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The nonmodal linear stability of the Schwarzschild black hole established in Phys. Rev. Lett. 112 (2014) 191101 is generalized to the case of a nonnegative cosmological constant $\Lambda$. Two gauge invariant combinations $G_{\pm}$ of…

广义相对论与量子宇宙学 · 物理学 2016-09-26 Gustavo Dotti

The critical behavior of black holes in even and odd dimensional spacetimes is studied based on Ba\~nados-Teitelboim-Zanelli (BTZ) dimensionally continued black holes. In even dimensions it is found that asymptotically flat and anti…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Javier P. Muniain , Dardo Piriz

While the Kerr-Schild double copy of the Coulomb solution in dimensions higher than three is the Schwarzschild black hole, it is known that it should be a non-vacuum solution in three dimensions. We show that the static black hole solution…

高能物理 - 理论 · 物理学 2021-08-25 Gokhan Alkac , Mehmet Kemal Gumus , Mehmet Ali Olpak

The Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions discussed by Banados, Teitelboim and Zanelli are solved by assuming a self(anti-self)dual equation. The solution describes an electrically…

高能物理 - 理论 · 物理学 2009-10-28 Masaru Kamata , Takao Koikawa

A large variety of spacetimes---including the BTZ black holes---can be obtained by identifying points in 2+1 dimensional anti-de Sitter space by means of a discrete group of isometries. We consider all such spacetimes that can be obtained…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Stefan Aminneborg , Ingemar Bengtsson , Dieter Brill , Soren Holst , Peter Peldan

It is known from the work of Banados et al. that a space-time with event horizons (much like the Schwarzschild black hole) can be obtained from 2+1 dimensional anti-de Sitter space through a suitable identification of points. We point out…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Stefan Aminneborg , Ingemar Bengtsson , Soren Holst , Peter Peldan

The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution. The 2+1 black hole -characterized by mass, angular momentum and charge, defined by flux integrals at…

高能物理 - 理论 · 物理学 2009-10-22 Máximo Bañados , Claudio Teitelboim , Jorge Zanelli

We consider noncommutative BTZ black hole solutions in two different coordinate systems, the polar and rectangular coordinates. The analysis is carried out by obtaining noncommutative solutions of $U(1,1)\times U(1,1)$ Chern-Simons theory…

高能物理 - 理论 · 物理学 2009-01-13 Ee Chang-Young

We consider a cosmological model based upon a non-canonical noncommutative extension of the Heisenberg-Weyl algebra to address the thermodynamical stability and the singularity problem of both the Schwarzschild and the Kantowski-Sachs black…

高能物理 - 理论 · 物理学 2011-07-08 Catarina Bastos , Orfeu Bertolami , Nuno Costa Dias , João Nuno Prata

In the spirit of Black Hole Complementary Principle, we have found the noncommutative membrane of Scharzchild Black Holes. In this paper we extend our results to Kerr Black Hole and see the same story. Also we make a conjecture that…

高能物理 - 理论 · 物理学 2007-05-23 Zen Wei

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

广义相对论与量子宇宙学 · 物理学 2017-11-09 M. Socolovsky

We study gravitational perturbations of the Schwarzschild metric in the context of noncommutative gravity. $r-\varphi$ and $r-t$ noncommutativity are introduced through a Moyal twist of the Hopf algebra of diffeomorphisms. Differential…

广义相对论与量子宇宙学 · 物理学 2025-05-13 Nikola Herceg , Tajron Jurić , A. Naveena Kumara , Andjelo Samsarov , Ivica Smolić

We investigate the behavior of a noncommutative radiating Schwarzschild black hole. It is shown that coordinate noncommutativity cures usual problems encountered in the description of the terminal phase of black hole evaporation. More in…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Piero Nicolini , Anais Smailagic , Euro Spallucci

We prove the uniqueness theorem for self-gravitating non-linear sigma-models in higher dimensional spacetime. Applying the positive mass theorem we show that Schwarzschild-Tagherlini spacetime is the only maximally extended, static…

高能物理 - 理论 · 物理学 2009-11-07 Marek Rogatko

We study Finsler black holes induced from Einstein gravity as possible effects of quantum spacetime noncommutativity. Such Finsler models are defined by nonholonomic frames not on tangent bundles but on (pseudo) Riemannian manifolds being…

数学物理 · 物理学 2010-04-22 Sergiu I. Vacaru

The negative mode of the Schwarzschild black hole is central to Euclidean quantum gravity around hot flat space and for the Gregory-Laflamme black string instability. We analyze the eigenvalue as a function of space-time dimension by…

高能物理 - 理论 · 物理学 2008-11-26 Vadim Asnin , Dan Gorbonos , Shahar Hadar , Barak Kol , Michele Levi , Umpei Miyamoto

We study the negative mass Schwarzschild spacetime, which has a naked singularity, and show that it is perturbatively unstable. This is achieved by first introducing a modification of the well known Regge - Wheeler - Zerilli approach to…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Reinaldo J. Gleiser , Gustavo Dotti

New, simple models of ``black hole interiors'', namely spherically symmetric solutions of the Einstein field equations in matter matching the Schwarzschild vacuum at spacelike hypersurfaces ``R<2M'' are constructed. The models satisfy the…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Giulio Magli

We make a thorough investigation of the asymptotic quasinormal modes of the four and five-dimensional Schwarzschild black hole for scalar, electromagnetic and gravitational perturbations. Our numerical results give full support to all the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Vitor Cardoso , Jose' P. S. Lemos , Shijun Yoshida

The (single) black hole solutions of Ba\~nados, Teitelboim and Zanelli (BTZ) in 2+1 dimensional anti-de Sitter space are generalized to an arbitrary number $n$ of such black holes. The resulting multi-black-hole (MBH) spacetime is locally…

广义相对论与量子宇宙学 · 物理学 2011-04-15 Dieter R. Brill