Xavier Calmet, Folkert Kuipers
We review some recent results obtained for black holes using effective field theory methods applied to quantum gravity, in particular the unique effective action. Black holes are complex thermodynamical objects that not only have a temperature but also have a pressure. Furthermore, they have quantum hair which provides a solution to the black hole information paradox.
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Thermodynamics of black holes in the deformed Hořava-Lifshitz gravity
研究了具有耦合常数$λ$的变形Hoenava-Lifshitz引力场中黑洞的热力学性质.对于$λ=1$，黑洞表现为Reissner-Norström黑洞。因此，这与爱因斯坦引力的史瓦西黑洞不同。本文探讨了与广义不确定原理的联系，以理解霍瓦瓦-利夫希茨黑洞。
TeV scale black holes thermodynamics with extra dimensions and quantum gravity effects
研究了具有大额外维的模型宇宙中存在最小长度和最大动量的量子引力效应时TeV尺度黑洞的热力学.
In this paper, we examine the validity of the first law of inner mechanics of black holes in Generalized Minimal Massive Gravity. We consider BTZ and spacelike warped black holes and show that the first law of inner mechanics is valid for given black holes in Generalized Minimal Massive Gravity. As we expect, due to the presence of the Lorentz Chern-Simons term in Lagrangian of considered model, the product of the entropies of the inner and outer horizons depends on the mass as it happens in Topologically Massive Gravity.
We look into the $AdS$ black holes from two-dimensional gravity perspective. In this work, we extend the previous results of holographic renormalization group flows to dimensions two. By introducing a superpotential, we derive the flow equations in two-dimensional dilaton gravity. We find a quantity which monotonically decreases along flows and give some comments on holographic $c$-theorem. As examples, we show that recently studied supersymmetric $AdS$ black hole solutions generically dimensionally reduce to two-dimensional dilaton gravity, and obtain the flow equations for black hole solutio…
On black strings & branes in Lovelock gravity
众所周知，在纯爱因斯坦引力中，只要给真空黑洞解加上平坦方向，就可以构造出黑弦和黑膜。在存在宇宙学常数的情况下，类似的结构也成立。虽然这些建设失败的一般洛夫洛克理论，我们表明，他们进行了直截了当的一类洛夫洛克引力理论，具有（局部）独特的常曲率真空。
Charged Black Holes in New Massive Gravity
通过加入电磁Maxwell作用量和Chern-Simons作用量，构造了三维新质量引力（NMG）的带电黑洞解.在特定的临界点上，我们发现带电黑洞是以扭曲的AdS_3和“log”解的形式存在的。计算了这些黑洞的熵、质量和角动量。
The general form of the action growth for a large class of static black hole solutions in modified gravity which includes $F(R)$-gravity models is computed. The cases of black hole solutions with non vanishing Ricci curvature are also considered, generalizing the results previously found and valid only for constant curvature black holes. An argument is put forward to provide a physical interpretation of the results.
2-d Gravity as a Limit of the SL(2,R) Black Hole
研究了$SL(2,R)/U(1)$黑洞在子群U（1）的提升下的变换.发现该黑洞的快子顶点算符进入了与引力耦合的$c=1$共形场论。黑洞的离散态也趋向于二维引力理论的离散态。讨论了黑洞额外离散态在boost作用下的命运。
Asymptotically and non-asymptotically flat static black rings in charged dilaton gravity
利用约化场方程的西格玛模型结构，系统地导出了EMd引力中的渐近平坦五维黑环。构造了五维空间中新的非渐近平坦EMd黑环解，并分析了它们的物理性质。
Charged black holes from near extremal black holes
我们从近极值黑膜的性质中恢复了一类远极值带电黑膜的性质，推广了Danielsson，Guijosa和Kruczenski的结果。
In this paper, we introduced the black brane solution in Rastall theory and in the context of massive gravity. The ratio of shear viscosity to entropy density is calculated for this solution. Our result shows that the KSS bound violates for this theory.
Entropy of black holes in the deformed Hořava-Lifshitz gravity
利用热力学热力学第一定律，在变形的Hoenava-Lifshitz引力场中，得到了Kehagias-Sfetsos黑洞的熵.当将广义不确定原理应用于Schwarzschild黑洞时，熵$S=A/4+(π/ω)\ln(A/4)$可以解释为广义测不准原理激发的黑洞熵.因此，这意味着Kehagias-Sfetsos黑洞和GUP启发的史瓦西黑洞之间的熵的对偶性是存在的。
Black Holes in Born-Infeld Extended New Massive Gravity
本文在Born-Infeld推广的新质量引力理论下，发现了不同类型的黑洞。我们的解包括四阶和六阶导数展开作用下的（不）带电扭曲（A）dS黑洞.我们还研究了未扩展BI作用中的黑洞。在每一种情况下，我们计算熵，角动量和质量的黑洞。我们还找到了CFT的中心荷。
Plenty of Nothing: Black Hole Entropy in Induced Gravity
我们演示了如何萨哈罗夫的想法，诱导引力允许一个解释的熵的黑洞的物理力学起源。根据这一思想，引力成为动力学的结果，量子效应在系统的重成分的基础理论。黑洞熵与视界存在时诱导引力中真空的性质有关。我们通过直接计算组分的态来获得Bekenstein-Hawking熵。
Static Charged Black Hole Solutions in Horava-Lifshitz Gravity
在本文中，我们研究了荷电黑洞解在有或无可投射条件下的荷电黑洞解.本文考虑电磁场与霍氏引力耦合的最一般作用形式。在可投射条件下，我们在Painlevé-Gullstrand型坐标系下，在红外区得到dS-Reissner-Nordstrom黑洞解，在紫外区得到deSitter时空解.在不满足可投射性条件的情况下，在红外区域，我们找到了一个特殊的静电荷黑洞解。
Charged black holes in Horava gravity
本文利用爱因斯坦-以太方法，在Horava引力的kronometric公式中，研究了允许体U（1）矢量场的静态球对称黑洞解.我们检查解析解和研究数值结果的限制，khronon不backreact的度量。
Black hole entropy in modified gravity models
本文在纯史瓦西和史瓦西-德西特黑洞研究的基础上，利用Noether荷方法，分析了一些修正的引力模型。对经典爱因斯坦黑洞熵的修正出现了。它明确示出了如何可以使用的条件，以限制修改后的引力理论的可行性的正熵。
Black Holes in Two Dimensional Dilaton Gravity and Nonlinear Klein-Gordon Soliton
考虑了耦合到具有四次相互作用项的Klein-Gordon物质场的二维重子引力。该理论有一个经典的解决方案，表现出黑洞形成的孤立子。研究了孤子诱导的黑洞的几何结构。
Scalar-tensor theory of gravity with nonlinear electromagnetic field, minimally coupled to gravity is considered and static black hole solutions are obtained. Namely, power-law and Born-Infeld nonlinear Lagrangians for the electromagnetic field are examined. Since the cosmological constant is taken into account, it allowed us to investigate so-called topological black holes. Black hole thermodynamics is studied, in particular temperature of the black holes is calculated and examined and the first law of thermodynamics is obtained with help of Wald's approach.
Maximally symmetric black holes with torsion in Lovelock gravity
本文研究五维Lovelock引力中带挠率的最大对称黑洞，求得每类对称性下由两个独立常数描述的解，并确定了其守恒荷。
Quantum Gravity Corrections for Schwarzschild Black Holes
我们考虑描述十一维史瓦西黑洞的矩阵理论方案。我们认为，两个黑洞之间的牛顿势接受一个真正的长程量子引力修正，这是有限的，可以从超引力的观点来计算。结果与矩阵理论一致，直到我们没有计算的数值因子。
Black hole radiance, short distances, and TeV gravity
利用黑洞辐射的两点函数的推导，可以定量估计短距离对光谱的贡献。对于具有$κl_P <<1$的黑洞，热性是保持的。然而，偏离普朗克谱可以发现小型黑洞在TeV的重力场景，甚至在达到普朗克阶段。
The Complete Black Brane Solutions in D-dimensional Coupled Gravity System
本文仅用引力、介子和反对称张量相互作用系统的运动方程来研究黑膜解。利用Schwarzian导数的性质，得到了该方程组的完全解。对于某些特殊值，我们得到了著名的BPS膜和黑膜解。
Charged Black Hole Solutions in Einstein-Born-Infeld gravity with a Cosmological constant
我们构造了具有宇宙学常数的Einstein-Born-Infeld引力的黑洞解。由于椭圆函数出现在度规的解中，我们用数值方法构造视界。这些解的因果结构与具有宇宙学常数的爱因斯坦-麦克斯韦引力解的因果结构截然不同。带电的德西特黑洞可以有三个视界，而带电的反德西特黑洞可以有一个或两个视界，这取决于所选择的参数。
Black Hole Entropy in Induced Gravity: Reduction to 2D Quantum Field Theory on the Horizon
本文讨论了在诱导引力作用下，黑洞的Bekenstein-Hawking熵的自由度可以用定义在视界分岔面上的二维量子场论来描述。对一类含有标量、旋量和矢量重分量的诱导引力模型证明了这一结果。
Quantized 2d Dilaton Gravity and Black Holes
为了量子化的目的，我们研究了一种修正的量子引力，它的作用量可分为动力学项和宇宙学项。即使在量子化理论中，黑洞解仍然存在，但是静态解的ADM质量从下面看是无界的。讨论了相互作用物质场的量子引力效应和夸克引力的弦磁化率。
Black Hole Solutions in Quantum Gravity with Vilkovisky-DeWitt Effective Action
本文利用 Vilkovisky-DeWitt 唯一有效作用量推导 Einstein 方程的量子引力修正，并类比二次引力发现了在视界附近和远场极限均存在的新类黑洞解。
We apply the Wald formalism to obtain masses and angular momenta of black holes in three dimensional gravity theories using the first order formalism. Wald formalism suggests that the entropy of a black hole can be defined by an integration of a conserved charge on the bifurcation horizon, and mass and angular momentum of a black hole as an integration of some charge variation form at spatial infinity. The action of three dimensional gravity theories can be represented by a form including some auxiliary fields. As well-known examples we have calculated masses and angular momenta of some black …
Black Hole Formation by Sine-Gordon Solitons in Two-dimensional Dilaton Gravity
本文讨论了耦合到sine-Gordon物质场的二维量子引力的CGHS模型。该理论是经典可解的，并结合黑洞的形成研究了一扭和两扭型孤子的解。
Loop Quantum gravity predicts that black holes evolve into white holes.
Thermodynamic and classical instability of AdS black holes in fourth-order gravity
研究了四阶引力下AdS黑洞的热力学和经典不稳定性。这些黑洞包括新的大质量引力下的BTZ黑洞、Schwarzschild-AdS黑洞和四阶引力下的高维AdS黑洞。利用Abbot-Deser-Tekin方法计算的所有热力学量研究了AdS黑洞的热力学不稳定性。另一方面，我们研究了在AdS黑洞周围传播的大质量引力子的$s$模Gregory-Laflamme不稳定性。我们建立了AdS黑洞的热力学不稳定性和GL不稳定性之间的联系。这可能证明了Gubser-Mitra猜想，它适用于从四阶引力发现的AdS黑洞。
The "complexity = action" duality states that the quantum complexity is equal to the action of the stationary AdS black holes within the Wheeler-DeWitt patch at late time approximation. We compute the action growth rates of the neutral and charged black holes in massive gravity and the neutral, charged and Kerr-Newman black holes in $f(R)$ gravity to test this conjecture. Besides, we investigate the effects of the massive graviton terms, higher derivative terms and the topology of the black hole horizon on the complexity growth rate.
On the counting of black hole states in loop quantum gravity
我们认为，在圈量子引力中计算黑洞态应该只考虑视界处自旋最小的态。
Stability of Schwarzschild black holes in fourth-order gravity revisited
在四阶引力理论中，我们重新讨论了Schwarzschild黑洞的经典稳定性。与这个黑洞的稳定性相反，线性化扰动表现出具有五维黑弦的Gregory-Laflamme不稳定性的不稳定模式。这清楚地表明了黑洞在四阶引力作用下的不稳定性，它具有$α=-β/3$。
Near horizon symmetry and entropy of black holes in $f(R)$ gravity and conformal gravity
将Majhi和Padmanabhan最近提出的Noether流方法推广到$f(R)$引力和共形引力模型，并分析了这两种模型中黑洞的近视界对称性。结果表明，由Cardy公式得到的熵与Wald熵一致.
Instability of a Kerr black hole in f(R) gravity
研究了在可行$f(R)$引力场中旋转（Kerr）黑洞的稳定性.线性化Ricci标量方程表现出超辐射不稳定性，导致了$f(R)$引力场中Kerr黑洞的不稳定性.
Gregory-Laflamme instability of BTZ black hole in new massive gravity
在新的大质量引力下，我们发现了非旋转BTZ黑洞的Gregory-Laflamme $s$模不稳定性.这种不稳定性表明BTZ黑洞不可能作为新的大质量引力的稳定静态解而存在。然而，对于四维空间中不旋转的BTZ黑弦，我们证明了BTZ黑弦在度规扰动下是稳定的。
Lifshitz black holes in the Hořava-Lifshitz gravity
通过与三维新质量引力下的Lifshitz黑洞的比较，研究了Hoenava-Lifshitz引力下的Lifshitz黑洞.我们注意到，这些解决方案都有单一的视野。这些黑洞在研究它们的热力学时彼此非常相似。结果表明，在$z=3,2$ Lifshitz黑洞和$z=1$ Hoenava黑洞之间不可能发生二阶相变.
Charged Rotating Black Holes in 5d Einstein-Maxwell-(A)dS Gravity
我们得到了具有宇宙学常数的Einstein-Maxwell引力理论在五维空间中的带电旋转黑洞解。这些黑洞的一些物理性质进行了讨论。
Black Hole Thermodynamics and Two-Dimensional Dilaton Gravity Theory
将近视界区的各种黑洞解与二维玻色子引力理论中的黑洞解联系起来，证明了D>=4的黑洞的热力学可以用二维玻色子引力理论中的黑洞的热力学有效地描述.我们证明了在任意时空维中，具有任意耦合参数的单电荷双介子黑洞和双介子p膜的Bekenstein-Hawking熵可以精确地由二维黑洞的Bekenstein-Hawking熵在相应的二维双介子引力模型中再现.本文指出，在二维引力理论中，具有常数场的黑洞解的热力学可以有效地描述非极端弦四维四荷黑洞和五维三荷黑洞的热力学.
Motivated by the wide applications of BTZ black holes and interesting results of gravity's rainbow, we consider three dimensional rainbow solutions and investigate their thermodynamic properties. In addition to investigate black holes thermodynamics related to AdS/CFT correspondence, one may regard gravity's rainbow to to encode quantum gravity effects into the black hole solutions. We take into account the various models of linear and nonlinear electrodynamics and study their effects on the gravity's rainbow spacetime. We also examine thermal stability and find that obtained three dimensional…
We perform the stability analysis of Schwarzschild-AdS (SAdS) black hole in the Einstein-Ricci cubic gravity. It shows that the Ricci tensor perturbations exhibit unstable modes for small black holes. We call this the mass-induced instability of SAdS black hole because the instability of small black holes arises from the massiveness in the linearized Einstein-Ricci cubic gravity, but not a feature of higher-order derivative theory giving ghost states. Also, we point out that the correlated stability conjecture holds for the SAdS black hole by computing the Wald entropy of SAdS black hole in Ei…
Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
在本文中，我们考虑爱因斯坦引力存在的一类非线性电动力学，称为功率麦克斯韦不变量（PMI）。在Einstein-PMI引力中考虑了$(2+1)$维时空，得到了它的黑洞解.然后，我们考虑纯$F(R)$引力和$F(R)$ -共形不变Maxwell理论，得到了场方程的精确解和黑洞解释。最后，我们研究了这些引力模型的守恒量和热力学量，并讨论了热力学热力学第一定律。
Static spacetimes with/without black holes in dynamical Chern-Simons gravity
我们证明了静态渐近平坦的黑洞时空在动力学Chern-Simons引力下是唯一的Schwarzschild时空。此外，我们证明了严格静态时空应该是闵可夫斯基时空。
The zeroth law of black hole mechanics is an assertion of constancy of the surface gravity on a stationary Killing horizon. The Hawking temperature of the black hole horizon is proportional to the surface gravity. Therefore, the constancy of the surface gravity is reminiscent of the zeroth law of ordinary thermodynamics. In this work, we provide a proof of the zeroth law in Lanczos-Lovelock theories of gravity, where the Einstein Hilbert action is supplemented by higher curvature terms.
Stars and Black Holes in Massive Gravity
一般来说，大质量引力在恒星周围产生非唯一的引力场。对于一类特殊的大质量引力理论，我们证明了恒星的引力场是唯一的，并且是观测上可接受的，即接近于爱因斯坦引力场。在这一系列的理论中的黑洞解也进行了研究，并表明是奇特的。黑洞有一个近视界的喉道，曲率在视界处发散。我们证明了在视界非奇异的黑洞中存在一个大质量引力理论的子族。
Thermodynamics of Extended Gravity Black Holes
研究扩展重力静态球对称黑洞解的热力学。利用从运动方程导出的克劳修斯关系，用Wald方法计算黑洞熵，并计算相应的Hawking温度，讨论了能量问题。
Loop quantum gravity and black hole singularity
在本文中，我们总结了“圈量子引力”（LQG），并展示了LQG中发展的思想如何应用于迷你超空间模型来解决黑洞奇异性问题。
We obtain a charged accelerating AdS black hole solution in $f(R)$ gravity and investigate its thermodynamic behaviour. We consider low-acceleration black holes that do not have an acceleration horizon and obtain the first law of thermodynamics for them. We further study the parameter space of charged slowly accelerating $f(R)$ AdS black holes before investigating the behaviour of the free energy in both the canonical and grand canonical ensembles. We find a generalization of the reverse isoperimetric inequality, applicable to black holes in $f(R)$ gravity, that indicates these black holes can…
Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet Gravity and Dilaton Gravity
在球形AdS黑洞和热AdS空间之间存在Hawking-Page相变。在Poincare坐标系中，视界为Ricci平坦空间的Ricci平坦AdS黑洞与热AdS空间之间不发生相变.然而，如果Ricci平坦黑洞的视界坐标中至少有一个是紧致的，那么在Ricci平坦AdS黑洞和AdS孤子之间会发生Hawking-Page相变.我们在Gauss-Bonnet引力和Liouville型势下的Ricci平坦黑洞和变形AdS孤子之间发现了类似的相变，其中包含了II型超引力中DP膜的球形约化所产生的规范超引力.与爱因斯坦引力相反，我们发现高温相可以由黑洞或变形的AdS孤子取决于参数。
Spatially homogeneous Lifshitz black holes in five dimensional higher derivative gravity
我们考虑空间齐次的Lifshitz黑洞解在五维高导数引力理论，这可能是一些系统，是有趣的规范/引力对偶框架的近视界几何。我们给出了纯R^2引力中属于9个Bianchi类的解。我们发现这些黑洞在非零温度下的熵为零，并且在临界点处的熵与新质量引力下的BTZ黑洞的熵相同。在最一般的二次曲率引力理论中，我们在Bianchi I型和IX型情况下找到了新的解。
Motivated by recent developments in black hole thermodynamics, we investigate van der Waals phase transitions of charged black holes in massive gravity. We find that massive gravity theories can exhibit strikingly different thermodynamic behaviour compared to that of Einstein gravity, and that the mass of the graviton can generate a range of new phase transitions for topological black holes that are otherwise forbidden.
Black holes with a null Killing vector in three-dimensional massive gravity
本文研究了具有两个交换Killing矢量且其中一个为零的新质量引力的解，特别着重于黑洞解。除了极端的BTZ黑洞和，对于一个特殊的耦合常数值，无质量零扭曲黑洞，我们还得到了一个家庭的临界耦合的大质量“日志”黑洞。在对数引力的意义下，这些是极限BTZ黑洞的渐近解。
Uniqueness Theorem for Stationary Axisymmetric Black Holes in Einstein-Maxwell-axion-dilaton Gravity
本文证明了在Einstein-Maxwell-axion-dronon引力下的稳态轴对称黑洞解的唯一性定理是杂化弦论的低能极限。我们考虑非退化和极值Kerr-Sen黑洞解。
Phase transition for black holes with scalar hair and topological black holes
研究了渐近反德西特时空中具有标量头发的黑洞与拓扑黑洞之间的相变。作为基态解，我们引入了三维无旋BTZ黑洞和四维双曲视界拓扑黑洞。仅在温度匹配的情况下，利用两个黑洞的自由能之差证明了具有标量头发的黑洞（Martinez-Troncoso-Zanelli黑洞）与拓扑黑洞之间的相变是二阶的.然而，我们没有确定在三维空间中标量和非旋转BTZ黑洞之间的相变发生的顺序，尽管存在标量黑洞衰变为非旋转BTZ黑洞的可能性。
We discuss stability issues of Schwarzschild black hole in non-local gravity. It is shown that the stability analysis of black hole for the unitary and renormalizable non-local gravity with $γ_2=-2γ_0$ cannot be performed in the Lichnerowicz operator approach. On the other hand, for the unitary and non-renormalizable case with $γ_2=0$, the black hole is stable against the metric perturbations. For non-unitary and renormalizable local gravity with $γ_2=-2γ_0={\rm const}$ (fourth-order gravity), the small black holes are unstable against the metric perturbations. This implies that what makes the…
The universal thermodynamic relations between corrections to entropy and extremality for various black holes solutions have been studied. In this regard, we hereby consider a number of different black brane solutions in different structures for perturbative corrections to general relativity. These are, namely, black brane solution in Rastall AdS massive gravity, Einstein-Yang-Mills AdS black brane solution in massive gravity and general anisotropic black brane in Horava-Lifshitz gravity. We calculate both the entropy and extremality bound by introducing a small constant correction to the actio…
Stability of black holes in f(R) gravity
我们研究了黑洞在$f(R)=R+R^2$引力的可行模型中的稳定性。其中包括史瓦西和克尔黑洞。我们没有研究黑洞背景下的四阶线性化方程，而是利用Starobinsky模型的相应张量-标量理论来研究它们的稳定性。史瓦西黑洞是稳定的，而克尔黑洞是不稳定的，因为超辐射不稳定。
The absence of the Kerr black hole in the Hořava-Lifshitz gravity
我们证明了在$Λ_W=0$和$λ=1$的情形下，Kerr度规不存在作为修正的Hoenava-Lifshitz（HL）引力的完全旋转黑洞解.我们执行它表明，克尔度规不满足来自修改后的HL重力完整的方程。
In this work, a correspondence between black hole solutions of conformal and massive theories of gravity is found. It is seen that this correspondence imposes some constraints on parameters of these theories. What is more, a relation between the mass of black holes and the parameters of massive gravity is found. Indeed, the acceptable ranges of massive gravity parameters ($c_{1}$\ and $c_{2}$) are found. It is shown that by considering the positive mass of black holes, some ranges of $c_{1}$\ and $c_{2}$ are acceptable.
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