Peter A. Hogan, Dirk Puetzfeld
We construct the field of an arbitrarily accelerating and rotating point mass which specializes to the Kerr solution when the acceleration vanishes and specializes to Kinnersley's arbitrarily accelerating point mass when the rotation vanishes.
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Explicit expressions for the quasi-Kinnersley tetrad for the quasi-Kerr metric are given. These provide a very clear and simple example of the quasi-Kinnersley tetrad, and may be useful in the future development of a `quasi-Teukolsky' scheme for the analysis of perturbation equations in spacetimes which are Petrov type I but in some sense close to type D.
The Hawking radiation of Dirac particles in an arbitrarily rectilinearly accelerating Kinnersley black hole is studied by using a method of the generalized tortoise coordinate transformation. Both the location and the temperature of the event horizon depend on the time and polar angle. The Hawking thermal radiation spectrum of Dirac particles is also derived. PACS numbers: 97.60.Lf, 04.70.Dy
The Hawking radiation of Weyl neutrinos in an arbitrarily accelerating Kinnersley black hole is investigated by using a method of the generalized tortoise coordinate transformation. Both the location and temperature of the event horizon depend on the time and on the angles. They coincide with previous results, but the thermal radiation spectrum of massless spinor particles displays a kind of spin-acceleration coupling effect.
Quantum thermal effect of Weyl neutrinos in a rectilinearly non-uniformly accelerating Kinnersley black hole is investigated by using the generalized tortoise coordinate transformation. The equation that determines the location, the Hawking temperature of the event horizon and the thermal radiation spectrum of neutrinos are derived. Our results show that the location and the temperature of the event horizon depend not only on the time but also on the angle.
Quantum thermal effect of Dirac particles in an arbitrarily accelerating Kinnersley black hole is investigated by using the method of generalized tortoise coordinate transformation. Both the location and the temperature of the event horizon depend on the advanced time and the angles. The Hawking thermal radiation spectrum of Dirac particles contains a new term which represents the interaction between particles with spin and black holes with acceleration. This spin-acceleration coupling effect is absent from the thermal radiation spectrum of scalar particles.
The Teukolsky formalism of black hole perturbation theory describes weak gravitational radiation generated by a mildly dynamical hole near equilibrium. A particular null tetrad of the background Kerr geometry, due to Kinnersley, plays a singularly important role within this formalism. In order to apply the rich physical intuition of Teukolsky's approach to the results of fully non-linear numerical simulations, one must approximate this Kinnersley tetrad using raw numerical data, with no a priori knowledge of a background. This paper addresses this issue by identifying the directions of the tet…
The spacetimes for Vaidya's radiating stellar exterior and Kinnersley's photon rocket in a cosmological background are obtained by performing the same conformal transformation as is used to obtain the Robertson-Walker metric from Minkowski spacetime. In the case of the cosmological radiating stellar exterior, a two-fluid solution is found that obeys all of the energy conditions and consists of a null fluid and a perfect fluid that asymptotically falls off to the standard cosmological values for pressure and density at infinite radius. For the cosmological photon rocket, the massless case is fi…
Stationary axisymmetric systems of two extreme Kerr sources separated by a massless strut, which arise as subfamilies of the well-known Kinnersley-Chitre solution, are studied. We present explicit analytical formulas for the individual masses and angular momenta of the constituents and establish the range of the parameters for which such systems can be regarded as describing black holes. The mass-angular momentum relations and the interaction force in the black-hole configurations are also analyzed. Furthermore, we construct a charging generalization of the Kinnersley-Chitre metric and, as app…
Algebraically special fields with no gravitational radiation are described. Kerr-Schild fields, which include as a concrete case the Kinnersley photon rocket, form an important subclass of them.
The Hawking radiation of Dirac particles in an arbitrarily rectilinearly accelerating Kinnersley black hole with electro-magnetic charge and cosmological constant is investigated by using method of the generalized tortoise coordinate transformation. Both the location and the temperature of the event horizon depend on the time and the polar angle. The Hawking thermal radiation spectrum of Dirac particles is also derived. PACS numbers: 04.70.Dy, 97.60.Lf
According to Kerr/CFT correspondence, some aspects of extremal and non-extremal Kerr black holes could be explained by using a 2D CFT. This paper is devoted to show how Kerr/CFT correspondence can work for the slowly accelerating Kerr black holes, in both extremal and non-extremal cases. The equation of motion for low frequency scalar probes in the near region possesses the "hidden" conformal symmetry, similar to that of the non-accelerating version. Assuming a particular value of associated central charge, Cardy formula in 2D CFT can recover the Bekenstein-Hawking entropy for the black hole u…
A class of exact solutions of the Einstein-Maxwell equations is presented which describes an accelerating and rotating charged black hole in an asymptotically de Sitter or anti-de Sitter universe. The metric is presented in a new and convenient form in which the meaning of the parameters is clearly identified, and from which the physical properties of the solution can readily be interpreted.
Accelerating Kerr solution in SU(1,1)/U(1)-sigma model
在SU(1,1)/U(1)-σ模型中，通过反散射技术构造了加速Kerr解的三种孤子形式，并证明其等价性。
The shadows of accelerating Kerr-Newman black hole and constraints from M87*
本文研究了加速Kerr-Newman黑洞参数对其阴影的影响，发现加速因子会缩小阴影尺寸并影响最佳观测角，结合EHT观测，阴影特征面积半径可对黑洞参数提供约束。
Generalized accelerating Kerr-Newman-NUT-de Sitter black holes
本文构造了带宇宙学常数的爱因斯坦-麦克斯韦方程的八参数旋转黑洞解，推广了加速Kerr-Newman-NUT-de Sitter时空，其中新参数$S_2$在静态极限下描述宇宙弦张力。
Warped Conformal Symmetries of the Accelerating Kerr Black Hole
本文通过在加速Kerr黑洞视界附近构造非平凡微分同胚，导出含中心扩张的扭曲CFT代数，并用其热熵公式再现黑洞熵，为全息对偶提供证据。
Repetitive Penrose Process in Accelerating Kerr Black Holes
本文研究加速 Kerr 黑洞中重复 Penrose 过程，发现其能量提取能力更强，且在特定条件下能量利用效率可超50%。
The near horizon geometry of the rotating C-metric, describing accelerating Kerr-Newman black holes, is analysed. It is shown that, at extremality, even though not it is isomorphic to the extremal Kerr-Newman, it remains a warped and twisted product of $AdS_2 \times S^2$. Therefore the methods of the Kerr/CFT correspondence can successfully be applied to build a CFT dual model, whose entropy reproduce, through the Cardy formula, the Beckenstein-Hawking entropy of the accelerating black hole. The mass of accelerating Kerr-Newman black hole, which fulfil the first law of thermodynamics, is prese…
Accelerating Kaluza-Klein black hole and Kerr/CFT correspondence
本文构造了Einstein-Maxwell-dilaton理论中的加速Kaluza-Klein黑洞新解，讨论其电磁场与面积-温度乘积等性质，并利用Kerr/CFT对应通过Cardy公式恢复了极端情形的Bekenstein-Hawking熵。
Scalar quasi-normal modes of accelerating Kerr-Newman-AdS black holes
本文利用等单性变形方法研究缓慢加速Kerr-Newman-AdS黑洞的标量扰动，将角向方程化为Heun方程并给出小加速旋转极限下的本征值渐近展开，径向问题转化为Fuchs系统tau函数的初值问题，最终计算了准正规模式频率。
We investigate the stable circular orbits of the spinning test particles around the accelerating Kerr black hole on the equatorial plane. To this end, we first calculate the equations of motion and analyze the parameter space for the particles. We study the effect of the particle's spin and the black hole's acceleration on the conserved angular momentum, conserved energy and radius of the spinning test particle on the innermost stable circular orbit. We find that the effect of the particle's spin on the orbit parameters is almost linear, the effect of the black hole's acceleration on those par…
An accelerated boundary correspondence (i.e. a flat spacetime accelerating mirror trajectory) is derived for the Kerr spacetime, with a general formula that ranges from the Schwarzschild limit (zero angular momentum) to the extreme maximal spin case (yielding asymptotic uniform acceleration). The beta Bogoliubov coefficients reveal the particle spectrum is a Planck distribution at late times with temperature cooler than a Schwarzschild black hole, due to the "spring constant" analog of angular momentum. The quantum stress tensor indicates a constant emission of energy flux at late times consis…
Energy extraction from the accelerating Kerr black hole via magnetic reconnection in the plunging region and circular orbit region
本研究基于磁重联机制，探究加速克尔黑洞落入区与圆轨道区的能量提取规律，明确了加速度参数、重联位置、极端状态对提取效率与区域的影响，验证了落入区效率更高的结论。
This first part of the series treats the Maxwell equations in the exterior of a slowly rotating Kerr black hole. By performing a first-order differential operator on each extreme Newman-Penrose (N-P) scalar in a Kinnersley tetrad, the resulting equation and the Teukolsky master equation for the extreme N-P component are both in the form of an inhomogeneous \textquotedblleft{spin-weighted Fackerell-Ipser equation\textquotedblright} (SWFIE) and constitute a weakly coupled system. We first prove energy estimate and integrated local energy decay (Morawetz) estimate for this type of inhomogeneous S…
Differential curvature invariants and event horizon detection for accelerating Kerr-Newman black holes in (anti-)de Sitter spacetime
本文解析计算加速、旋转、带电且含宇宙学常数黑洞的微分曲率不变量，证明Karlhede、Abdelqader-Lake及Page-Shoom等不变量可在视界或能面消失，从而用于事件视界探测。
The curvature scalar invariants of the Riemann tensor are important in General Relativity because they allow a manifestly coordinate invariant characterisation of certain geometrical properties of spacetimes such as, among others, curvature singularities, gravitomagnetism. We calculate explicit analytic expressions for the set of Zakhary-McIntosh curvature invariants for accelerating Kerr-Newman black holes in (anti-)de Sitter spacetime as well as for the Kerr-Newman-(anti-)de Sitter black hole. These black hole metrics belong to the most general type D solution of the Einstein-Maxwell equatio…
We first review the accelerating, rotating and charged Plebanski-Demianski (PD) black hole, which includes the Kerr-Newman rotating black hole and the Taub-NUT spacetime. The main feature of this black hole is that it has 4 horizons like event horizon, Cauchy horizon and two accelerating horizons. In the non-extremal case, the surface area, entropy, surface gravity, temperature, angular velocity, Komar energy and irreducible mass on the event horizon and Cauchy horizon are presented for PD black hole. The entropy product, temperature product, Komar energy product and irreducible mass product a…
Various aspects of the C-metric representing two rotating charged black holes accelerated in opposite directions are summarized and its limits are considered. A particular attention is paid to the special-relativistic limit in which the electromagnetic field becomes the "magic field" of two oppositely accelerated rotating charged relativistic discs. When the acceleration vanishes the usual electromagnetic magic field of the Kerr-Newman black hole with gravitational constant set to zero arises. Properties of the accelerated discs and the fields produced are studied and illustrated graphically. …
Removal of conical singularities from rotating C-metrics and dual CFT entropy
本文通过 Ehlers 变换将旋转 C-度规嵌入旋转引力宇宙，借自旋—自旋相互作用消除两处锥形奇点，并用 Kerr/CFT 技术研究其熵及带电推广。
We systematically investigate axisymmetric extremal isolated horizons (EIHs) defined by vanishing surface gravity, corresponding to zero temperature. In the first part, using the Newman-Penrose and GHP formalism we derive the most general metric function for such EIHs in the Einstein-Maxwell theory, which complements the previous result of Lewandowski and Pawlowski. We prove that it depends on 5 independent parameters, namely deficit angles on the north and south poles of a spherical-like section of the horizon, its radius (area), and total electric and magnetic charges of the black hole. The …
Extreme mass-ratio inspirals around rotating accelerating black holes
该研究利用EMRI对克尔动力学偏离的敏感性，构建旋转加速黑洞的EMRI波形计算框架，发现弱加速度可在长时标EMRI上产生量级为弧度的相位印记。
Using the covariant phase space formalism, we compute the conserved charges for a solution, describing an accelerating and electrically charged Reissner-Nordstrom black hole. The metric is regular provided that the acceleration is driven by an external electric field, in spite of the usual string of the standard C-metric. The Smarr formula and the first law of black hole thermodynamics are fulfilled. The resulting mass has the same form of the Christodoulou-Ruffini mass formula. On the basis of these results, we can extrapolate the mass and thermodynamics of the rotating C-metric, which descri…
Repetitive Penrose Process in Rotating 4D Einstein-Gauss-Bonnet Black Holes
研究旋转四维爱因斯坦-高斯-博内黑洞中中性粒子的重复彭罗斯过程及非线性迭代方案，通过施加条件获守恒方程解，发现耦合对黑洞相关特性有影响，能量投资回报率与利用效率呈现特定变化规律，有别于其他黑洞情形。
New class of rotating charged black holes with nonaligned electromagnetic field
本文提出了一类外尔张量主零方向与法拉第张量零本征方向不对齐的爱因斯坦-麦克斯韦方程新解，通过7个参数进行描述，证明其代表浸没于外部电磁场中的旋扭带电加速黑洞。
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