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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

The constant mass function foliation has been shown useful for studying the null Penrose inequality on a null hypersurface, because of the monotonicity formula of Hawking mass along such a foliation. In this paper, we show the global…

微分几何 · 数学 2024-04-29 Pengyu Le

Time-dependent spherically-symmetric perturbations of Schwarzschild black holes are studied within torsion bigravity, i.e., within generalized Einstein-Cartan theories where the dynamical torsion carries massive spin-2 excitation. We reduce…

广义相对论与量子宇宙学 · 物理学 2021-07-21 Vasilisa Nikiforova

Linearized perturbations of a Schwarzschild black hole are described, for each angular momentum $\ell$, by the well-studied discrete quasinormal modes (QNMs), and in addition a continuum. The latter is characterized by a cut strength…

广义相对论与量子宇宙学 · 物理学 2007-05-23 P. T. Leung , Alec Maassen_van_den_Brink , K. W. Mak , K. Young

Recently, Friedrich's Generalized Conformal Field Equations (GCFE) have been implemented numerically and global quantities such as the Bondi energy and the Bondi-Sachs mass loss have been successfully calculated directly on null-infinity.…

广义相对论与量子宇宙学 · 物理学 2023-05-31 Jörg Frauendiener , Chris Stevens

The spherically symmetric null hypersurfaces in a Schwarzschild spacetime are smooth away from the singularities and foliate the spacetime. We prove the existence of more general foliations by null hypersurfaces without the spherical…

微分几何 · 数学 2022-07-12 Pengyu Le

A time-symmetric Cauchy slice of the extended Schwarzschild spacetime can be evolved into a foliation of the $r>3m/2$-region of the spacetime by maximal surfaces with the requirement that time runs equally fast at both spatial ends of the…

广义相对论与量子宇宙学 · 物理学 2009-10-30 R. Beig , N. Ó Murchadha

This paper extends the results of [GLS24], where the existence of a constant harmonic mean curvature foliation was established in the setting of a 3-dimensional asymptotically Schwarzschild manifold. Here, we generalize this construction to…

微分几何 · 数学 2025-05-29 Yaoting Gui , Yuqiao Li , Jun Sun

We argue that it is possible to assign Bondi as well as ADM four-momentum to the ultrarelativistic limit of the Schwarzschild black hole in agreement to what is expected on physical grounds: The Bondi-momentum is lightlike and equal to the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 P. C. Aichelburg , H. Balasin

We consider a series of distorted black hole initial data sets, and develop techniques to evolve them using the linearized equations of motion for the gravitational wave perturbations on a Schwarzschild background. We apply this to 2D and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Gabrielle Allen , Karen Camarda , Edward Seidel

We revisit the classical stability of Schwarzschild black hole in fourth-order theories of gravity. On the contrary of the stability of this black hole, it turns out that the linearized perturbations exhibit unstable modes featuring the…

广义相对论与量子宇宙学 · 物理学 2013-08-09 Yun Soo Myung

We study linear perturbations about non rotating black hole solutions in scalar-tensor theories, more specifically Horndeski theories. We consider two particular theories that admit known hairy black hole solutions. The first one,…

广义相对论与量子宇宙学 · 物理学 2022-11-03 David Langlois , Karim Noui , Hugo Roussille

We discuss properties of a 4-dimensional Schwarzschild black hole in a spacetime where one of the spatial dimensions is compactified. As a result of the compactification the event horizon of the black hole is distorted. We use Weyl…

高能物理 - 理论 · 物理学 2009-11-10 Andrei V. Frolov , Valeri P. Frolov

We study linear perturbations around a static and spherically symmetric black hole solution in spatially covariant gravity with just two tensorial degrees of freedom. In this theory, gravity modification is characterized by a single…

广义相对论与量子宇宙学 · 物理学 2024-02-20 Jin Saito , Tsutomu Kobayashi

In this work we study the spectral dimensionality of spacetime around a radiating Schwarzschild black hole using a recently introduced formalism of quantum gravity, where the alterations of the gravitational field produced by the radiation…

广义相对论与量子宇宙学 · 物理学 2025-05-07 Mauricio Bellini , Juan Ignacio Musmarra , Pablo Alejandro Sanchez , Alan Sebastian Morales

The coupled equations for the scalar modes of the linearized Einstein equations around Schwarzschild's spacetime were reduced by Zerilli to a 1+1 wave equation with a potential $V$, on a field $\Psi_z$. For smooth metric perturbations…

广义相对论与量子宇宙学 · 物理学 2015-05-13 Gustavo Dotti , Reinaldo J. Gleiser

We describe recent work due to Niall \'O Murchadha and the author (Phys. Rev. D57, 4728 (1998)) on the late time behaviour of the maximal foliation of the extended Schwarzschild geometry which results from evolving a time symmetric slice…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Robert Beig

We investigate vacuum polarization on the event horizon of a Schwarzschild black hole carrying a global monopole. For a massless scalar field $\Psi$ in the Hartle-Hawking state and with arbitrary curvature coupling, we compute the…

广义相对论与量子宇宙学 · 物理学 2026-02-12 Leonardo G. Barbosa , Victor H. M. Ramos , João Paulo M. Pitelli

In this paper we pursue the study of linear perturbations around a Schwarzschild black hole in a generalized Einstein-Cartan theory of gravity, called torsion bigravity. This theory contains both massless and massive spin-2 excitations.…

广义相对论与量子宇宙学 · 物理学 2022-04-13 Vasilisa Nikiforova

We investigate a foliation of Schwarzschild spacetime determined by observers freely falling in the radial direction. This is described using a generalisation of Gullstrand-Painlev\'e coordinates which allows for any possible radial…

广义相对论与量子宇宙学 · 物理学 2022-09-05 Colin MacLaurin
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