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We construct a model of gravity in 1+1 spacetime dimensions in which the solutions approach the Schwarzschild metric at large $r$ and de Sitter space far inside the horizon. Our model may be viewed as a two dimensional application of the…

High Energy Physics - Theory · Physics 2009-10-22 M. Trodden , V. Mukhanov , R. Brandenberger

This paper is devoted to an investigation of Euclidean wormholes made by fuzzy instantons. We investigate the Euclidean path integral in anti-de Sitter space. In Einstein gravity, we introduce a scalar field with a potential. Because of the…

General Relativity and Quantum Cosmology · Physics 2018-06-19 Subeom Kang , Dong-han Yeom

We prove that a generalized Schwarzschild-like ansatz can be consistently employed to construct $d$-dimensional static vacuum black hole solutions in any metric theory of gravity for which the Lagrangian is a scalar invariant constructed…

General Relativity and Quantum Cosmology · Physics 2020-02-20 Sigbjørn Hervik , Marcello Ortaggio

We find a class of five-dimensional Einstein-Maxwell type Lagrangians which contains the bosonic Lagrangians of vector multiplets as a subclass, and preserves some features of supersymmetry, namely the existence of multi-centered black hole…

High Energy Physics - Theory · Physics 2009-11-09 Thomas Mohaupt , Kirk Waite

We consider cosmological and black hole solutions in the Einstein and higher-derivative gravity in two dimensions where the theory is formulated first in $D$ dimensions. In the limit that $D$ tends to $2$ with simultaneous singular…

High Energy Physics - Theory · Physics 2020-08-26 Shin'ichi Nojiri , Sergei D. Odintsov

Static, spherically symmetric solutions of the field equations for a particular dimensional continuation of general relativity with negative cosmological constant are studied. The action is, in odd dimensions, the Chern-Simons form for the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Maximo Banados , Claudio Teitelboim , Jorge Zanelli

We give a complete classification of supersymmetric gravitational instantons in Euclidean N=2 supergravity coupled to vector multiplets. An interesting class of solutions is found which corresponds to the Euclidean analogue of stationary…

High Energy Physics - Theory · Physics 2015-06-11 J. B. Gutowski , W. A. Sabra

Einstein gravity minimally coupled to a self-interacting scalar field is investigated in the static and isotropic situation. We explicitly construct in partially closed form a new black-hole solution with exponentially decaying scalar hair.…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Olaf Bechmann , Olaf Lechtenfeld

Using a confining potential, we consider spherically symmetric vacuum (static black hole) solutions in a brane-world scenario. Working with a constant curvature bulk, two interesting cases/solutions are studied. A Schwarzschild-de Sitter…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Heydari-Fard , H. Razmi , H. R. Sepangi

The emptiness formation problem is addressed for a one-dimensional quantum polytropic gas characterized by an arbitrary polytropic index $\gamma$, which defines the equation of state $P \sim \rho^\gamma$, where $P$ is the pressure and…

Statistical Mechanics · Physics 2025-04-09 Alexander G. Abanov , Dimitri M. Gangardt

In the de Sitter-invariant approach to gravitation, all solutions to the gravitational field equations are spacetimes that reduce locally to de Sitter. Consequently, besides including an event horizon, the de Sitter-invariant black hole…

General Relativity and Quantum Cosmology · Physics 2025-09-10 D. F. López , S. Abarghouei Nejad , José G. Pereira

We study higher dimensional gravitational collapse to topological black holes in two steps. Firstly, we construct some (n+2)-dimensional collapsing space-times, which include generalised Lemaitre-Tolman-Bondi-like solutions, and we prove…

General Relativity and Quantum Cosmology · Physics 2010-02-17 Filipe C. Mena , Jose Natario , Paul Tod

We study the static black hole solutions of generalized two-dimensional dilaton-gravity theories generated by pointlike mass sources, in the hypothesis that the matter is conformally coupled. We also discuss the motion of test particles.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Melis , S. Mignemi

In this paper, we present three exact solutions to the Einstein field equations, each illustrating different black hole models. The first solution introduces a black hole with a variable equation of state, $P = k(r)\rho$, which can…

General Relativity and Quantum Cosmology · Physics 2025-01-03 Vitalii Vertogradov , Ali Övgün

In quantizing classical mechanical systems one often sums over the classical trajectories as in localization formulas, but also takes into account the contributions of the "instanton gas": a set of approximate solutions of the equations of…

High Energy Physics - Theory · Physics 2020-04-07 Nikita Nekrasov

By considering 5--dimensional cosmological models with a bulk filled with a pressureless scalar field; equivalently dust matter, and a negative cosmological constant, we have found a regular instantonic solution which is free from any…

High Energy Physics - Theory · Physics 2014-11-18 M. Bouhmadi-Lopez , P. F. Gonzalez-Diaz , A. Zhuk

Since the Brans-Dicke theory is conformal related to the dilaton gravity theory, by applying a conformal transformation to the dilaton gravity theory, we derived the cosmological constant term in the Brans-Dicke theory and the physical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. J. Gao , S. N. Zhang

We study the conditions for 2-dimensional dilaton gravity models to have dynamical formation of black holes and construct all such models. Furthermore we present a parametric representation of the general solutions of the black holes.

General Relativity and Quantum Cosmology · Physics 2014-11-17 T. Futamase , M. Hotta , Y. Itoh

Astrophysical black holes arise as exact solutions of the Einstein field equations. Therefore, any alternative, such as a gravastar, must satisfy the same level of mathematical rigor and internal consistency. A physically viable gravastar…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Farook Rahaman , Bikramarka S. Choudhury , Aritra Sanyal , Anikul Islam , Bidisha Samanta

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
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