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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

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

Extensions of Einstein gravity with higher-order derivative terms arise in string theory and other effective theories, as well as being of interest in their own right. In this paper we study static black-hole solutions in the example of…

High Energy Physics - Theory · Physics 2015-05-06 H. Lu , A. Perkins , C. N. Pope , K. S. Stelle

In an effective theory of gravity, thermodynamic quantities of black holes receive corrections from the infinite series of higher derivative terms. At the next to leading order, these can be obtained by using only the leading order…

High Energy Physics - Theory · Physics 2023-06-27 Liang Ma , Yi Pang , H. Lu

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 study the general black hole solutions of dimensionally reduced five-dimensional Einstein-Gauss-Bonnet gravity. The reduced theory contains gravity, electromagnetism and a scalar field, with nonlinear corrections to the action and…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Z. Belkhadria , S. Mignemi , F. Paderi

Computing the 4D Euclidean path integral to one-loop order we find the large quantum corrections that govern the behavior of a spherically symmetric non-supersymmetric near-extremal black hole at very low temperature. These corrections…

High Energy Physics - Theory · Physics 2023-07-26 Nabamita Banerjee , Muktajyoti Saha

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 consider Einstein gravity coupled to a vector field, either minimally or non-minimally, together with a vector potential of the type $V=2\Lambda_0+\ft 12 m^2 A^2+\gamma_4 A^4$. For a simpler non-minimally coupled theory…

High Energy Physics - Theory · Physics 2016-10-12 Zhong-Ying Fan

Lovelock theory provides a tractable model of higher-curvature gravity in which several questions can be studied analytically. This is the reason why, in the last years, this theory has become the favorite arena to study the effects of…

High Energy Physics - Theory · Physics 2016-07-20 Mariano Chernicoff , Mario Galante , Gaston Giribet , Andres Goya , Matias Leoni , Julio Oliva , Guillem Perez-Nadal

The connection between bulk and boundary thermodynamics in Einstein-Maxwell theory is well established using AdS/CFT correspondence. In the context of general higher derivative gravity coupled to a U(1) gauge field, we examine the…

High Energy Physics - Theory · Physics 2024-05-08 Gurmeet Singh Punia

Instead of the much more involved covariant counterterm method, we apply the well justified background subtraction method to calculate the first order corrections to Kerr-AdS black hole thermodynamics induced by the higher derivative terms…

High Energy Physics - Theory · Physics 2025-12-19 Wei Guo , Xiyao Guo , Xin Lan , Hongbao Zhang , Wei Zhang

The theory of general relativity is often considered under the framework of modified Einstein gravity to explain different phenomena under strong curvature. The strong curvature effect plays a main role near black holes, where the…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Mriganka Dutta , Banibrata Mukhopadhyay

Under the premise that quantum gravity becomes non-negligible, higher-order corrections of non-commutative geometry dominate. In this paper, we studied the thermodynamics of high-order corrections for Schwarzschild-AdS black hole with…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Baoyu Tan

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 analyze the thermodynamical properties of black holes in a modified theory of gravity, which was initially proposed to obtain correct dynamics of galaxies and galaxy clusters without dark matter. The thermodynamics of non-rotating and…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Jonas R. Mureika , John W. Moffat , Mir Faizal

This work addresses spherically symmetric, static black holes in higher-derivative stringy gravity. We focus on the curvature-squared correction to the Einstein-Hilbert action, present in both heterotic and bosonic string theory. The string…

High Energy Physics - Theory · Physics 2008-11-26 Filipe Moura , Ricardo Schiappa

Perturbative corrections to General Relativity alter the expressions for both the entropy of black holes and their extremality bounds. We prove a universal relation between the leading corrections to these quantities. The derivation is…

High Energy Physics - Theory · Physics 2020-03-18 Garrett Goon , Riccardo Penco

We extend the effective field theory treatment of the thermodynamics of small compactified black holes to the case of charged black holes. The relevant thermodynamic quantities are computed to second order in the parameter…

High Energy Physics - Theory · Physics 2011-03-07 James B. Gilmore , Andreas Ross , Michael Smolkin

Near-extremal black holes are subject to large quantum effects, which modify their low-temperature thermodynamic behavior. Hitherto, these quantum effects were analyzed by separating the geometry into the near-horizon region and its…

High Energy Physics - Theory · Physics 2025-10-06 Maciej Kolanowski , Donald Marolf , Ilija Rakic , Mukund Rangamani , Gustavo J. Turiaci
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