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In this paper, we study the global behavior of solutions to the spherically symmetric coupled Einstein-Klein-Gordon (EKG) system in the presence of a negative cosmological constant. We prove that the Schwarzschild-AdS spacetimes (the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Gustav Holzegel , Jacques Smulevici

We study the equilibria of a self-gravitating scalar field in the region outside a reflecting barrier. By introducing a potential difference between the barrier and infinity, we create a kink which cannot decay to a zero energy state. In…

General Relativity and Quantum Cosmology · Physics 2007-05-23 W. Barreto , R. Gomez , L. Lehner , J. Winicour

The stability of black holes and solitons in d-dimensional Anti-de Sitter space-time against scalar field condensation is discussed. The resulting solutions are "hairy" black holes and solitons, respectively. In particular, we will discuss…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Betti Hartmann

Recent perturbative studies have shown the existence of long-lived, quasi-stationary configurations of scalar fields around black holes. In particular, such configurations have been found to survive for cosmological timescales, which is a…

General Relativity and Quantum Cosmology · Physics 2015-07-31 Nicolas Sanchis-Gual , Juan Carlos Degollado , Pedro J. Montero , José A. Font

The static region outside the event horizon of an asymptotically anti de Sitter black hole has a conformal timelike boundary $\mathscr{I}$ on which boundary conditions have to be imposed for the evolution of linear fields from initial data…

High Energy Physics - Theory · Physics 2017-11-22 Bernardo Araneda , Gustavo Dotti

We study gravity interacting with a special kind of QCD-inspired nonlinear gauge field system which earlier was shown to yield confinement-type effective potential (the "Cornell potential") between charged fermions ("quarks") in flat…

High Energy Physics - Theory · Physics 2015-05-30 Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva

We present fully dynamical solutions to Einstein-scalar theory in asymptotically Anti-de-Sitter spacetime with a scalar potential containing particularly rich physics. Depending on one parameter in the potential we find an especially…

High Energy Physics - Theory · Physics 2016-09-21 Umut Gürsoy , Aron Jansen , Wilke van der Schee

Recently it has been argued that in Einstein gravity Anti-de Sitter spacetime is unstable against the formation of black holes for a large class of arbitrarily small perturbations. We examine the effects of including a Gauss-Bonnet term. In…

High Energy Physics - Theory · Physics 2015-03-05 Nils Deppe , Allison Kolly , Andrew Frey , Gabor Kunstatter

Recent developments linking non-perturbative quantum gauge theories in Minkowski space to classical gravity theories in anti-de-Sitter space are reviewed at a simple level. It is suggested how these spectacular advances may be extended to…

Nuclear Theory · Physics 2009-10-31 John Ellis

A new mechanism for causing naked singularities is found in an effective superstring theory. We investigate the gravitational collapse in a spherically symmetric Einstein-Maxwell-dilaton system in the presence of a pure cosmological…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Kengo Maeda , Takashi Torii , Makoto Narita

Minkowski space is shown to be globally stable as a solution to the Einstein--Vlasov system in the case when all particles have zero mass. The proof proceeds by showing that the matter must be supported in the "wave zone", and then proving…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Martin Taylor

We numerically study the gravitational collapse of a massless scalar field with spherical symmetry in Einstein-aether theory, and show that apparent, spin-0 and dynamical universal horizons (dUHs) can be all formed. The spacetime and the…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Madhurima Bhattacharjee , Shinji Mukohyama , Mew-Bing Wan , Anzhong Wang

In this paper, we prove the nonlinear stability in exponential time of Minkowki space-time with a translation space-like Killing field. In the presence of such a symmetry, the 3 + 1 vacuum Einstein equations reduce to the 2 + 1 Einstein…

Analysis of PDEs · Mathematics 2014-12-22 Cécile Huneau

The theory of General Relativity predicts that black holes are a natural constituent of our Universe. Before a black hole binary relaxes to a final state, it undergoes damped oscillations which completely characterize the final object.…

General Relativity and Quantum Cosmology · Physics 2019-10-18 Kyriakos Destounis

We construct examples of black hole formation from regular, one-ended asymptotically flat Cauchy data for the Einstein-Maxwell-charged scalar field system in spherical symmetry which are exactly isometric to extremal Reissner-Nordstr\"om…

General Relativity and Quantum Cosmology · Physics 2024-02-16 Christoph Kehle , Ryan Unger

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

Regular (non-singular) black holes with de Sitter cores are often constructed by prescribing effective mass functions or anisotropic vacuum fluids, or by invoking phantom scalars that violate energy conditions. Constructions with canonical…

General Physics · Physics 2025-10-14 Thomas Schürmann

Backreactions are considered in a de Sitter spacetime whose cosmological constant is generated by the potential of scalar field. The leading order gravitational effect of nonlinear matter fluctuations is analyzed and it is found that the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 B. Losic , W. G. Unruh

Recent nonlinear completions of Fierz-Pauli theory for a massive spin-2 field include nonlinear massive gravity and bimetric theories. The spectrum of black-hole solutions in these theories is rich, and comprises the same vacuum solutions…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Richard Brito , Vitor Cardoso , Paolo Pani

We study the formation and stability of regular black holes by employing a thin shell approximation to the dynamics of collapsing magnetic monopoles. The core deSitter region of the monopole is matched across the shell to a…

High Energy Physics - Theory · Physics 2007-05-23 Hyunji Cho , David Kastor , Jennie Traschen
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