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We review several aspects of anti-De Sitter (AdS) spaces in different dimensions, and of four dimensional Schwarzschild anti-De Sitter (SAdS) black hole.

General Relativity and Quantum Cosmology · Physics 2017-11-09 M. Socolovsky

Charged black holes in a ($2+1$)-dimensional anti-de Sitter space-time suffer from some limitations such as the ambiguity in the definition of the mass and the bad short distance behavior. In this paper we present a way to resolve such…

General Relativity and Quantum Cosmology · Physics 2021-06-24 Patricio Gaete , Piero Nicolini , Euro Spallucci

Some recent studies have implied that quantum fluctuations will prevent a near-extremal black hole from ever attaining a state of precise extremality. In this paper, we consider the analogous situation for the scenario of a nearly…

High Energy Physics - Theory · Physics 2007-05-23 A. J. M. Medved

In order for spacetimes with static extra dimensions to have 4-dimensional de Sitter expansion they must have at least positive curvature, warping sourced by the 4-d expansion, or violate the null energy condition everywhere in the extra…

High Energy Physics - Theory · Physics 2019-08-28 Saurya Das , S. Shajidul Haque , Bret Underwood

We study motion of particles and light in a space-time of a 5-dimensional rotating black hole. We demonstrate that the Myers-Perry metric describing such a black hole in addition to three Killing vectors possesses also a Killing tensor. As…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Valeri Frolov , Dejan Stojkovic

We present black hole type solutions in the scalar-tensor theory with nonminimal derivative coupling to the Einstein tensor. The effects of the nonminimal derivative coupling appear in the large scales, while the solutions approach those in…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Masato Minamitsuji

We study the polarization of the vacuum for a scalar field, $<\phi^2 >$, on an asymptotically anti-de Sitter black hole geometry. The method we follow uses the WKB analytic expansion and point-splitting regularization, similarly to previous…

High Energy Physics - Theory · Physics 2009-02-20 Antonino Flachi , Takahiro Tanaka

Regular Schwarzschild Anti-de-Sitter (RSch-AdS) spacetime, which is a maximally symmetric and Lorentzian manifold of negative curvature, is a solution of Einstein's field equations with a negative cosmological constant and a matter source…

General Relativity and Quantum Cosmology · Physics 2024-10-21 A. Mahmoodzadeh , B. Malakolkalami , K. Ghaderi

We analyze the thermodynamic response near extremality of black holes with angular momentum in (3+1)-dimensional de Sitter and Anti-de Sitter spacetimes. While Kerr-AdS$_4$ is characterized by a single extremal limit, for Kerr-dS$_4$ there…

High Energy Physics - Theory · Physics 2025-05-06 Francesca Mariani , Chiara Toldo

We describe a class of impulsive gravitational waves which propagate either in a de Sitter or an anti-de Sitter background. They are conformal to impulsive waves of Kundt's class. In a background with positive cosmological constant they are…

General Relativity and Quantum Cosmology · Physics 2009-10-30 J Podolsky , J B Griffiths

We present a $D$-dimensional charged Anti-de-Sitter black hole solutions in $f(T)$ gravity, where $f(T)=T+\beta T^2$ and $D \geq 4$. These solutions are characterized by flat or cylindrical horizons. The interesting feature of these…

General Relativity and Quantum Cosmology · Physics 2017-08-01 A. M. Awad , S. Capozziello , G. G. L. Nashed

We study some aspects of the de Sitter version of Jackiw-Teitelboim gravity. Though we do not have propagating gravitons, we have a boundary mode when we compute observables with a fixed dilaton and metric at the boundary. We compute the…

High Energy Physics - Theory · Physics 2025-01-09 Juan Maldacena , Gustavo J. Turiaci , Zhenbin Yang

An abelian gauge symmetry can be spontaneously broken near a black hole horizon in anti-de Sitter space using a condensate of non-abelian gauge fields. There is a second order phase transition between Reissner-Nordstrom-anti-de Sitter…

High Energy Physics - Theory · Physics 2008-12-18 Steven S. Gubser

This paper analyzes the supersymmetric solutions to five and six-dimensional minimal (un)gauged supergravities for which the bilinear Killing vector constructed from the Killing spinor is null. We focus on the spacetimes which admit an…

High Energy Physics - Theory · Physics 2015-12-15 Dietmar Klemm , Masato Nozawa

We uplift the static three dimensional black hole solution found by Banados, Teitelboim and Zanelli (BTZ) into four dimensional space time. In this way we obtain a black string solution with a relativistic string source, as well as a new…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Bjørn Jensen , Svend E. Hjelmeland

We derive a charged black hole solution in four dimensions described by $SL(2,R)\times SU(2)\times U(1)/U(1)^2$ WZW coset model. Using the algebraic Hamiltonian method we calculate the corresponding solution that is exact to all orders in…

High Energy Physics - Theory · Physics 2010-11-01 David Gershon

In this paper we add a compact dimension to Schwarzschild-(anti-) de sitter and Kerr-(anti-) de sitter spacetimes, which describes (rotating) black string-(anti-) de sitter spacetime. We study the geodesic motion of test particles and light…

General Relativity and Quantum Cosmology · Physics 2017-10-16 Sobhan Kazempour , Reza Saffari , Saheb Soroushfar

Cosmological acceleration is difficult to accommodate in theories of fundamental interactions involving supergravity and superstrings. An alternative is that the acceleration is not universal but happens in a large localized region, which…

General Relativity and Quantum Cosmology · Physics 2022-12-20 Anxo Biasi , Oleg Evnin , Spyros Sypsas

In the present lore of cosmology, matter and space-time emerged from a singularity and evolved through four different regimes: inflation, radiation, dark matter and dark energy dominated eras. In the radiation and dark matter dominated…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-13 J. A. S. Lima , S. Basilakos

Recently, Ba\~nados, Teitelboim and Zanelli obtained spherically symmetric black hole solutions in a particular class of Einstein--Lovelock gravity. We derive the propagator in an exact form for a conformal scalar field in the…

General Relativity and Quantum Cosmology · Physics 2019-02-05 Kiyoshi Shiraishi , Takuya Maki
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