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This paper introduces a new effort to study the collision of plane-fronted gravitational waves in four dimensional, asymptotically flat spacetime, using numerical solutions of the Einstein equations. The pure vacuum problem requires…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Frans Pretorius , William E. East

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. Marronetti , M. Huq , P. Laguna , L. Lehner , R. Matzner , D. Shoemaker , .

If cosmological constant is positive, a black hole is naturally described by the Schwarzschild-de Sitter solution with two horizons. We use the global method to extract the topological information and the selection rule for the…

High Energy Physics - Theory · Physics 2007-05-23 Feng-Li Lin

In 1997, an extension of general relativity was proposed that predicts the dark energy density \Lambda\ to vary linearly with the total number of macroscopic black holes in the universe. We explore this prediction and find that \Lambda\…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-20 A. Aykutalp , M. Spaans

Microscopic black holes are sensitive to higher dimension operators in the gravitational action. We compute the influence of these operators on the Schwarzschild solution using perturbation theory. All (time reversal invariant) operators of…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Ming Lu , Mark B. Wise

We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a (d-2)-dimensional Einstein manifold of positive, zero, or…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham

Numerical relativity has seen incredible progress in the last years, and is being applied with success to a variety of physical phenomena, from gravitational-wave research and relativistic astrophysics to cosmology and high-energy physics.…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ulrich Sperhake , Vitor Cardoso , Christian D. Ott , Erik Schnetter , Helvi Witek

We derive noncommutative Einstein equations for abelian twists and their solutions in consistently symmetry reduced sectors, corresponding to twisted FRW cosmology and Schwarzschild black holes. While some of these solutions must be…

High Energy Physics - Theory · Physics 2009-10-20 Thorsten Ohl , Alexander Schenkel

The relation between logarithmic corrections to the area law for black hole entropy, due to thermal fluctuations around an equilibrium canonical ensemble, and those originating from quantum spacetime fluctuations within a microcanonical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ashok Chatterjee , Parthasarathi Majumdar

We study two large classes of alternative theories, modifying the action through algebraic, quadratic curvature invariants coupled to scalar fields. We find one class that admits solutions that solve the vacuum Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Nicolas Yunes , Leo C. Stein

In this paper we analyze the conditions when the Einstein equations with cosmological constant and matter describe (2+1)-dimensional generic locally anisotropic (la) spacetimes of generalized Finsler type. New classes of solutions for such…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Sergiu I. Vacaru

The entropy of a black hole can be obtained by counting states in loop quantum gravity. The dominant term depends on the Immirzi parameter involved in the quantization and is proportional to the area of the horizon, while there is a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Ghosh , P. Mitra

In this Letter, we study black hole area quantization in the context of gravitational wave physics. It was recently argued that black hole area quantization could be a mechanism to produce so-called echoes as well as characteristic…

General Relativity and Quantum Cosmology · Physics 2019-10-29 Andrew Coates , Sebastian H. Völkel , Kostas D. Kokkotas

Popular approaches to quantum gravity describe black hole microstates differently and apply different statistics to count them. Since the relationship between the approaches is not clear, this obscures the role of statistics in calculating…

General Relativity and Quantum Cosmology · Physics 2009-04-12 Cenalo Vaz , L. C. R. Wijewardhana

The definition of well-behaved coordinate charts for black hole spacetimes can be tricky, as they can lead for example to either unphysical coordinate singularities in the metric (e.g. $r=2M$ in the Schwarzschild black hole) or to an…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Emanuel Gallo , Carlos Kozameh , Thomas Mädler , Osvaldo M. Moreschi , Alejandro Pérez

A structure model for black holes is proposed by mean field approximation of gravity. The model, which consists of a charged singularity at the center and quantum fluctuation of fields around the singularity, is similar to the atomic…

High Energy Physics - Theory · Physics 2009-11-11 Yukinori Nagatani

Numerical relativity codes now being developed will evolve initial data representing colliding black holes at a relatively late stage in the collision. The choice of initial data used for code development has been made on the basis of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Carlos O. Lousto , Richard H. Price

Four spherically symmetric but non-asymptotically flat black hole solutions surrounded with spherical dark matter distribution perceived under the minimal length scale effect is derived via the generalized uncertainty principle. Here, the…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Ali Övgün , Lemuel John F. Sese , Reggie C. Pantig

We study spherically symmetric static solutions to the semi-classical Einstein equation sourced by the vacuum energy of quantum fields in the curved space-time of the same solution. We found solutions that are small deformations of the…

High Energy Physics - Theory · Physics 2018-03-14 Pei-Ming Ho , Yoshinori Matsuo

Many approaches to a semiclassical description of gravity lead to an integer black hole entropy. In four dimensions this implies that the Schwarzschild radius obeys a formula which describes the distance covered by a Brownian random walk.…

High Energy Physics - Theory · Physics 2009-11-10 Axel Krause
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