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When higher-derivative terms are added to a gravitational action, black hole solutions and their thermodynamic properties are generally corrected. Recent progress has shown that, by treating higher-derivative operators as perturbations, the…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Aonan Zhang , Qiang Wang , Yong Xiao

We present a new class of asymptotically flat charge static solutions in third order Lovelock gravity. These solutions present black hole solutions with two inner and outer event horizons, extreme black holes or naked singularities provided…

High Energy Physics - Theory · Physics 2009-11-11 M. H. Dehghani , M. Shamirzaie

We derive a new analytic solution of $(n+1)$-dimensional Brans-Dikce-Maxwell theory in the presence of a potential for the scalar field, by applying a conformal transformation to the dilaton gravity theory. These solutions describe…

High Energy Physics - Theory · Physics 2009-12-04 A. Sheykhi , H. Alavirad

We study Einstein-Maxwell theory in $D \geq 3$ spacetime dimensions including all Lorentz-invariant parity-even four-derivative couplings. Building on the results of arXiv:2312.11610, we consider static, charged, asymptotically flat black…

High Energy Physics - Theory · Physics 2025-10-20 Kiril Hristov , Peng-Ju Hu , Yi Pang

In this paper, we present topological black holes of third order Lovelock gravity in the presence of cosmological constant and nonlinear electromagnetic Born-Infeld field. Depending on the metric parameters, these solutions may be…

High Energy Physics - Theory · Physics 2008-11-26 M. H. Dehghani , N. Alinejadi , S. H. Hendi

In this paper, we establish a universal equality governing Euclidean integrals of gravitational actions in higher-derivative theories. This relation is shown to hold universally for asymptotically flat black holes in pure gravity, and is…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Yong Xiao , Qiang Wang , Aonan Zhang

We propose to work on the Euclidean black hole solution with a corner rather than with the prevalent conical singularity. As a result, we find that the Wald formula for black hole entropy can be readily obtained for generic $F(R_{abcd})$…

High Energy Physics - Theory · Physics 2026-04-13 Gerui Chen , Wei Guo , Xin Lan , Hongbao Zhang , Wei Zhang

In modified theories of gravity, higher curvature terms may be added to the Einstein-Hilbert action. Conventionally, the effects of the higher curvature terms on the black hole thermodynamics are rather difficult to obtain. In this paper,…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Yong Xiao

We study the thermodynamical properties of electrically charged black hole solutions of a nonlinear electrodynamics theory defined by a power p of the Maxwell invariant, which is coupled to Einstein gravity in four and higher spacetime…

High Energy Physics - Theory · Physics 2013-05-29 Hernan A. Gonzalez , Mokhtar Hassaine , Cristian Martinez

In an effective field theory approach to gravity, the Einstein-Hilbert action is supplemented by higher derivative terms. In the absence of matter, four derivative terms can be eliminated by a field redefinition. We use the Euclidean action…

High Energy Physics - Theory · Physics 2019-09-26 Harvey S. Reall , Jorge E. Santos

We construct a new class of $(n+1)$-dimensional $(n\geq3)$ black hole solutions in Einstein-Born-Infeld-dilaton gravity with Liouville-type potential for the dilaton field and investigate their properties. These solutions are neither…

High Energy Physics - Theory · Physics 2008-11-26 A. Sheykhi , N. Riazi

We obtain topological black hole solutions in scalar-tensor gravity with nonminimal derivative coupling between scalar and tensor components of gravity and power-law Maxwell field minimally coupled to gravity. The obtained solutions can be…

High Energy Physics - Theory · Physics 2019-02-20 M. M. Stetsko

The inclusion of higher derivative terms in the gravitational action brings about corrections to the original forms of black hole solutions and thermodynamics. A simple and valuable approach has emerged over two decades ago, which states…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Yong Xiao , Yue-Ying Liu

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

A comprehensive treatment of black hole thermodynamics in two-dimensional dilaton gravity is presented. We derive an improved action for these theories and construct the Euclidean path integral. An essentially unique boundary counterterm…

High Energy Physics - Theory · Physics 2010-10-27 Daniel Grumiller , Robert McNees

In this paper, we construct a class of (n+1)-dimensional $(n\geq4)$ slowly rotating black hole solutions in Brans-Dicke-Maxwell theory with a quadratic potential. These solutions can represent black holes with inner and outer event…

High Energy Physics - Theory · Physics 2010-07-20 H. Alavirad

We derive exact, asymptotically flat black hole solutions of Einstein-scalar gravity sourced by a non trivial scalar field with $1/r$ asymptotic behaviour. They are determined using an ansatz for the scalar field profile and working out,…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Mariano Cadoni , Edgardo Franzin

We consider diffeomorphism invariant theories of gravity with arbitrary higher derivative terms in the Lagrangian as corrections to the leading two derivative theory of Einstein's general relativity. We construct a proof of the zeroth law…

High Energy Physics - Theory · Physics 2022-10-18 Sayantani Bhattacharyya , Parthajit Biswas , Anirban Dinda , Nilay Kundu

Motivated by the string corrections on the gravity and electrodynamics sides, we consider a quadratic Maxwell invariant term as a correction of the Maxwell Lagrangian to obtain exact solutions of higher dimensional topological black holes…

General Relativity and Quantum Cosmology · Physics 2015-06-23 S. H. Hendi , S. Panahiyan

We obtain a slowly rotating black hole solution in the scalar-tensor theory of gravity with nonminimal derivative coupling to the Einstein tensor. Properties of the obtained solution have been examined carefully. We also investigate the…

High Energy Physics - Theory · Physics 2018-11-14 M. M. Stetsko
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