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The static, plane symmetric solutions and cylindrically symmetric solutions of Einstein-Maxwell equations with a negative cosmological constant are investigated. These black configurations are asymptotically anti-de Sitter not only in the…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Rong-Gen Cai , Yuan-Zhong Zhang

We construct de Sitter branes in a flat bulk of massive gravity in $5D$. We find two branches of solutions, reminiscent of the normal and self-accelerating branches in DGP, but with rather different properties. Neither branch has a…

High Energy Physics - Theory · Physics 2019-03-28 Nemanja Kaloper , James H. C. Scargill

The technique of dimensional reduction was used in a recent paper (Zanchin et al, Phys. Rev. D66, 064022,(2002)) where a three-dimensional (3D) Einstein-Maxwell-Dilaton theory was built from the usual four-dimensional (4D)…

General Relativity and Quantum Cosmology · Physics 2016-03-31 V. T. Zanchin , A. S. Miranda

We find a new non BPS solution in $N=2$ $D=4$ gauged supergravity coupled to $U(1)$ gauge fields and matter. It consists in a closed universe with two extremal black holes of equal size, surrounding two singularities. They have opposite…

High Energy Physics - Theory · Physics 2021-12-08 Sergio Luigi Cacciatori , Davide Astesiano

The behaviour of stationary gravitational perturbations is studied for generalised static black holes in spacetimes of greater than three dimensions, using the formulation developed by the present author and Ishibashi. For the case in which…

High Energy Physics - Theory · Physics 2009-11-10 Hideo Kodama

Flat electrical charged black holes in 5-dimensional anti-de Sitter space have been applied to the study of the phase diagram of quark matter via AdS/CFT correspondence. In such application it is argued that since the temperature of the…

High Energy Physics - Theory · Physics 2017-08-23 Yen Chin Ong

Convergence to stationary solutions in fully nonlinear parabolic systems with general nonlinear boundary conditions is shown in situations where the set of stationary solutions creates a $C^2$-manifold of finite dimension which is normally…

Analysis of PDEs · Mathematics 2014-09-10 Helmut Abels , Nasrin Arab , Harald Garcke

A quantum mechanical formulation of de Sitter cosmological spacetimes still eludes string theory. In this paper we conjecture a potentially rigorous framework in which the status of de Sitter space is the same as that of a resonance in a…

High Energy Physics - Theory · Physics 2017-03-15 Jonathan Maltz , Leonard Susskind

We construct a new static solution to the 5D Einstein-Maxwell equations describing a static black hole surrounded by a non-rotating dipole black ring. The configuration is kept in equilibrium by an external magnetic field interacting with…

High Energy Physics - Theory · Physics 2008-11-26 Stoytcho S. Yazadjiev

The embedding of a thick de Sitter 3-brane into a five-dimensional bulk is studied, assuming a scalar field with potential is present in the bulk. A class of solutions is found in closed form that can represent a thick de Sitter 3-brane…

High Energy Physics - Theory · Physics 2009-07-07 Anzhong Wang

The possible existence of (meta-) stable de Sitter vacua in string theory is of fundamental importance. So far, there are no fully stable solutions where all effects are under perturbative control. In this paper we investigate the presence…

High Energy Physics - Theory · Physics 2013-12-09 Ulf Danielsson , Giuseppe Dibitetto

We construct dynamical many-black-hole spacetimes with well-controlled asymptotic behavior as solutions of the Einstein vacuum equation with positive cosmological constant. We accomplish this by gluing Schwarzschild-de Sitter or Kerr-de…

Analysis of PDEs · Mathematics 2020-01-29 Peter Hintz

In this work, a four-dimensional cylindrical symmetric and non-static or static space-times in the backgrounds of anti-de Sitter (AdS) space with perfect stiff fluid, anisotropic fluid and electromagnetic field as the stress-energy tensor,…

General Physics · Physics 2019-06-21 Faizuddin Ahmed

We examine a spherically-symmetric class of spacetimes carrying vacuum energy, while considering the influence of an external dark energy environment represented by a non-dynamical quintessence field. Our investigation focuses on a specific…

General Relativity and Quantum Cosmology · Physics 2024-05-06 Roberto Giambò , Orlando Luongo

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

The purpose of this work is to review the status about stationary solutions of the axially symmetric Einstein-Vlasov system with a focus on open problems of both analytical and numerical nature. For the latter we emphasize that the code…

General Relativity and Quantum Cosmology · Physics 2023-10-03 E. Ames , H. Andréasson

We obtain all the stationary vacua of de Sitter space by classifying the inequivalent timelike isometries of the de Sitter group. Besides the static vacuum, de Sitter space also admits a family of rotating vacua, which we use to obtain…

High Energy Physics - Theory · Physics 2013-08-09 Maulik Parikh , Prasant Samantray

Explicit time-dependent solutions of the 10D vacuum Einstein equations are found for which spacetime is compactified on six-dimensional warped spaces. We explicitly work out an example where the internal manifold is a six-dimensional…

High Energy Physics - Theory · Physics 2014-11-18 Ishwaree P. Neupane

The theory of a massive spin-2 state on the de Sitter space -- with the mass squared equal to one sixth of the curvature -- is special for two reasons: (i) it exhibits an enhanced local symmetry; (ii) it emerges as a part of the model that…

High Energy Physics - Theory · Physics 2014-11-18 Gregory Gabadadze , Alberto Iglesias

We establish the full global non-linear stability of the Kerr-de Sitter family of black holes, as solutions of the initial value problem for the Einstein vacuum equations with positive cosmological constant, for small angular momenta, and…

Differential Geometry · Mathematics 2020-05-28 Peter Hintz , András Vasy