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In this review we summarize, expand, and set in context recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a…

High Energy Physics - Theory · Physics 2014-01-28 Natacha Altamirano , David Kubiznak , Robert B. Mann , Zeinab Sherkatghanad

The black hole butterfly effect is a signal of quantum chaos in holographic theories that can be probed in different ways, including out-of-time-order correlators (OTOCs), pole skipping (PS), and entanglement wedge (EW) reconstruction. Each…

High Energy Physics - Theory · Physics 2025-04-14 Wan Zhen Chua , Thomas Hartman , Wayne W. Weng

We prove the equivalence of two holographic computations of the butterfly velocity in higher-derivative theories with Lagrangian built from arbitrary contractions of curvature tensors. The butterfly velocity characterizes the speed at which…

High Energy Physics - Theory · Physics 2022-10-19 Xi Dong , Diandian Wang , Wayne W. Weng , Chih-Hung Wu

In this note we remark that the butterfly effect can be used to diagnose the phase transition of superconductivity in a holographic framework. Specifically, we compute the butterfly velocity in a charged black hole background as well as…

High Energy Physics - Theory · Physics 2017-03-20 Yi Ling , Peng Liu , Jian-Pin Wu

A definite form for the boundary term that produces the finiteness of both the conserved quantities and Euclidean action for any Lovelock gravity with AdS asymptotics is presented. This prescription merely tells even from odd bulk…

High Energy Physics - Theory · Physics 2009-04-03 Georgios Kofinas , Rodrigo Olea

We consider Einstein-Horndeski-Maxwell gravity, together with a cosmological constant and multiple Horndeski axions. We construct charged AdS planar black holes in general dimensions where the Horndeski anxions span over the planar…

High Energy Physics - Theory · Physics 2017-12-06 Xing-Hui Feng , Hai-Shan Liu , Wen-Tian Lu , H. Lu

We study butterfly effect in $D$-dimensional gravitational theories containing terms quadratic in Ricci scalar and Ricci tensor. One observes that due to higher order derivatives in the corresponding equations of motion there are two…

High Energy Physics - Theory · Physics 2016-11-23 Mohsen Alishahiha , Ali Davody , Ali Naseh , Seyed Farid Taghavi

A finite action principle for Einstein-Gauss-Bonnet AdS gravity is presented. The boundary term, which is different for even and odd dimensions, is a functional of the boundary metric, intrinsic curvature and extrinsic curvature. For even…

High Energy Physics - Theory · Physics 2009-11-11 Georgios Kofinas , Rodrigo Olea

In a theory where the cosmological constant $\Lambda$ or the gauge coupling constant $g$ arises as the vacuum expectation value, its variation should be included in the first law of thermodynamics for black holes. This becomes $dE= TdS +…

High Energy Physics - Theory · Physics 2011-08-09 M. Cvetic , G. W. Gibbons , D. Kubiznak , C. N. Pope

Many three-dimensional $\mathcal{N}=2$ SCFTs admit a universal partial topological twist when placed on hyperbolic Riemann surfaces. We exploit this fact to derive a universal formula which relates the planar limit of the topologically…

High Energy Physics - Theory · Physics 2018-04-19 Francesco Azzurli , Nikolay Bobev , P. Marcos Crichigno , Vincent S. Min , Alberto Zaffaroni

In this paper, we introduce a metric ansatz designed to describe spherically symmetric quantum-corrected black hole (BH) space-time within an AdS space background, incorporating both an ordinary and a phantom global monopole. Our study…

General Relativity and Quantum Cosmology · Physics 2025-03-20 B. Hamil , B. C. Lütfüoğlu , F. Ahmed , Z. Yousaf

We study the thermodynamics associated to topological black hole solutions of AdS gravity coupled to nonlinear electrodynamics (Born-Infeld) in any dimension, using a background-independent regularization prescription for the Euclidean…

High Energy Physics - Theory · Physics 2008-11-26 Olivera Miskovic , Rodrigo Olea

An explicit formula for the ADM mass of an asymptotically AdS black hole in a generic Lovelock gravity theory is presented, identical in form to that in Einstein gravity, but multiplied by a function of the Lovelock coupling constants and…

High Energy Physics - Theory · Physics 2015-05-28 David Kastor , Sourya Ray , Jennie Traschen

Considering the cosmological constant $\Lambda$ as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume as proposed in Kubiznak and Mann (2012), we discuss the critical behavior of charged AdS black hole in…

High Energy Physics - Theory · Physics 2015-06-11 A. Belhaj , M. Chabab , H. El Moumni , M. B. Sedra

We obtain two exact solutions of Einstein gravity coupled to nonlinear electrodynamics (NLED) in $(2+ 1)$-dimensional Anti-de Sitter (AdS) spacetime. The solutions are characterized by the mass $M$, angular momentum $J$, cosmological…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Pedro Cañate , Daniela Magos , Nora Breton

We study the AdS/CFT thermodynamics of the spatially isotropic counterpart of the Bjorken similarity flow in d-dimensional Minkowski space with d>=3, and of its generalisation to linearly expanding d-dimensional Friedmann-Robertson-Walker…

High Energy Physics - Theory · Physics 2009-01-16 K. Kajantie , Jorma Louko , T. Tahkokallio

It was recently observed in arXiv:2304.07320 for thermal Kerr-Newman black holes in 4d flat space that one can rewrite the conventional thermodynamics on the inner and outer horizons in terms of left- and right-moving variables with a…

High Energy Physics - Theory · Physics 2024-02-20 Kiril Hristov

In [Phys. Rev. Lett. 124, 101103 (2020)], a universal relation between corrections to entropy and extremality was proposed. The relation was also found to exactly hold for the four-dimensional charged AdS black hole. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Shao-Wen Wei , Ke Yang , Yu-Xiao Liu

Treating the cosmological constant as a pressure, in the context of black hole thermodynamics, a thermodynamic volume for the black hole can be defined as being the thermodynamic variable conjugate to the pressure, in the sense of a…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Brian P. Dolan

The initial data sets for the five-dimensional Einstein equation have been examined. The system is designed such that the black hole ($\simeq S^3$) or the black ring ($\simeq S^2\times S^1$) can be found. We have found that the typical…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Daisuke Ida , Ken-ichi Nakao