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The dark energy issue is focusing the attention of an incresing number of physicists all over the world. Among the possible alternatives in order to explain what as been named the "Mystery of the Millennium" are the so-called Modified…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Emilio Bellini , Roberto Di Criscienzo , Lorenzo Sebastiani , Sergio Zerbini

We revisit the classic system of a spherically symmetric black hole in general relativity (i.e., a Schwarzschild black hole) surrounded by a geometrically thin accretion disk. Our purpose is to examine whether one can determine three…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Kenta Hioki , Umpei Miyamoto

New Massive Gravity is an alternative theory to General Relativity that is used to describe the gravitational field in a (2+1)-dimensional spacetime. Black hole solutions have been found in this theory, in particular an asymptotically…

General Relativity and Quantum Cosmology · Physics 2017-05-15 Andrés Aceña , Ericson López , Mario Llerena

A spacetime is a connected 4-dimensional semi-Riemannian manifold endowed with a metric $g$ with signature $(- + + +)$. The geometry of a spacetime is described by the metric tensor $g$ and the Ricci tensor $S$ of type $(0, 2)$ whereas the…

Differential Geometry · Mathematics 2019-08-12 R. Deszcz , A. H. Hasmani , V. G. Khambholja , A. A. Shaikh

The metric of a tidally distorted, nonrotating black hole is presented in a light-cone coordinate system that penetrates the event horizon and possesses a clear geometrical meaning. The metric is expressed as an expansion in powers of r/R…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eric Poisson

The geometry of three-dimensional space guides the search for a better model than the blackhole with its unwelcome singularity. An elementary construction produces on the 4-manifold of 2-spheres in a Riemannian 3-space a space-time metric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

We explicitly compute the causal structure of the Schwarzschild black hole spacetime, by providing an algorithm to decide if any pair of events is causally related. The primary motivation for this study comes from discrete quantum gravity,…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Song He , David Rideout

In this paper, we present the metric for the $n$-dimensional charged slowly rotating dilaton black hole with $N = [(n -1)/2]$ independent rotation parameters, associated with $N$ orthogonal planes of rotation in the background of…

High Energy Physics - Theory · Physics 2014-11-18 A. Sheykhi , M. Allahverdizadeh

The divergence of curvature invariants at a given point signals the impossibility of extending the spacetime to that point, with the derivative order of these diverging invariants determining the differentiability class of the considered…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Tommaso Antonelli , Marco Sebastianutti

The general parametrization of a black-hole spacetime in arbitrary metric theories of gravity includes an infinite set of parameters. It is natural to suppose that essential astrophysically observable quantities, such as quasinormal modes,…

General Relativity and Quantum Cosmology · Physics 2020-06-04 R. A. Konoplya , A. Zhidenko

We propose a derivation for computing black hole entropy for spherical non-rotating isolated horizons from loop quantum gravity in four and higher dimensions. The state counting problem effectively reduces to the well studied…

General Relativity and Quantum Cosmology · Physics 2013-10-28 Norbert Bodendorfer

Black holes are among the most exciting phenomena predicted by General Relativity and play a key role in fundamental physics. Many interesting phenomena involve dynamical black hole configurations in the high curvature regime of gravity. In…

General Relativity and Quantum Cosmology · Physics 2013-10-11 Helvi Witek

Colliding black holes are systems of profound interest in both gravitational wave astronomy and in gravitation theory, and a variety of methods have been developed for modeling their dynamics in detail. The features of these dynamics are…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Robert Owen , Alex S. Fox , John A. Freiberg , Terrence Pierre Jacques

Recently introduced classical theory of gravity in non-commutative geometry is studied. The most general (four parametric) family of $D$ dibensional static spherically symmetric spacetimes is identified and its properties are studied in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Klimcik , P. Kolnik , A. Pompos

We obtain higher dimensional analogues of the results of Mantoulidis and Schoen in [8]. More precisely, we show that (i) any metric $g$ with positive scalar curvature on the $3$-sphere $S^3$ can be realized as the induced metric on the…

Differential Geometry · Mathematics 2016-02-25 Armando J. Cabrera Pacheco , Pengzi Miao

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

According to the no-hair theorem, astrophysical black holes are uniquely characterized by their masses and spins and are described by the Kerr metric. Several parametric spacetimes which deviate from the Kerr metric have been proposed in…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Tim Johannsen

We study the three dimensional Schwarzschild-de Sitter (SdS$_3$) black hole which corresponds essentially to a conical defect. We compute the mass of the SdS$_3$ black hole from the correct definition of the mass in asymptotically de Sitter…

High Energy Physics - Theory · Physics 2009-11-07 Y. S. Myung

The transformation of the $SL(2,R)/U(1)$ black hole under a boost of the subgroup U(1) is studied. It is found that the tachyon vertex operators of the black hole go into those of the $c=1$ conformal field theory coupled to gravity. The…

High Energy Physics - Theory · Physics 2009-10-28 M. Alimohammadi , F. Ardalan

We investigate the interiors of 3+1 dimensional asymptotically flat charged and rotating black holes as described by observers who fall into the black holes at late times, long after any perturbations of the exterior region have decayed. In…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Donald Marolf , Amos Ori