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We prove a strong localized gluing result for the general relativistic constraint equations (with or without cosmological constant) in $n\geq 3$ spatial dimensions. We glue an $\epsilon$-rescaling of an asymptotically flat data set…

偏微分方程分析 · 数学 2022-10-26 Peter Hintz

The excitation of a black hole by infalling matter or radiation has been studied for a long time, mostly in linear perturbation theory. In this paper we study numerically the response of a Schwarzschild black hole to an incoming…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Jörg Frauendiener , Chris Stevens

In this paper we propose a generalization to the Schwarzschild metric and define noncommutative SUSY black holes. We introduce the noncommutative deformation to the minisuperspace variables and derive the noncommutative supersymmetric…

高能物理 - 理论 · 物理学 2023-01-25 A. Crespo-Hernández , E. A. Mena-Barboza , M. Sabido

In this work we construct several black hole metrics which are consistent with the generalized uncertainty principle logarithmic correction to the Bekenstein-Hawking entropy formula. After preserving the event horizon at the usual position,…

广义相对论与量子宇宙学 · 物理学 2016-08-03 Ernesto Contreras , Fabián D. Villalba , Pedro Bargueño

Electromagnetic observations have been used over the past decades to understand the nature of black holes and the material around them. Our ability to learn about the fundamental physics relies on our understanding of two key ingredients in…

广义相对论与量子宇宙学 · 物理学 2019-07-24 Alejandro Cardenas-Avendano , Jaxen Godfrey , Nicolas Yunes , Anne Lohfink

Two new methods have been proposed for solving the gravitational constraints without using elliptic solvers by formulating them as either an algebraic-hyperbolic or parabolic-hyperbolic system. Here, we compare these two methods and present…

广义相对论与量子宇宙学 · 物理学 2018-08-28 István Rácz , Jeffrey Winicour

We present improved post-Newtonian-inspired initial data for non-spinning black-hole binaries, suitable for numerical evolution with punctures. We revisit the work of Tichy et al. [W. Tichy, B. Bruegmann, M. Campanelli, and P. Diener, Phys.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Bernard J Kelly , Wolfgang Tichy , Manuela Campanelli , Bernard F Whiting

We present here an alternative approach to data setting for spacetimes with multiple moving black holes generalizing the Kerr-Schild form for rotating or non-rotating single black holes to multiple moving holes. Because this scheme…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Richard A. Matzner , Mijan F. Huq , Deirdre Shoemaker

An algebraic-hyperbolic method for solving the Hamiltonian and momentum constraints has recently been shown to be well posed for general nonlinear perturbations of the initial data for a Schwarzschild black hole. This is a new approach to…

广义相对论与量子宇宙学 · 物理学 2017-07-26 Jeffrey Winicour

Hawking radiation from a black hole can be viewed as quantum tunneling of particles through the event horizon. Using this approach we provide a general framework for studying corrections to the entropy of black holes beyond semiclassical…

广义相对论与量子宇宙学 · 物理学 2015-05-18 M. Akbar , K. Saifullah

By consideration of a Einstein-dilaton non-linear charged gravitating system, it has been shown that this theory is confronted with the problem of indeterminacy. It means that the number of independent differential equations is one less…

广义相对论与量子宇宙学 · 物理学 2023-01-23 Mohsen Dehghani

We construct initial data corresponding to a single perturbed Kerr black hole in vacuum. These data are defined on specific hyperboloidal ("ACMC-") slices on which the mean extrinsic curvature K asymptotically approaches a constant at…

广义相对论与量子宇宙学 · 物理学 2014-08-27 David Schinkel , Marcus Ansorg , Rodrigo Panosso Macedo

We present a characteristic algorithm for computing the perturbations of a Schwarzschild spacetime by means of solving the Teukolsky equations. Our methods and results are expected to have direct bearing on the study of binary black holes…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Sascha Husa , Manuela Campanelli , Roberto Gomez , Jeffrey Winicour , Yosef Zlochower

Initial data are the starting point for any numerical simulation. In the case of numerical relativity, Einstein's equations constrain our choices of these initial data. We will examine several of the formalisms used for specifying Cauchy…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Gregory B. Cook

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

广义相对论与量子宇宙学 · 物理学 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

By applying the method of moving frames modelling one and two dimensional local anisotropies we construct new solutions of Einstein equations on pseudo-Riemannian spacetimes. The first class of solutions describes non-trivial deformations…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Sergiu I. Vacaru

The information loss occurs in an evaporating black hole only if the time evolution ends at the singularity. But as we shall see, the black hole solutions admit analytical extensions beyond the singularities, to globally hyperbolic…

广义相对论与量子宇宙学 · 物理学 2015-07-14 Ovidiu Cristinel Stoica

We provide a new exact solution of the Einstein equations which generalizes the noncommutative geometry inspired Schwarzschild metric, we previously obtained. We consider here more general relations between the energy density and the radial…

广义相对论与量子宇宙学 · 物理学 2010-01-06 Piero Nicolini , Euro Spallucci

We study conformally-invariant theories of gravity in six dimensions. In four dimensions, there is a unique such theory that is polynomial in the curvature and its derivatives, namely Weyl-squared, and furthermore all solutions of Einstein…

高能物理 - 理论 · 物理学 2013-05-21 H. Lu , Y. Pang , C. N. Pope

Isolated horizon conditions enforce the time invariance of both the intrinsic and the extrinsic geometry of a (quasilocal) black hole horizon. Nonexpanding horizons, only requiring the invariance of the intrinsic geometry, have been…

广义相对论与量子宇宙学 · 物理学 2009-10-29 José Luis Jaramillo
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