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According to current theory a black hole has a nonzero temperature and thus radiates like any black body. This remarkable result was first shown by Hawking for a non-spinning black hole using general relativity to describe the black hole…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Ronald J. Adler

Generalized Painleve-Gullstrand metrics are explicitly constructed for the Kerr-Newman family of charged rotating black holes. These descriptions are free of all coordinate singularities; moreover, unlike the Doran and other proposed…

General Relativity and Quantum Cosmology · Physics 2013-01-15 Huei-Chen Lin , Chopin Soo

In the standard viewpoint, the temperature of a stationary black hole is proportional to its surface gravity, $T_H=\hbar\kappa/2\pi$. This is a semiclassical result and the quantum gravity effects are not taken into consideration. This…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Li Xiang , X. Q. Wen

We specify an angular motion on geodesics to reduce the problem to the case of radial motion elaborated in previous chapters. An appropriate value of entropy for a charged and rotating black hole is obtained by calculating the partition…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. V. Kiselev

Causal radial geodesics with a positive interval in the Schwarzschild metric include a subset of trajectories completely confined under a horizon, which compose a thermal statistical ensemble with the Hawking-Gibbons temperature. The…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. V. Kiselev

We investigate the hidden conformal symmetry of the 4-dimensional non-extremal Kerr-Newman (KN) black hole with the idea of the near-region Kerr/CFT correspondence proposed by Castro, Maloney and Strominger in arXiv:1004.0996[hep-th]. The…

High Energy Physics - Theory · Physics 2014-11-20 Yong-Qiang Wang , Yu-Xiao Liu

We obtain exact Bardeen black holes to the regularized $4D$ Einstein--Gauss--Bonnet (EGB) gravity minimally coupled with the nonlinear electrodynamics (NED). In turn, we analyze the horizon structure to determine the effect of GB parameter…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Arun Kumar , Rahul Kumar Walia , Sushant G. Ghosh

In general, the field equation of $f(R)$ gravitational theory is very intricate, and therefore, it is not an easy task to derive analytical solutions. We consider rotating black hole spacetime four-dimensional in the $f(R)$ gravitational…

General Relativity and Quantum Cosmology · Physics 2023-06-14 G. L. N. Nashed , Shin'ichi Nojiri

The gravitational deflection of light signals restricted in the polar-axis plane of a moving Kerr-Newman (KN) black hole with a constant velocity along the polar axis is studied within the second post-Minkowskian (PM) approximation. For…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Xuan Wang , Wenbin Lin , Bo Yang , Guansheng He

Recently the difference between the Gibbons-Hawking temperature $T_{\rm GH}$ attributed to the Hawking radiation from the de Sitter cosmological horizon and the twice as high local temperature of the de Sitter state, $T=H/\pi=2T_{\rm GH}$,…

General Relativity and Quantum Cosmology · Physics 2025-07-15 G. E. Volovik

The Einstein field equations have no known and acceptable interior solution that can be matched to an exterior Kerr field. In particular, there are no interior solutions that could represent objects like the Earth or other rigidly rotating…

General Relativity and Quantum Cosmology · Physics 2014-05-08 Gerald E. Marsh

Charged, rotating Kerr-Newman black holes represent the most general class of asymptotically flat black hole solutions to the Einstein-Maxwell equations of general relativity. Here, we consider a simplified model for the Hawking radiation…

General Relativity and Quantum Cosmology · Physics 2021-01-15 Joshua Foo , Michael R. R. Good

I rederive the Kerr/CFT correspondence without first taking the near-horizon extremal Kerr limit. This method extends easily to nonextremal black holes, for which the temperature and central charge behave poorly at the horizon but the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 S. Carlip

We calculate the linear vacuum perturbations of a Kerr black hole surrounded by a slowly-varying external spacetime to third order in the ratio of the black-hole mass to the radius of curvature of the external spacetime. This expansion…

General Relativity and Quantum Cosmology · Physics 2013-02-13 Katerina Chatziioannou , Eric Poisson , Nicolas Yunes

We investigate the Hawking radiation of 3+1 and 4+1 dimensional black holes in the $z = 4$ Horava-Lifshitz gravity with fermion tunnelling. It turns out that the Hawking temperatures are recovered and are in consistence with those obtained…

General Relativity and Quantum Cosmology · Physics 2010-02-11 De-You Chen , Haitang Yang , Xiao-Tao Zu

In this paper, we have computed the logarithmic corrections of entropy for the near-extremal Kerr-Newman black holes in $\mathcal{N}=2$ supergravity theory applying the Euclidean path integral approach in the near-horizon geometry. In the…

High Energy Physics - Theory · Physics 2025-02-26 Ashes Modak , Aditya Singh , Binata Panda

Using the null-geodesic tunneling method of Parikh and Wilczek, we derive the Hawking temperature of a general four-dimensional rotating black hole. In order to eliminate the motion of $\phi$ degree of freedom of a tunneling particle, we…

High Energy Physics - Theory · Physics 2010-11-23 Zheng Ze Ma

We discuss the Hawking temperature of near-equilibrium black holes using a semiclassical analysis. We introduce a useful expansion method for slowly evolving spacetime, and evaluate the Bogoliubov coefficients using the saddle point…

High Energy Physics - Theory · Physics 2012-01-31 Shunichiro Kinoshita , Norihiro Tanahashi

We study the possible existence of black holes in scalar-tensor theories of gravity in four dimensions. Their existence is verified for anomalous versions of these theories, with a negative kinetic term in the Lagrangian. The Hawking…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , C. P. Constantinidis , R. L. Evangelista , J. C. Fabris

We present the analytical solutions for the trajectories of particles that spiral and plunge inward the event horizon along the timelike geodesics following general non-equatorial paths within Kerr-Newman spacetimes. Our studies encompass…

General Relativity and Quantum Cosmology · Physics 2024-04-30 Yu-Chung Ko , Da-Shin Lee , Chi-Yong Lin