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We study the thermodynamics and the thermodynamic geometries of charged rotating BTZ (CR-BTZ) black holes in (2+1)-gravity. We investigate the thermodynamics of these systems within the context of the Weinhold and Ruppeiner thermodynamic…

General Relativity and Quantum Cosmology · Physics 2015-03-17 M. Akbar , H. Quevedo , K. Saifullah , A. Sanchez , S. Taj

Kerr-Vaidya metrics are the simplest nonstationary extensions of the Kerr metric. We explore their properties and compare them with the near-horizon limits of the spherically symmetric self-consistent solutions (the ingoing Vaidya metric…

General Relativity and Quantum Cosmology · Physics 2020-12-17 Pravin Kumar Dahal , Daniel R. Terno

A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is applied to the…

High Energy Physics - Theory · Physics 2010-05-19 Yu Tian , Xiaoning Wu

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 this paper, we show the relation between the thermodynamic geometry of a four-dimensional Reissner-Nordstrom-AdS (RN-AdS) black hole and non-local observables in boundary field theory. Instead of introducing the critical point…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Chao Wang , Bin Wu , Zhen Ming Xu , Wen Li Yang

The conformal thermodynamics of rotating charged black holes in general relativity and string theory is proposed by considering the first laws of thermodynamics for a pair of systems made up of the two horizons of a Kerr-Newman or Kerr-Sen…

High Energy Physics - Theory · Physics 2007-05-23 Shuang-Qing Wu

Static black holes in the conformal anomaly-sourced semi-classical General Relativity in four dimensions were extended to rotating, stationary solutions, recently. These quantum-corrected black holes show different features compared to the…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Metin Gurses , Bayram Tekin

Multi-spinning higher dimensional Kerr-AdS black holes admit the stable small-large black hole phase transition of van der Waals type. In this paper, we study the exact critical phenomena and phase structure in five-dimensional spacetime.…

General Relativity and Quantum Cosmology · Physics 2019-09-27 Shao-Wen Wei , Yu-Xiao Liu

We give a brief survey of thermodynamic metrics, in particular the Hessian of the entropy function, and how they apply to black hole thermodynamics. We then provide a detailed discussion of the Gibbs surface of Kerr black holes. In…

General Relativity and Quantum Cosmology · Physics 2015-10-30 Jan Åman , Ingemar Bengtsson , Narit Pidokrajt

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

The four-dimensional Kerr-de Sitter and Kerr-AdS black hole metrics have cohomogeneity 2, and they admit a generalisation in which an additional parameter characterising a NUT charge is included. In this paper, we study the…

High Energy Physics - Theory · Physics 2008-11-26 W. Chen , H. Lu , C. N. Pope

The full metric describing two counter-rotating identical Kerr black holes separated by a massless strut is derived in the explicit analytical form. It contains three arbitrary parameters which are the Komar mass M, Komar angular momentum…

General Relativity and Quantum Cosmology · Physics 2008-12-30 V. S. Manko , E. D. Rodchenko , E. Ruiz , B. I. Sadovnikov

While the quasi-local thermodynamics of spherically symmetric black holes is well described by pressure and volume, extending this framework to rotating spacetimes poses a significant challenge. Rotation induces an oblate deformation of the…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Thiago Campos

Under the framework of thermodynamics, the phase transition of the black hole is a general issue in general relativity. In this work, the phase transition of charged black holes is discussed carefully. The metric tensor of thermodynamics is…

General Physics · Physics 2024-05-09 Bobin Li

We use the conditional symmetry approach to study the $r$-evolution of a minisuperspace spherically symmetric model both at the classical and quantum level. After integration of the coordinates $t$, $\theta$ and $\phi$ in the gravitational…

General Relativity and Quantum Cosmology · Physics 2015-06-17 T. Christodoulakis , N. Dimakis , Petros A. Terzis , Babak Vakili , E. Melas , Th. Grammenos

In this work, we explore black hole and regular black hole solutions in the recently proposed Conformal Killing Gravity (CKG). This theory is of third order in the derivatives of the metric tensor and essentially satisfies three theoretical…

General Relativity and Quantum Cosmology · Physics 2024-02-07 José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues

In this paper, we investigate the thermodynamic properties of spherically symmetric, static black hole solutions within the framework of Conformal Killing Gravity (CKG). This is a modified theory of gravity that retains all solutions of…

General Relativity and Quantum Cosmology · Physics 2025-08-19 S. Ghaffari , G. G. Luciano

We propose a quantum model of spinning black holes with the integrable ring singularities. For the charged Kerr-Newman quantum metric, the complete regularization takes place at fixing of the maximal (cut-off) energy of gravitons,…

General Relativity and Quantum Cosmology · Physics 2024-02-26 V. P. Neznamov , S. Yu. Sedov , V. E. Shemarulin

We study thermodynamic geometry of certain black holes and black branes with and without generalized uncertainty principle or stringy $ \alpha^{\prime} $-corrections to the entropy. From this perspective, we analyze Ruppenier geometry of…

High Energy Physics - Theory · Physics 2011-08-24 Bhupendra Nath Tiwari

We study thermodynamic properties of Myers-Perry black holes by deriving explicit fundamental relations from which we can obtain the temperature and specific heat in terms of explicit control parameters in arbitrary dimensions. Using the…

High Energy Physics - Theory · Physics 2010-05-03 Jan E. Aman , Narit Pidokrajt
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