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We establish an inequality relating the surface gravity and topology of a horizon in a $3$-dimensional asymptotically locally hyperbolic static space with the geometry at infinity. Equality is achieved only by the Kottler black holes, and…

Differential Geometry · Mathematics 2025-09-23 Brian Harvie , Ye-Kai Wang

In this paper, we study the global behavior of solutions to the spherically symmetric coupled Einstein-Klein-Gordon (EKG) system in the presence of a negative cosmological constant. We prove that the Schwarzschild-AdS spacetimes (the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Gustav Holzegel , Jacques Smulevici

We continue the programme of exploring the means of holographically decoding the geometry of spacetime inside a black hole using the gauge/gravity correspondence. To this end, we study the behaviour of certain extremal surfaces (focusing on…

High Energy Physics - Theory · Physics 2015-06-18 Veronika E. Hubeny , Henry Maxfield

Starting with a procedure for dealing with general asymptotic behaviors, we construct a quantum theory for asymptotically anti-de Sitter wormholes. We follow both the path integral formalism and the algebraic quantization program proposed…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carlos Barcelo , Luis J. Garay , Pedro F. Gonzalez-Diaz , Guillermo A. Mena Marugan

Asymptotically locally AdS black hole geometries of dimension d > 2 are studied for nontrivial topologies of the transverse section. These geometries are static solutions of a set of theories labeled by an integer 0 < k < [(d-1)/2] which…

High Energy Physics - Theory · Physics 2009-10-31 R. Aros , R. Troncoso , J. Zanelli

A new class of vacuum black holes for the most general gravity theory leading to second order field equations in the metric in even dimensions is presented. These space-times are locally AdS in the asymptotic region, and are characterized…

High Energy Physics - Theory · Physics 2015-05-30 Andres Anabalon , Fabrizio Canfora , Alex Giacomini , Julio Oliva

We study the matter perturbations of a new AdS wormhole in (3+1)-dimensional Einstein-Born-Infeld gravity, called "natural wormhole", which does not require exotic matters. We discuss the stability of the perturbations by numerically…

High Energy Physics - Theory · Physics 2018-12-26 Jin Young Kim , Chong Oh Lee , Mu-In Park

Recently, the complexity equals any gravitational observable conjecture has been proposed in [Phys. Rev. Lett. 128, 081602 (2022)], which is an extension of the complexity equals volume proposal. These gravitational observables are referred…

High Energy Physics - Theory · Physics 2025-01-03 Hong-Yue Jiang , Meng-Ting Wang , Yu-Xiao Liu

We investigate Euclidean wormholes in Einstein gravity with a massless scalar field in de Sitter space. Euclidean wormholes are possible due to the analytic continuation of the time as well as complexification of fields, where we need to…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Pisin Chen , Yao-Chieh Hu , Dong-han Yeom

We consider three-dimensional gravity with negative cosmological constant coupled to a large number of light matter fields dual to relevant operators. By imposing suitable boundary conditions on the matter fields we find eternal traversable…

High Energy Physics - Theory · Physics 2023-02-28 William Harvey , Kristan Jensen

We formulate the variational problem for AdS gravity with Dirichlet boundary conditions and demonstrate that the covariant counterterms are necessary to make the variational problem well-posed. The holographic charges associated with…

High Energy Physics - Theory · Physics 2009-11-11 Ioannis Papadimitriou , Kostas Skenderis

The C-metric in vacuum general relativity describes a pair of accelerated black holes supported by conical singularity. In this paper, we present a new family of exact solutions to the Einstein-phantom scalar system that describes…

General Relativity and Quantum Cosmology · Physics 2023-09-20 Masato Nozawa , Takashi Torii

I present an informal overview of several recent results about Euclidean saddle points sourced by axion fields in quantum gravity (AdS/CFT), such as wormholes, their extremal "D-instanton" limits and their under-extremal singular…

High Energy Physics - Theory · Physics 2020-04-22 Thomas Van Riet

Motivated by the gauge/gravity duality, we introduce a numerical scheme based on generalized harmonic evolution to solve the Einstein field equations on asymptotically anti-de Sitter (AdS) spacetimes. We work in global AdS5, which can be…

High Energy Physics - Theory · Physics 2013-05-30 Hans Bantilan , Frans Pretorius , Steven S. Gubser

We consider the geometry of anti-de-Sitter (AdS) black hole thermodynamics in four dimensions, where the equation of state in the extended phase space formalism allows explicit comparison with normal fluid systems. We show that for the…

High Energy Physics - Theory · Physics 2021-06-15 Joy Das Bairagya , Kunal Pal , Kuntal Pal , Tapobrata Sarkar

We study scalar perturbations of the rotating Teo wormhole embedded in asymptotically Anti-de Sitter (AdS) spacetime and demonstrate that the radial Klein Gordon equation exhibits an emergent conformal structure. The smooth traversable…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Ramesh Radhakrishnan , Gerald B. Cleaver , William Julius

We present several classes of exact solutions in the Einstein-Klein-Gordon system with a cosmological constant. The spacetime has spherical, plane, or hyperbolic symmetry and the higher-dimensional solutions are obtained in a closed form…

General Relativity and Quantum Cosmology · Physics 2013-02-15 Hideki Maeda

The title of this article refers to analytic continuation of three-dimensional Chern-Simons gauge theory away from integer values of the usual coupling parameter k, to explore questions such as the volume conjecture, or analytic…

High Energy Physics - Theory · Physics 2010-08-31 Edward Witten

We show that there exists a precise kinematical notion of holography for the Euclidean warped $AdS_3$ black hole. This follows from the fact that the Euclidean warped $AdS_3$ black hole spacetime is a geometrically finite hyperbolic…

High Energy Physics - Theory · Physics 2014-11-20 Kumar S. Gupta , E. Harikumar , Siddhartha Sen , M. Sivakumar

The exact computation of asymptotic quasinormal frequencies is a technical problem which involves the analytic continuation of a Schrodinger-like equation to the complex plane and then performing a method of monodromy matching at the…

High Energy Physics - Theory · Physics 2015-06-26 Vitor Cardoso , Jose Natario , Ricardo Schiappa