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In this paper we construct asymptotically locally AdS and flat black holes in the presence of a scalar field whose kinetic term is constructed out from a linear combination of the metric and the Einstein tensor. The field equations as well…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Andres Anabalon , Adolfo Cisterna , Julio Oliva

We describe a new class of boundary conditions for AdS_{d+1} under which the boundary metric becomes a dynamical field. The key technical point is to show that contributions from boundary counter-terms in the bulk gravitational action…

High Energy Physics - Theory · Physics 2008-11-26 Geoffrey Compère , Don Marolf

In this article, the Cartan geometric approach toward (extended) supergravity in the presence of boundaries will be discussed. In particular, based on new developments in this field, we will derive the Holst variant of the…

General Relativity and Quantum Cosmology · Physics 2021-07-15 Konstantin Eder , Hanno Sahlmann

We develop the holographic renormalization of AdS_2 gravity systematically. We find that a bulk Maxwell term necessitates a boundary mass term for the gauge field and verify that this unusual term is invariant under gauge transformations…

High Energy Physics - Theory · Physics 2008-12-18 Alejandra Castro , Daniel Grumiller , Finn Larsen , Robert McNees

With the help of a generalized form of the metric ansatz found for the single-charge case in a previous work [S.Q. Wu, Phys. Rev. D 83, 121502(R) (2011)], I adopt a simple algorithm to construct the most general nonextremal rotating charged…

High Energy Physics - Theory · Physics 2012-01-04 Shuang-Qing Wu

We present a streamlined proof that any Einstein-AdS space is a solution of the Lu, Pang and Pope conformal gravity theory in six dimensions. The reduction of conformal gravity into Einstein theory manifestly shows that the action of the…

High Energy Physics - Theory · Physics 2023-11-13 Giorgos Anastasiou , Ignacio J. Araya , Cristobal Corral , Rodrigo Olea

Standard finite element discretizations of the Richards equation may violate the discrete minimum principle, producing unphysical negative saturations. While existing bound-preserving methods typically rely on computationally expensive…

Numerical Analysis · Mathematics 2026-05-12 Abderrahmane Benfanich , Yves Bourgault , Abdelaziz Beljadid

Recently a new three-dimensional theory of gravity, dubbed Exotic Massive Gravity, was proposed as a unitary theory both in the bulk as well as in the dual CFT. This is the second simplest example, the first being Minimal Massive Gravity.…

General Relativity and Quantum Cosmology · Physics 2019-05-31 Robert B. Mann , Julio Oliva , S. N. Sajadi

We derive new exact charged $d$-dimensional black hole solutions for quadratic teleparallel equivalent gravity, $f({\cal T})=a_0+a_1{\cal T}+a_2{\cal T}^2$, where $\cal T$ is the torsion scalar, in the case of non-linear electrodynamics. We…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Salvatore Capozziello , Gamal G. L. Nashed

We investigate the effects of an analytic boundary metric for smooth asymptotically anti-de Sitter gravitational solutions. The boundary dynamics is then completely determined by the initial data due to corner conditions that all smooth…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Gary T. Horowitz , Diandian Wang

This work introduces a novel family of boundary conditions for AdS$_3$ General Relativity, constructed through a polynomial expansion in negative integer powers of the Brown-Henneaux central charge. The associated dynamics is governed by…

High Energy Physics - Theory · Physics 2024-11-13 Kristiansen Lara , Miguel Pino , Francisco Reyes

We elaborate on the ambient space approach to boundary values of $AdS_{d+1}$ gauge fields and apply it to massless fields of mixed-symmetry type. In the most interesting case of odd-dimensional bulk the respective leading boundary values…

High Energy Physics - Theory · Physics 2016-12-21 Alexander Chekmenev , Maxim Grigoriev

In this paper, we study the physical significance of the thermodynamic volumes of AdS black holes using the Noether charge formalism of Iyer and Wald. After applying this formalism to study the extended thermodynamics of a few examples, we…

High Energy Physics - Theory · Physics 2017-04-13 Josiah Couch , Willy Fischler , Phuc H. Nguyen

We show that Schwarzschild black hole solutions in asymptotically Anti-de Sitter (AdS) and de Sitter (dS) spaces may, up to a conformal factor, be reproduced in the framework of analogue gravity. The aforementioned derivation is performed…

General Relativity and Quantum Cosmology · Physics 2016-12-01 Ramit Dey , Stefano Liberati , Rodrigo Turcati

In this paper, with considering the nonlinear electromagnetic field coupled to Einstein gravity, we obtain the higher dimensional slowly rotating charged black hole solutions. By use of the fact that the temperature of the extreme black…

High Energy Physics - Theory · Physics 2010-11-15 S. H. Hendi

Although gravitational actions diverge in asymptotically AdS spacetimes, boundary counterterms can be added in order to cancel out those divergences; such counterterms are known in general to third order in the Riemann tensor for the…

General Relativity and Quantum Cosmology · Physics 2011-12-01 Alexandre Yale

We provide a non conformal generalization of the Comp\`ere-Song-Strominger (CSS) boundary conditions for AdS$_3$ gravity that breaks the $\widehat u(1)$ Kac-Moody-Virasoro symmetry to two $u(1)$s. The holographic dual specified by the new…

High Energy Physics - Theory · Physics 2021-05-18 Pankaj Chaturvedi , Ioannis Papadimitriou , Wei Song , Boyang Yu

Within the framework of four-dimensional quadratic curvature gravities in the appearance of a negative cosmological constant, a definition for the gravitational energy of solutions with anti-de Sitter (AdS) asymptotics was put forward in…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Meng-Liang Wang , Jun-Jin Peng

In this paper we, first, generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of Lovelock gravity, by introducing the tensorial form of surface terms that make the action well-defined. We also…

High Energy Physics - Theory · Physics 2009-11-11 M. H. Dehghani , N. Bostani , A. Sheykhi

We study supersymmetric charged rotating black holes in AdS$_5$, and show that closed timelike curves occur outside the event horizon. Also upon lifting to rotating D3 brane solutions of type IIB supergravity in ten dimensions, closed…

High Energy Physics - Theory · Physics 2009-11-07 M. M. Caldarelli , D. Klemm , W. A. Sabra