Jia-Hui Huang, Zhan-Feng Mai
The superradiant stability is investigated for non-extremal Reissner-Nordstrom black hole. We use an algebraic method to demonstrate that all non-extremal Reissner-Nordstrom black holes are superradiantly stable against a charged massive scalar perturbation. This improves the results obtained before for non-extremal Reissner-Nordstrom black holes.
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The superradiant stability of higher dimensional non-extremal Reissner-Nordstrom black holes under charged massive scalar perturbation is analytically studied. We extend an analytical method developed by one of the authors in the extremal Reissner-Nordstrom black hole cases to non-extremal cases. Using the new analytical method, we revisit four-dimensional Reissner-Nordstrom black hole case and obtain that four-dimensional Reissner-Nordstrom black hole is superradiantly stable, which is consistent with results in previous works. We then analytically prove that the five-dimensional Reissner-Nor…
Black holes immersed in magnetic fields are believed to be important systems in astrophysics. One interesting topic on these systems is their superradiant stability property. In the present paper, we analytically obtain the superradiantly stable regime for the asymptotically flat dyonic Reissner-Nordstrom black holes with charged massive scalar perturbation. The effective potential experienced by the scalar perturbation in the dyonic black hole background is obtained and analyzed. It is found that the dyonic black hole is superradiantly stable in the regime $0<r_{-}/r_{+}<2/3$, where $r_\pm$ a…
The superradiant stability of asymptotically flat D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation is analytically studied. Recently, an analytical method has been proposed by the author and used to prove that five and six-dimensional extremal Reissner-Nordstrom black holes are superradiantly stable under charged massive scalar perturbation. We apply this analytical method in the D-dimensional extremal Reissner-Nordstrom black hole cases and prove that the D-dimensional Reissner-Nordstrom black holes are all superradiantly stable under charged mas…
The superradiant stability of five and six-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation is studied. In each case, it is analytically proved that the effective potential experienced by the scalar perturbation has only one maximum outside the black hole horizon and no potential well exists for the superradiance modes. So the five and six-dimensional extremal Reissner-Nordstrom black holes are superradiantly stable. In the proof, we develop a new method which is based on the Descartes' rule of signs for the polynomial equations. Our results general…
The Highly Damped Quasinormal Modes of Extremal Reissner-Nordström and Reissner-Nordström-de Sitter Black Holes
详细分析了$D$维极端Reissner-Nordstr $\ddot{\rm{o}}$ m和Reissner-Nordstr $\ddot{\rm{o}}$ m-de Sitter黑洞的高阻尼拟正规模.我们只考虑事件视界和柯西内视界重合的极端情况。我们表明，即使在极端的情况下的斯托克斯/反斯托克斯线的拓扑结构是不同的，比非极端的情况下，极端黑洞的高阻尼的准正规模式的频率完全匹配的极端极限的非极端黑洞准正规模式的频率。
The Reissner-Nordström black hole - moving mirror correspondence is solved. The beta coefficients reveal that charge makes a black hole radiate fewer particles (neutral massless scalars) per frequency. An old Reissner-Nordström black hole emits particles in an explicit Planck distribution with temperature corresponding to the surface gravity of its outer horizon.
Quantum Effects for the Dirac Field in Reissner-Nordstrom-AdS Black Hole Background
研究了带电大质量Dirac场在Reissner-Nordstrom-AdS黑洞背景下的行为.研究了Dirac哈密顿量的本质自伴性。然后，放电问题的分析进行类比与标准的Reissner-Nordstrom黑洞的情况下。
Electrostatic in Reissner-Nordstrom space-time with a conical defect
本文计算了具有锥形缺陷的Reissner-Nordstrom时空中点电荷产生的静电势。给出了自能的表达式。
Embedding the Reissner-Nordstrom spacetime in Euclidean and Minkowski spaces
本文研究了Reissner-Nordstrom黑洞时空中超曲面的嵌入图。这些嵌入图作为有用的工具来可视化超曲面和整个时空的几何形状。
Reissner-Nordström anti-de Sitter black holes and energy
我们证明了四分体场的度规给出了Reissner-Nordström反德西特黑洞的能量，给出了Møller四分体引力理论中正确的能量值。
Conformal isometry of the Reissner-Nordstrom-de Sitter black hole
Couch和Torrence指出极端Reissner-Nordstrom解具有离散的共形等距。利用Romans的结果，证明了当允许非零的宇宙学常数时，这种对称性也存在。
Born-Infeld generalization of the Reissner-Nordstrom black hole
在这项工作中，我们研究的几何形状，是非线性电磁推广的Reissner-Nordstrom解决方案的测试粒子的轨迹。所研究的时空是一个爱因斯坦-玻恩-因菲尔德解，在一个规则的事件视界外是非奇异的，其特征在于有三个参数：质量$M$，电荷$Q$和玻恩-因菲尔德参数$b$与原点处的电场的大小有关。渐近地，它是Reissner-Nordstrom解
S-matrices for spinor particles on Reissner-Nordström black holes
正确地指出了在考虑Reissner-Nordström黑洞上旋量的拓扑不等价组态对霍金辐射的贡献时所引起的散射问题。相应的$S$ -矩阵的描述和方便的数值计算的形式。
We present a novel solution describing magnetized spacetime outside a massive object with electric charge equipped with NUT parameter. To get the solution, we employ the Ernst magnetization to the Reissner-Nordstrom-Taub-NUT spacetime as the seed. After discussing some physical aspects of the spacetime, we show that the extremal entropy of a magnetized Reissner-Nordstrom-Taub-NUT black hole can be reproduced by using the Cardy formula.
In this paper we consider some applications of the extended Dray-t'Hooft-Redmount relation. In particular, using this relation, we study geometries of interacting thin shells near the future Cauchy horizon of a Reissner-Nordstrom black hole.
It is known that the extremal Reissner-Nordström black hole possesses a discrete conformal isometry that exchanges the black hole horizon with infinity. It is also known that the Reissner-Nordström-de Sitter spacetime posseses a similar discrete conformal isometry which exchanges the event horizon of the black hole with the cosmological horizon. In this short paper we will continue this line of thought and extend the conformal isometry of the latter spacetime and give an unphysical interpretation of the negative root.
A concentric charged thin-shell encircling a Reissner-Nordström black hole screens the clectric / magnetic charge completely to match with an external Schwarzschild black hole. The negative mass thin-shell is shown to be stable against radial perturbations. It is shown further that by reversing the roles of inside Reissner-Nordström and outside Schwarzschild geometries the mass of the appropriate shell becomes positive.
Dipole Perturbations of the Reissner-Nordstrom Solution: The Polar Case
Reissner-Nordstrom解的线性极扰动的形式主义由Escherasekhar发展推广到包括偶极（l=1）扰动的情况。然后，微扰的度量系数和麦克斯韦张量的分量的计算。
On the Singularities of Reissner-Nordström Space-Time
证明了如果两个具有相同质量m和电荷e的Reissner-Nordström时空在奇点处粘在一起，则第一个时空的黑洞中的光线可以连续地穿过奇点进入第二个时空的黑洞.在Reissner-Nordström时空奇点附近的潮汐力的行为被检查通过考虑两个粒子之间发生了什么向奇点自由下落。
Reissner-Nordstrom Black Holes and Thick Domain Walls
数值求解了Reissner-Nordstrom黑洞背景下实自相互作用标量场的运动方程，得到了一系列代表厚畴壁带电黑洞系统的静态轴对称解.在极端Reissner-Nordstrom黑洞解的情况下，我们发现存在一个依赖于黑洞质量和畴壁宽度的参数，该参数构成了发生驱逐的上限。
Quantization of the Reissner-Nordström Black Hole
Reissner-Nordström解族可以理解为产生于耦合到三维欧氏引力的非线性SO（2，1）/SO（1，1）西格玛模型的球对称扇区。在这种情况下，进行群理论量子化。我们确定了理论的观测量，并计算了它们的光谱。
We show that the cold horizon of the extremal Reissner-Nordström can be considered as the throat of a thin-shell wormhole with zero total exotic matter and positive angular pressure. Such a wormhole is physical and stable against radial perturbations provided an appropriate perfect fluid exists at the throat.
The double-Reissner-Nordstrom solution and the interaction force between two spherically symmetric charged particles
本文将N=2的Breton-Manko-Aguilar静电场解改写为Varzugin-Chistyakov参数化（M_i，Q_i，R），得到了一般双Reissner-Nordstrom解的物理表示.本文导出了两个任意Reissner-Nordstrom组分间相互作用力的简明解析公式，并给出了一个包含两个带相反电荷粒子的平衡组态的例子，证实了Bonnor早先关于这种组态存在的预言。
Can nonextremal Reissner-Nordstrom black hole become extremal by assimilating infalling charged particle and shell?
利用Bekenstein和Rosenzweig提出的Gedanken实验，我们证明了非极值Reissner-Nordstrom黑洞不能通过吸收下落的带电粒子和带电球壳而变成极值黑洞.
Based on semiclassical tunneling method, we focus on charged fermions tunneling from higher-dimensional Reissner-Nordström black hole. We first simplify the Dirac equation by semiclassical approximation, and then a semiclassical Hamilton-Jacobi equation is obtained. Using the Hamilton-Jacobi equation, we study the Hawking temperature and fermions tunneling rate at the event horizon of the higher-dimensional Reissner-Nordström black hole spacetime. Finally, the correct entropy is calculation by the method beyond semiclassical approximation.
The superradiant stability of higher dimensional non-extremal Reissner-Nordstrom black hole under charged massive scalar perturbation is analytically studied. We extend our previous studies of four- and five-dimensional non-extremal Reissner-Nordstrom black hole cases to six-dimensional case. By analyzing the derivative of the effective potential with an analytical method, we find that no potential well exists outside the outer horizon of the black hole for the superradiant scalar modes. This means that there is no black hole bomb for the system consisting of six-dimensional Reissner-Nordstrom…
This note discusses the late-time decay of perturbations outside extremal Reissner-Nordstrom black hole. We consider individual spherical-harmonic modes $l$ of massless scalar field. The initial data are assumed to be of compact support, with generic regular behavior across the horizon. The scalar perturbations are found to decay at late time as $t^{-(2l+2)}$. We also provide the spatial dependence of the late-time tails, including the exact overall pre-factor.
Energy-Momentum Tensor Valued Distributions for the Schwarzschild and Reissner-Nordstrom Geometries
本文讨论了在分布理论框架下计算史瓦西时空分布值能量动量张量的方法。这种方法避免了与曲率张量中奇异性正则化相关的问题，并与广义相对论中目前标准的不连续性处理方法具有共同的特征。最后，Reissner-Nordstrom时空也被认为是使用相同的方法。
We study thermodynamic quantities and examine the stability of a black hole in a cavity inspired by the noncommutative geometry. It turns out that thermodynamic behavior of the noncommutative black hole is analogous to that of the Reissner-Nordström black hole in the near extremal limit. Moreover, we identify the noncommutative parameter with the squared electric charge with some constants.
Using Relativistic Quantum Geometry we show that the entropy can decrease in very small BHs, under certain circumstances, but always increases in very massive Black-Holes.
Spontaneous pair production near magnetized Reissner-Nordstrom black holes
本文研究了近极端磁化Reissner-Nordstrom黑洞附近的粒子对产生现象，将其解释为强场下的Schwinger效应，并通过数值示例展示了外部磁场增长与标量吸收之间的对应关系。
Allowing for scale dependence of the gravitational couplings leads to a generalization of the corresponding field equations. In this work, those equations are solved for the Einstein-Hilbert and the Einstein-Maxwell case, leading to generalizations of the (Anti)-de Sitter and the Reissner-Nordström black holes. Those solutions are discussed and compared to their classical counterparts.
Active gravitational mass and the invariant characterization of Reissner-Nordstrom spacetime
本文用标量多项式不变量和Karlhede分类方法分析了Reissner-Nordstrom时空的有效引力质量概念。我们表明，虽然Kretschmann标量不产生预期的表达式的积极引力质量，标量多项式不变量形成的外尔张量，和嘉当标量，做。
In this paper we propose a stationary solution of Einstein's field equations describing Reissner-Nordstrom black hole in dark energy background. It is to be regarded as the Reissner-Nordstrom black hole is embedded into the dark energy solution producing Reissner-Nordstrom-dark energy black hole. We find that the space-time geometry of Reissner-Nordstrom-dark energy solution is Petrov type $D$ in the classification of space-times. It is also shown that the embedded space-time possesses an energy-momentum tensor of the electromagnetic field interacting with the dark energy having negative press…
Phase transition between non-extremal and extremal Reissner-Nordström black holes
讨论了非极值和极值Reissner-Nordström黑洞之间的相变.这种跃迁被认为是非极值和近极值黑洞之间跃迁的$T \to 0$极限。我们证明了从非极值黑洞到极值黑洞的蒸发过程是可能发生的，但由于最高温度的存在，不可能发生相反的过程。此外，还证明了在AdS Reissner-Nordström黑洞中不可能发生大小黑洞之间的Hawking-Page相变.
We investigate the existence of Reissner-Nordström (RN) type black holes in f(R) gravity. Our emphasis is to derive, in the presence of electrostatic source, the necessary conditions which provide such static, spherically symmetric (SSS) black holes available in f(R) gravity. We also study the thermodynamics of the black hole solution.
Dipole perturbations of the Reissner-Nordstrom solution. II. The axial case
我们研究了轴向扰动模式下Reissner-Nordström解的线性度规扰动。我们发现，著名的微扰分析失败的情况下，偶极$(l=1)$扰动，虽然有效的更高的多极子。我们定义了新的径向函数，与微扰形式主义推广到所有的多极订单，包括偶极子。然后，我们通过构造扰动度量和麦克斯韦张量来完成解决方案。
Energy Distribution in Reissner-Nordstrom anti-de Sitter black holes in Moller Prescription
这篇论文已经被arXiv管理员删除，因为它抄袭了gr-qc/0010068、gr-qc/9911018、gr-qc/0303034和gr-qc/0212018。
In the eikonal regime, we analytically calculate quasinormal resonance frequencies for massless scalar perturbations of the higher-dimensional Reissner--Nordström (RN) black holes. Remarkably, we find that the higher-dimensional RN black holes coupled with the massless scalar fields have the fastest relaxation rates in the Schwarzschild limit, this is qualitatively different from the four-dimensional case where the black hole with non-vanishing charge has the fastest relaxation rate.
We study isoperimetric surfaces in the Reissner-Nordström spacetime, with emphasis on the cuasilocal inequality between area and charge. We analyze the stability of the isoperimetric spheres and we found that there is a lower bound on the area in terms of the charge, and that the inequality is saturated in the transition from the superextremal to the subextremal case. We also derive a general inequality between area and charge for stable isoperimetric surfaces in maximal electro-vacuum initial data.
In this paper, we construct the exact solutions of Reissner-Nordstrom black holes in the presence of quartic quasi-topological gravity. we obtain the thermodynamics and conserved quantities of the solutions and check the first law of thermodynamics. In studying the physical properties of the solutions, we consider asymptotically Ads, dS and flat solutions of Reissner-Nordstrom black hole in quartic quasi-topological gravity and compare them with Einstein and third-order quasi-topological gravities. we also investigate the thermal stability of the solutions that we show the thermal stability ar…
We investigate the general relativistic magnetohydrodynamic (GRMHD) equations for cold plasma around the Reissner-Nordström black hole. Applying 3+1 spacetime split we linearize the perturbed equations for non-magnetized/magnetized plasma in both rotating and non-rotating background. By Fourier analyze we then derive dispersion relations and investigate the existence of waves with positive angular frequency in the vicinity of the black hole horizon. The analysis finds propagation of negative phase and group velocities for rotating magnetized surroundings.
Spontaneous loss of charge of the Reissner-Nordstrom black hole
本文用泛函方法研究了Reissner-Nordtrom黑洞背景下带电标量场量子化后的真空不稳定性，并证明了黑洞蒸发过程的第一阶段可以由类Schwinger效应驱动.
The recent work of Nation et al in which Hawking radiation energy and entropy flow from a black hole can be regarded as a one-dimensional (1D) Landauer transport process is extended to the case of a Reissner-Nordstrom (RN) black hole. It is found that the flow of charge current can also be transported via a 1D quantum channel except the current of Hawking radiation. The maximum entropy current, which is shown to be particle statistics independence, is also obtained.
On scattering off the extreme Reissner-Nordström black hole in N=2 supergravity
研究了N=2超引力扰动场在极端Reissner-Nordström黑洞周围的散射振幅。由于极端黑洞是理论的BPS态，并且保持了完整的整体超对称性（N=1），所以各分量场的散射振幅应该是相互关联的。本文导出了散射振幅的变换公式。
No black hole bomb for $D$-dimensional non-extremal Reissner-Nordstrom black holes against charged massive scalar perturbation
本文解析证明，任意维数（$D\geq7$）的非极端Reissner-Nordstrom黑洞在带电有质量标量微扰下均无超辐射不稳定，即不存在黑洞炸弹，推广了五维和六维的已知结论。
In this paper, we study the dynamical instability of gaseous sphere under radial oscillations approaching the Reissner-Nordström limit. For this purpose, we derive linearized perturbed equation of motion following the Eulerian and Lagrangian approaches. We formulate perturbed pressure in terms of adiabatic index by employing the conservation of baryon numbers. A variational principle is established to evaluate characteristic frequencies of oscillations which lead to the criteria for dynamical stability. The dynamical instability of homogeneous sphere as well as relativistic polytropes with dif…
We analyse various conformal properties of the extremal Reissner-Nordström spacetime. In particular, we obtain conformal representations of the neighbourhoods of spatial infinity, timelike infinity and the cylindrical end ---the so-called cylinders at spatial infinity and at the horizon, respectively--- which are regular with respect to the conformal Einstein field equations and their associated initial data sets. We discuss possible implications of these constructions for the propagation of test fields and non-linear perturbations of the gravitational field close to the horizon.
In this work we address the study of movement of charged particles in the background of charged black holes with non-trivial asymptotic behavior. We compute the exact trajectories for massive-charged particles in term of elliptic Jacobi function. Finally we obtain a detailed description of orbits for Reissner-Nordström (Anti)-de Sitter black holes in terms of charge, mass and energy of the particles.
Massive Charged Scalar Quasinormal Modes of Reissner-Nördstrom Black Hole Surrounded by Quintessence
利用三阶WKB近似方法计算了静态球对称Reissner-Nördstrom黑洞周围大质量带电标量场扰动的简正模复频率.由于存在的精髓，准正常频率衰减更慢。本文研究了准正规频率随黑洞电荷、微扰标量场的质量和电荷以及本征态参量的变化。
Reissner-Nordstrom black hole lensing
在本文中，我们研究了强引力透镜的情况下，透镜是一个Reissner-Nordstrom黑洞。我们得到了基本方程，并表明，在Schwarzschild黑洞的情况下，除了主图像和次图像，两个无限集的相对论性图像的形成。我们发现相对论图像的位置和放大的解析表达式。的形式主义的情况下，低质量的黑洞放置在星系晕。
Twisted spinors on Schwarzschild and Reissner-Nordstrom black holes
我们描述了史瓦西和Reissner-Nordström黑洞上的旋量场的扭曲结构，这种扭曲结构是由于标准黑洞拓扑上的扭曲旋量束的存在而产生的。从物理的观点来看，旋量扭曲组态的出现与狄拉克单极子的自然存在有关，狄拉克单极子在对应于扭曲旋量丛的复杂线丛中扮演连接的角色。最后，对霍金辐射的可能应用作了概述。
The behavior of a massive charged test Dirac field in the background of a Reissner-Nordström black hole is investigated. Especially, we obtain the frequencies of quasibound states by solving the Dirac equation numerically both in time and frequency domain. Our results suggest that although the absence of superradiance excludes the existence of stationary solutions for massive Dirac fields, it is still possible to find arbitrarily long-lived solutions.
Scalar radiation emitted from a rotating source around a Reissner-Nordstrom black hole
本文研究了标量源在圆形轨道上围绕Reissner-Nordstrom黑洞的辐射。粒子和能量发射率的分析计算在低和高频率的制度，并示出与数值计算完全一致。我们的调查是与最近的讨论的有效性的宇宙监督猜想在量子领域。
Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited
基于广义不确定原理，通过计算视界附近的自由度，研究了四维黑洞的熵，得到了与视界处的表面积成正比的（有限）熵，而没有传统brick-wall方法中引入的截断.
Using a new geometrical approach introduced by Gibbons and Werner we study the deflection angle by Reissner-Nordström black holes in the background spacetimes with a global monopole and a cosmic string. By calculating the corresponding optical Gaussian curvature and applying the Gauss-Bonnet theorem to the optical metric we find the leading terms of the deflection angle in the weak limit approximation. We find that the deflection angle increases due to the presence of topological defects.
A technique for extracting from the appropriate field equations the relativistic motion of Schwarzschild, Reissner-Nordstrom and Kerr particles moving in external fields is motivated and illustrated. The key assumptions are that (a) the particles are isolated and (b) near the particles the wave fronts of the radiation generated by their motion are smoothly deformed spheres. No divergent integrals arise in this approach. The particles are not test particles. The formalism is used, however, to derive the Mathisson-Papapetrou equations of motion of spinning test particles, neglecting spin-spin te…
The 3+1 spacetime formulation of general relativity is used to investigate the transverse waves propagating in a plasma influenced by the gravitational field of Reissner-Nordstrom black hole, as explained in an earlier paper, to take account of relativistic effects due to the event horizon. Here, a local approximation is used to investigate the one-dimensional radial propagation of longitudinal waves. We derive the dispersion relation for these waves and solve it numerically for the wave number k.
Massive charged scalar field in a Reissner-Nordstrom black hole background: quasinormal ringing
本文计算了Reissner-Nordstrom黑洞背景下大质量带电标量场的特征频率。证明了在拟正规振铃阶段，中性微扰的阻尼比带电微扰的阻尼慢，这与很晚的行为相反。在极值黑洞的极限，带电和中性扰动的阻尼率是一致的。可能的连接，这与临界崩溃的大规模标量电动力学进行了讨论。
We study light deflection from a Reissner-Nordström-de Sitter black hole in the gravitational monopole background. We first calculate the orbit equation and the contribution of the monopole and black hole parameters to the deflection angle up to second-order for the vanishing cosmological constant case using the Rindler-Ishak method. We also obtain the contribution of the cosmological constant to light deflection in this geometry in the weak field limit using the same method.
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