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In the Chern-Simons gauge theory formulation of the spinning (2+1) dimensional black hole, we may treat the horizon and the spatial infinity as boundaries. We obtain the actions induced on both boundaries, applying the Faddeev and…

High Energy Physics - Theory · Physics 2008-02-03 Taejin Lee

We solve the Klein-Gordon equation for a scalar field, in the background geometry of a dust cloud collapsing to form a black hole, everywhere in the (1+1) spacetime: that is, both inside and outside the event horizon and arbitrarily close…

General Relativity and Quantum Cosmology · Physics 2015-07-07 Sumanta Chakraborty , Suprit Singh , T. Padmanabhan

In general relativity, nonsingular black holes contain (at least) a Cauchy horizon, a null hypersurface beyond which determinism breaks down. Even though the strong cosmic censorship conjecture establishes the impossibility of extending…

General Relativity and Quantum Cosmology · Physics 2023-05-05 Jorge Ovalle

Astrophysical black hole candidates, although long thought to have a horizon, could be horizonless ultra-compact objects. This intriguing possibility is motivated by the black hole information paradox and a plausible fundamental connection…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Bob Holdom , Jing Ren

We investigate classical formation of a D-dimensional black hole in a high energy collision of two particles. The existence of an apparent horizon is related to the solution of an unusual boundary-value problem for Poisson's equation in…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Douglas M. Eardley , Steven B. Giddings

The event horizon of a black hole is arguably the most dramatic manifestation of the fact that in General Relativity, causal structure is dynamical and spacetimes can be separated into distinct regions by causal boundaries. Causal set…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Astrid Eichhorn , Pedro Gamito , Nawder Stokes

Starting with the two-derivative limit of $D=2$ string theory, we explore the space of T-duality invariant $\alpha'$ corrections, a space that contains a point representing the fully $\alpha'$-corrected classical string theory. Using a…

High Energy Physics - Theory · Physics 2023-08-22 Tomas Codina , Olaf Hohm , Barton Zwiebach

The black hole of the widely used ordinary 2d--dilaton model (DBH) deviates from the Schwarzschild black hole (SBH) of General Relativity in one important feature: Whereas non-null extremals or geodesics show the expected incompleteness…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. O. Katanaev , W. Kummer , H. Liebl

Black Holes are unique objects which allow for meaningful theoretical studies of strong gravity and even quantum gravity effects. An infalling and a distant observer would have very different views on the structure of the world. However, a…

General Relativity and Quantum Cosmology · Physics 2015-05-06 Alexey Golovnev

Recently, a class of gravitational backgrounds in 3+1 dimensions have been proposed as holographic duals to a Lifshitz theory describing critical phenomena in 2+1 dimensions with critical exponent $z\geq 1$. We numerically explore black…

High Energy Physics - Theory · Physics 2013-05-29 Gaetano Bertoldi , Benjamin A. Burrington , Amanda Peet

The definition of matter states on spacelike hypersurfaces of a 1+1 dimensional black hole spacetime is considered. The effect of small quantum fluctuations of the mass of the black hole due to the quantum nature of the infalling matter is…

High Energy Physics - Theory · Physics 2010-11-01 E. Keski-Vakkuri , G. Lifschytz , S. D. Mathur , M. E. Ortiz

This paper is a sequel of "Solvable symmetric black hole in anti de Sitter spaces" [arXiv:math.DG/0510442]. In the latter, we described the BTZ black hole in every dimension by defining the singularity as the closed orbits of the Iwasawa…

Differential Geometry · Mathematics 2009-12-14 Laurent Claessens

These are the lecture notes for an introductory course on black holes and some aspects of their interaction with the classical and quantum world. The focus is on phenomena of "fundamental physics" in the immediate surroundings of the black…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Roberto Emparan , Elvis Barakovic , Roukaya Dekhil , Filip Rescic

We investigate the geometry near the horizon of a generic, four-dimensional extremal black hole. When the cosmological constant is negative, we show that (in almost all cases) tidal forces diverge as one crosses the horizon, and this…

High Energy Physics - Theory · Physics 2023-02-15 Gary T. Horowitz , Maciej Kolanowski , Jorge E. Santos

We describe black holes in d+3 dimensions, whose thermodynamic properties correspond to those of a scale invariant non-relativistic d+1 dimensional quantum system with dynamical exponent z=2. The gravitational model involves a massive…

High Energy Physics - Theory · Physics 2009-02-23 Pavel Kovtun , Dominik Nickel

In string theory, an important challenge is to show if the singularity of black holes can be smoothed out by the complete $\alpha^{\prime}$ corrections. The simplest case is to consider a 2D string black hole or 3D black string. This…

High Energy Physics - Theory · Physics 2023-07-11 Shuxuan Ying

Extremal black holes are studied in a two dimensional model motivated by a dimensional reduction from four dimensions. Their quantum corrected geometry is calculated semiclassically and a mild singularity is shown to appear at the horizon.…

High Energy Physics - Theory · Physics 2010-11-01 Sandip P. Trivedi

In this paper, we study the quantum geometric effects near the locations where classical black hole horizons used to appear in Einstein's classical theory, within the framework of an improved dynamic approach, in which the internal region…

General Relativity and Quantum Cosmology · Physics 2024-08-01 Wen-Cong Gan , Xiao-Mei Kuang , Zhen-Hao Yang , Yungui Gong , Anzhong Wang , Bin Wang

Black holes gradually settle into their static configuration by emitting gravitational waves, whose amplitude diminish over time according to a power-law decay at fixed spatial locations. We show that the nonlinear tails in the presence of…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Alex Kehagias , Antonio Riotto

We study the spacetime singularity in 2+1 dimensional AdS-scalar black hole with circular symmetry using a quasi-homogeneous model. We show that this is a spacelike, scalar curvature, deformationally strong singularity.

General Relativity and Quantum Cosmology · Physics 2014-11-17 Lior M. Burko