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We examine four dimensional magnetically charged extremal black holes in certain non-linear U(1) gauge theories coupled to two derivative gravity. For a given coupling, one can tune the magnetic charge (or vice versa) so that the curvature…

High Energy Physics - Theory · Physics 2007-11-22 Kevin Goldstein , Hossein Yavartanoo

A central issue in the thermodynamics of nonsingular black holes is the apparent violation of the first law. In this work, we use 2D dilaton gravity as a simple theoretical setting to study this issue. We systematically construct a broad…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Peng Yu , Yuan Zhong

The Hamiltonian approach to black hole entropy, recently proposed in the framework of Poincar\'e gauge theory, is extended by including the scalar matter. The improved approach is used to analyse asymptotic charges and entropy of a typical…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Milutin Blagojević , Branislav Cvetković

The first and second laws of black hole thermodynamics are verified to emerge from a generic semiclassical theory of gravity for which a Hamiltonian can be defined. The first law is established for stationary spacetimes, and the second law…

General Relativity and Quantum Cosmology · Physics 2021-09-07 Bruno Arderucio-Costa

The thermodynamic properties of black holes have been extensively studied through analogies with classical systems, revealing fundamental connections between gravitation, entropy, and quantum mechanics. In this work, we extend the…

General Relativity and Quantum Cosmology · Physics 2026-02-26 S. D Campos

We obtain static and rotating electrically charged black holes of a Einstein-Maxwell-Dilaton theory of the Brans-Dicke type in (2+1)-dimensions. The theory is specified by three fields, the dilaton, the graviton and the electromagnetic…

High Energy Physics - Theory · Physics 2009-11-07 Oscar J. C. Dias , Jose' P. S. Lemos

We propose an expression for the entropy density associated with the Local Causal Horizons in any diffeomorphism invariant theory of gravity. If the black-hole entropy of the theory satisfies the physical process version of the first law of…

General Relativity and Quantum Cosmology · Physics 2013-07-26 Arif Mohd , Sudipta Sarkar

By consideration of a Einstein-dilaton non-linear charged gravitating system, it has been shown that this theory is confronted with the problem of indeterminacy. It means that the number of independent differential equations is one less…

General Relativity and Quantum Cosmology · Physics 2023-01-23 Mohsen Dehghani

We identify a set of higher-derivative extensions of Einstein-Maxwell theory that allow for spherically symmetric charged solutions characterized by a single metric function $f(r)=-g_{tt}=1/g_{rr}$. These theories are a non-minimally…

High Energy Physics - Theory · Physics 2021-04-26 Pablo A. Cano , Ángel Murcia

We extend the isolated horizon formalism to include rotating black holes arising in five dimensional Einstein-Gauss-Bonnet (EGB) theory of gravity, and derive the laws of black hole mechanics. This result allows us to show that the first…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Ayan Chatterjee , Sahil Devdutt , Avirup Ghosh

The first law of black hole thermodynamics is suitable for any diffeomorphism invariant gravity, and the entropy in the first law is the Wald entropy which is highly dependent on the non-minimal coupling interactions in the theory of…

General Relativity and Quantum Cosmology · Physics 2023-10-09 Xin-Yang Wang , Jie Jiang

Expanding the work of arXiv:1504.08040, we show that black holes obey a second law for linear perturbations to bifurcate Killing horizons, in any covariant higher curvature gravity coupled to scalar and vector fields. The vector fields do…

General Relativity and Quantum Cosmology · Physics 2025-04-28 Aron C. Wall , Zihan Yan

We derive the first law of black rings thermodynamics in n-dimensional Einstein dilaton gravity with additional (p+1)-form field strength being the simplest generalization of five-dimensional theory containing a stationary black ring…

High Energy Physics - Theory · Physics 2009-11-11 Marek Rogatko

We consider the most general higher order corrections to the pure gravity action in $D$ dimensions constructed from the basis of the curvature monomial invariants of order 4 and 6, and degree 2 and 3, respectively. Perturbatively solving…

High Energy Physics - Theory · Physics 2008-11-26 Jerzy Matyjasek , Malgorzata Telecka , Dariusz Tryniecki

In this paper, we investigate black-hole thermodynamics in the multi-fractional theory with $q$-derivatives, focusing on static, spherically symmetric vacuum solutions in the spherical-coordinate approximation. In the geometric frame the…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Reggie C. Pantig

Weyl transverse gravity is a gravitational theory that is invariant under transverse diffeomorphisms and Weyl transformations. It is characterised by having the same classical solutions as general relativity while solving some of its issues…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Ana Alonso-Serrano , Luis J. Garay , Marek Liška

We establish the physical process version of first law by studying small perturbations of a stationary black hole with regular bifurcation surface in Einstein-Gauss-Bonnet (EGB) gravity. Our result shows that when the stationary black hole…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Ayan Chatterjee , Sudipta Sarkar

In this work the algebra of charges of diffeomorphisms at the horizon of generic black holes is analyzed within first order gravity. This algebra reproduces the algebra of diffeomorphisms at the horizon, (Diff(S^1)), without central…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Rodrigo Aros

We examine the higher dimensional action in which gravity is coupled to the exponential nonlinear electrodynamic and a scalar dilaton field. We construct a new class of $n$-dimensional static and spherically symmetric black hole solutions…

General Relativity and Quantum Cosmology · Physics 2015-06-08 A. Sheykhi , A. Kazemi

We have extended the results of arXiv:1704.06076 upto second subleading order in an expansion around large dimension D. Unlike the previous case, there are non-trivial metric corrections at this order. Due to our `background-covariant'…

High Energy Physics - Theory · Physics 2018-11-14 Sayantani Bhattacharyya , Parthajit Biswas , Yogesh Dandekar