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We show that four-dimensional black holes become stable below certain mass when the Einstein-Hilbert action is supplemented with higher-curvature terms. We prove this to be the case for an infinite family of ghost-free theories involving…

High Energy Physics - Theory · Physics 2017-07-26 Pablo Bueno , Pablo A. Cano

We present a singularity excision algorithm appropriate for numerical simulations of black holes moving throughout the computational domain. The method is an extension of the excision procedure previously used to obtain stable simulations…

General Relativity and Quantum Cosmology · Physics 2009-11-10 D. Shoemaker , K. Smith , U. Sperhake , P. Laguna , E. Schnetter , D. Fiske

Spacetimes with an ergoregion that is not connected to a horizon are linearly unstable. While the linear regime has been studied in a number of settings, little is known about the nonlinear evolution of this ergoregion instability. Here, we…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Nils Siemonsen , William E. East

We investigate new paths to black hole formation by considering the general relativistic evolution of a differentially rotating polytrope with toroidal shape. We find that this polytrope is unstable to nonaxisymmetric modes, which leads to…

General Relativity and Quantum Cosmology · Physics 2010-11-16 Burkhard Zink , Nikolaos Stergioulas , Ian Hawke , Christian D. Ott , Erik Schnetter , Ewald Mueller

We consider the time evolution of massless gravitino perturbations in Schwarzschild black holes, and show that as in the case of fields of other values of spin, the evolution comes in three stages, after an initial outburst as a first…

General Relativity and Quantum Cosmology · Physics 2011-02-09 Owen Pavel Fernández Piedra

The interior of a Schwarzschild black hole is investigated at the level of phenomenological dynamics with the discreteness corrections of loop quantum geometry implemented in two different improved quantization schemes. In one scheme, the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dah-Wei Chiou

We study the emergence of string instabilities in $D$ - dimensional black hole spacetimes (Schwarzschild and Reissner - Nordstr\o m), and De Sitter space (in static coordinates to allow a better comparison with the black hole case). We…

General Relativity and Quantum Cosmology · Physics 2009-10-22 C. O. Lousto , N. Sánchez

In the framework of Randall-Sundrum model, we discuss the evolution of microscopic black holes created by cosmic particles hitting a neutron or a strange star. We set up the general equations of evolution for the black hole mass and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Veronique Van Elewyck

We consider the time evolution of a scalar field propagating in Schwarzschild-de Sitter spacetime. At early times, the field behaves as if it were in pure Schwarzschild spacetime; the structure of spacetime far from the black hole has no…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Patrick Brady , Chris Chambers , William Laarakkers , Eric Poisson

Using the Schwarzschild metric as a rudimentary toy model, we pedagogically revisit the curious prediction that the mass of a classical black hole in a constant temperature thermal bath diverges in a finite amount of time. We study in…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Aurélien Barrau , Killian Martineau , Cyril Renevey

The theoretical properties of the black holes (BHs) and of the universe were derived from a unified relativistic theory based on a generalization of local relativity for nonlocal cases in gravitational fields and a quantized standing wave…

Astrophysics · Physics 2008-02-03 Rafael A. Vera

We investigate the geometry of a tidally deformed, rotating black hole and timelike geodesics in its vicinity. Our framework provides a local picture of the structural evolution of a relativistic restricted three-body problem around a…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Takuya Katagiri , Vitor Cardoso

A description of the event horizon of a perturbed Schwarzschild black hole is provided in terms of the intrinsic and extrinsic geometries of the null hypersurface. This description relies on a Gauss-Codazzi theory of null hypersurfaces…

General Relativity and Quantum Cosmology · Physics 2011-12-06 Ian Vega , Eric Poisson , Ryan Massey

In this paper we study how the distortion generated by a static and neutral distribution of external matter affects a 5-dimensional Schwarzschild-Tangherlini black hole. A solution representing a particular class of such distorted black…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Shohreh Abdolrahimi , Andrey A. Shoom , Don N. Page

Massive spin-2 fields, which arise in proposed extensions of the standard model of particle physics and general relativity, give rise to a superradiant instability around spinning black holes. We study the nonlinear evolution of this…

General Relativity and Quantum Cosmology · Physics 2025-09-18 Taillte May , William E. East

We have proposed a model geometry for the interior of a regular black hole mimicker, the frozen star, whose most startling feature is that each spherical shell in its interior is a surface of infinite redshift. The geometry is a solution of…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Ram Brustein , A. J. M. Medved , Tom Shindelman , Tamar Simhon

We present results from a numerical study of rotating black hole formation in 3-dimensional asymptotically anti-de Sitter (AdS) spacetime, focusing on the structure of the black hole interior. While black holes in $AdS_3$ are of theoretical…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Alex Pandya , Frans Pretorius

Gravitational perturbations which are present in any realistic stellar collapse to a black hole, die off in the exterior of the hole, but experience an infinite blueshift in the interior. This is believed to lead to a slowly contracting…

General Relativity and Quantum Cosmology · Physics 2016-08-24 S. Droz

We present novel asymptotically global AdS$_4$ solutions, constructed by turning on a dipolar differential rotation at the conformal boundary. At fixed energy and boundary profile, we find two different geometries: a horizonless spacetime,…

High Energy Physics - Theory · Physics 2018-02-20 Julija Markeviciute , Jorge E. Santos

Cutting out an infinite tube around $r=0$ formally removes the Schwarzschild singularity, but without a physical mechanism this procedure seems ad hoc and artificial. In this paper we provide justification for such a mechanism by means of…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Jens Boos
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