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We study the stability under scalar perturbations, and we compute the quasinormal modes of the Einstein-Born-Infeld dilaton spacetime in 1+3 dimensions. Solving the full radial equation in terms of hypergeometric functions, we provide an…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Kyriakos Destounis , Grigoris Panotopoulos , Ángel Rincon

We show non-linear stability and instability results in spherical symmetry for the interior of a charged black hole -approaching a sub-extremal Reissner-Nordstr\"om background fast enough at infinity- in presence of a massive and charged…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Maxime Van de Moortel

Time evolution of a black hole lattice universe is simulated. The vacuum Einstein equations in a cubic box with a black hole at the origin are numerically solved with periodic boundary conditions on all pairs of opposite faces. Defining…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Chul-Moon Yoo , Hirotada Okawa , Ken-ichi Nakao

The Schwarzschild-Melvin spacetime is an exact solution of the Einstein electrovacuum equations describing a black hole immersed in a magnetic field which is asymptotically aligned with the z-axis. It plays an important role in our…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Vitor Cardoso , José Natário

We construct a black hole initial data for the Einstein equations with prescribed scalar curvature, or more precisely a piece of initial data contained inside the black hole. The constraints translate into a parabolic equation, with radius…

Differential Geometry · Mathematics 2012-07-12 Bernold Fiedler , Juliette Hell , Brian Smith

We present new numerical cosmological solutions of the Einstein Field Equations. The spacetime is spherically symmetric with a source of dust and radiation approximated as a perfect fluid. The dust and radiation are necessarily non-comoving…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-14 Woei Chet Lim , Marco Regis , Chris Clarkson

We consider $d$-dimensional static spacetimes in Einstein gravity with a cosmological constant in the presence of a minimally coupled massless scalar field. The spacetimes have a $(d-2)$-dimensional base manifold given by an Einstein space…

High Energy Physics - Theory · Physics 2012-06-08 Sebastian Garcia Saenz , Cristian Martinez

We consider the spherically symmetric, asymptotically flat Einstein-Vlasov system. We find explicit conditions on the initial data, with ADM mass M, such that the resulting spacetime has the following properties: there is a family of…

General Relativity and Quantum Cosmology · Physics 2011-01-24 Hakan Andreasson , Markus Kunze , Gerhard Rein

A homothetic, static, spherically symmetric solution to the massless Einstein- Klein-Gordon equations is described. There is a curvature singularity which is central, null, bifurcate and marginally trapped. The space-time is therefore…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

The occurrence of a spacetime singularity indicates the breakdown of Einstein gravitation theory in these extreme regimes. We consider here the singularity issue and various black hole paradoxes at classical and quantum levels. It is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rituparno Goswami , Pankaj S. Joshi

Recently a purportedly novel solution of the vacuum Einstein field equations was discovered: it supposedly describes an asymptotically flat twisted black hole in 4-dimensions whose exterior spacetime rotates in a peculiar manner -- the…

General Relativity and Quantum Cosmology · Physics 2017-01-24 Yen Chin Ong

The Unruh vacuum is widely used as quantum state to describe black hole evaporation since near the horizon it reproduces the physical state of a quantum field, the so called in-vacuum, in the case the black hole is formed by gravitational…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Roberto Balbinot , Alessandro Fabbri

The Einstein's linear equation of a small perturbation in a space-time with a homogeneous section of low dimension, is studied. For every harmonic mode of the horizon, there are two solutions which behave differently at large distance $r$.…

General Relativity and Quantum Cosmology · Physics 2011-01-14 Jose L. Martinez-Morales

It is shown that for small, spherically symmetric perturbations of asymptotically flat two-ended Reissner-Nordstr\"om data for the Einstein-Maxwell-real scalar field system, the boundary of the dynamic spacetime which evolves is globally…

General Relativity and Quantum Cosmology · Physics 2014-12-30 Mihalis Dafermos

The conservation law for the angular momentum in curved spacetime, consistent with relativistic quantum mechanics, requires that the antisymmetric part of the affine connection (torsion tensor) is a variable in the principle of least…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Nikodem Popławski

The Einstein-Vlasov equations govern Einstein spacetimes filled with matter which interacts only via gravitation. The matter, described by a distribution function on phase space, evolves under the collisionless Boltzmann equation,…

General Relativity and Quantum Cosmology · Physics 2019-10-29 Lars Andersson , Mikołaj Korzyński

A "temporal analogue" of the standard Poynting-Robertson effect is analyzed as induced by a dust of particles (instead of a gas of photons) surrounding a Schwarzschild black hole. Test particles inside this cloud undergo acceleration…

General Relativity and Quantum Cosmology · Physics 2018-08-20 Donato Bini , Andrea Geralico

In this paper, we investigate the gravitational collapse to form the black hole in the acceleratingly expanding universe in the frame of Einstein--Gauss-Bonnet theory having two scalar fields and we study the propagation of the…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Shin'ichi Nojiri , G. G. L. Nashed

We present an anisotropic cosmological model based on a new exact solution of Einstein equations. The matter content consists of an anisotropic scalar field minimally coupled to gravity and of two isotropic perfect fluids that represent…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Saulo Carneiro , Guillermo A. Mena Marugan

We consider three dimensional Einstein gravity non-minimally coupled to a real scalar field with a self-interacting scalar potential and present the exact black hole formation in three dimensions. Firstly we obtain an exact time-dependent…

High Energy Physics - Theory · Physics 2014-10-23 Wei Xu