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Combining with the small-large black hole phase transition, the thermodynamic geometry has been well applied to study the microstructure for the charged AdS black hole. In this paper, we extend the geometric approach to the rotating…

General Relativity and Quantum Cosmology · Physics 2021-12-06 Shao-Wen Wei , Yu-Xiao Liu

It is known that the radial equation of the massless fields with spin around Kerr black holes cannot be solved by special functions. Recently, the analytic solution was obtained by use of the expansion in terms of the special functions and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Takahiro Masuda , Hisao Suzuki

It is recently conjectured that generic non-extremal Kerr black hole could be holographically dual to a hidden conformal field theory in two dimensions. Moreover, it is known that there are two CFT duals (pictures) to describe the charged…

High Energy Physics - Theory · Physics 2015-06-05 A. M. Ghezelbash , H. M. Siahaan

We study the statistical mechanics for quantum scalar fields under the multi-parameter rotating black hole spacetime in arbitrary D dimensions. The method of analysis is general in the sense that the metric does not depend on the explicit…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Masakatsu Kenmoku , Yuki Kobayashi

It is shown that $AdS_4$ Kerr black hole is a solution of simple unfolded differential equations that form a deformation of the zero-curvature description of empty $AdS_4$ space-time. Our construction uses the Killing symmetries of the Kerr…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. E. Didenko , A. S. Matveev , M. A. Vasiliev

It is now widely accepted that the universe as we understand it is accelerating in expansion and fits the de Sitter model rather well. As such, a realistic assumption of black holes must place them on a de Sitter background and not…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Sarp Akcay , Richard Matzner

A 5-parametric exact solution, describing a binary system composed of identical counter-rotating black holes endowed with opposite electromagnetic charges, is constructed. The addition of the angular momentum parameter to the static…

General Relativity and Quantum Cosmology · Physics 2014-07-10 I. Cabrera-Munguia , Claus Lämmerzahl , L. A. López , Alfredo Macías

By using the ultra-spinning limit as a generating solution technique, we construct a novel class of charged rotating asymptotic AdS black holes. That describes the exact D-dimnsioanl solutions of Einstein-Maxwell dilaton theory in the…

High Energy Physics - Theory · Physics 2017-11-21 S. M. Noorbakhsh , M. Ghominejad

In the Kerr-Schild double copy, static and spherically symmetric black hole solutions of general relativity are mapped to purely electric solutions of Maxwell's theory in flat spacetime. We demonstrate that, for these configurations, the…

High Energy Physics - Theory · Physics 2026-05-25 Gokhan Alkac

We derive a generalized Euler equation, $\epsilon+p=sT+\mu q+y\frac{\partial p}{\partial y}$, using the effective field theory formulation of perfect fluids. This generalization was achieved by introducing a new variable $y$ into the…

High Energy Physics - Theory · Physics 2025-11-13 Robinson Mancilla

Using the Wald formalism, we investigate the thermodynamics of charged black holes in D-dimensional stationary spacetimes with or without rotations in Einstein-\ae ther-Maxwell theory. In particular, assuming the existence of a scaling…

General Relativity and Quantum Cosmology · Physics 2018-06-29 Fei-hung Ho , Shao-Jun Zhang , Hai-Shan Liu , Anzhong Wang

Generic scalar perturbations on a fixed slowly rotating Kerr-AdS black hole background exhibit stable trapping, that is, the scalar field remains in a region between the exterior of the black hole and the AdS boundary for a very long time,…

High Energy Physics - Theory · Physics 2025-09-18 Pau Figueras , Lorenzo Rossi

Recently it has been shown that there is asymptotic BMS-like symmetry associated with the near-horizon geometry of black holes in three and four dimensions. In this paper, we show that the presence of such BMS-like symmetry is a ubiquitous…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Changfu Shi , Jianwei Mei

We construct, in even spacetime dimensions, a family of singularity-free Kerr-Anti-de Sitter-like black holes with negatively curved cross-sections of conformal infinity and non-spherical cross-sections of horizons.

General Relativity and Quantum Cosmology · Physics 2026-01-28 Piotr T. Chruściel , Wan Cong , Finnian Gray

We construct Komar-type integrals for theories of gravity of higher order in the Riemann curvature coupled to simple kinds of matter (scalar and vector fields) and we use them to compute Smarr formulae for black-hole solutions in those…

General Relativity and Quantum Cosmology · Physics 2021-09-01 T. Ortín

The present paper clarifies how to consistently take into account the contribution of magnetic charges in the generalized Smarr mass formula by using properly the Tomimatsu's representation of Komar integrals. It is shown in particular that…

General Relativity and Quantum Cosmology · Physics 2019-04-10 V. S. Manko , H. García-Compeán

In an (Anti-) de Sitter space and a charged black hole the Schwinger effect is either enhanced by the Hawking radiation or suppressed by the negative curvature. We use the contour integral method to calculate the production of charged pairs…

High Energy Physics - Theory · Physics 2016-03-16 Sang Pyo Kim

We construct the generalized Komar charge of generic, non-linear theories of electrodynamics (NLED) in 4 dimensions coupled to Einstein gravity. The contribution of the dimensionful coupling constant present in all these theories is…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Gabriele Barbagallo , Tomás Ortín

In this study, we investigate rotating black hole solutions within a scalar Gauss-Bonnet gravity framework that incorporates a squared Gauss-Bonnet term. By employing a quadratic exponential coupling function between the scalar field and…

General Relativity and Quantum Cosmology · Physics 2025-08-14 Shoupan Liu , Yunqi Liu , Yan Peng , Cheng-Yong Zhang

We study the shear viscosity to entropy ratio $\eta/S$ in the boundary field theories dual to black hole backgrounds in theories of gravity coupled to a scalar field, and generalisations including a Maxwell field and non-minimal scalar…

High Energy Physics - Theory · Physics 2015-09-23 Hai-Shan Liu , H. Lu , C. N. Pope