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Using the cut-and-paste procedure, we construct static and dynamic plane symmetric wormholes by surgically grafting together two spacetimes of plane symmetric vacuum solutions with a negative cosmological constant. These plane symmetric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 José P. S. Lemos , Francisco S. N. Lobo

The time independent spherically symmetric solutions of General Relativity (GR) coupled to a dynamical unit timelike vector are studied. We find there is a three-parameter family of solutions with this symmetry. Imposing asymptotic flatness…

General Relativity and Quantum Cosmology · Physics 2010-02-05 Christopher Eling , Ted Jacobson

We investigate gravitational collapse of a spherically symmetric thin shell in the Einstein-Gauss-Bonnet (EGB) gravity. Under the recently proposed 4D limit, we find that the collapsing shell will be bounced back at a small radius, without…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Yong-Ming Huang , Yu Tian , Xiao-Ning Wu

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta

A new class of solutions of the Einstein field equations in spherical symmetry is found. The new solutions are mathematically described as the metrics admitting separation of variables in area-radius coordinates. Physically, they describe…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Roberto Giambo' , Fabio Giannoni , Giulio Magli , Paolo Piccione

We discuss the structure of a gravitational euclidean instanton obtained through coupling of gravity to electromagnetism. Its topology at fixed $t$ is $S^1\times S^2$. This euclidean solution can be interpreted as a tunnelling to a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 M. Cavaglia' V. de Alfaro , F. de Felice

We derive field equations of Gauss-Bonnet gravity in 4 dimensions after dimensional reduction of the action and demonstrate that in this scenario Vainshtein mechanism operates in the flat spherically symmetric background. We show that…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Radouane Gannouji , M. Sami

We present a new cubic theory of gravity in five dimensions which has second order traced field equations, analogous to BHT new massive gravity in three dimensions. Moreover, for static spherically symmetric spacetimes all the field…

General Relativity and Quantum Cosmology · Physics 2011-01-27 Julio Oliva , Sourya Ray

The aim of this paper is to report on the existence of a wide variety of exact solutions, ranging from black holes to wormholes, when a conformally coupled scalar field with a self interacting potential containing a linear, a cubic and a…

High Energy Physics - Theory · Physics 2015-06-03 Andres Anabalon , Adolfo Cisterna

We consider plane symmetric gravitational fields within the framework of General Relativity in (D+1)-dimensional spacetime. Two classes of vacuum solutions correspond to higher-dimensional generalizations of the Rindler and Taub spacetimes.…

General Relativity and Quantum Cosmology · Physics 2024-10-22 R. M. Avagyan , T. A. Petrosyan , A. A. Saharian , G. H. Harutyunyan

Recently, Ba\~{n}ados, Teitelboim and Zanelli (BTZ) \cite{BTZ1992} has discovered an explicit vacuum solution of (2+1)-dimensional gravity with negative cosmological constant. It has been argued that the existence of such physical systems…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Farook Rahaman , A. Banerjee , I. Radinschi

Inspired by the Lifshitz gravity as a theory with anisotropic scaling behavior, we suggest a new $(n+1)-$dimensional metric in which the time and spatial coordinates scale anisotropically as $(t,r,\theta_{i})\,\to…

General Relativity and Quantum Cosmology · Physics 2022-12-06 S. Mahmoudi , Kh. Jafarzade , S. H. Hendi

In this article we study the mechanical stability of spherically symmetric thin shells with charge, in Einstein-Maxwell and Einstein-Born-Infeld theories. We analyze linearized perturbations preserving the symmetry, for shells around vacuum…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Ernesto F. Eiroa , Claudio Simeone

Local solutions are a vivid and long-living topic in gravitational physics. We consider exact static pseudo-spherically symmetric solutions of semi-classical Einstein's equations in presence of the trace anomaly contribution. We investigate…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Marco Calzá , Alessandro Casalino , Lorenzo Sebastiani

It is proved that all thin-shell wormholes built from two identical regions of vacuum static, spherically symmetric space-times have a negative shell surface energy density in any scalar-tensor theory of gravity with a non-ghost massless…

General Relativity and Quantum Cosmology · Physics 2009-07-22 Kirill A. Bronnikov , Alexei A. Starobinsky

We outline the class of globally regular spherically symmetric solutions to the minimally coupled GR equations asymptotically de Sitter in the origin and asymptotically Schwarzschild at infinity. A source term connects smoothly de Sitter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Irina Dymnikova

Wormholes are non-trivial topological structures that arise as exact solutions to Einstein's field equations, theoretically connecting distinct regions of spacetime via a throat-like geometry. While static traversable wormholes necessarily…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Mahdi Kord Zangeneh , Francisco S. N. Lobo

We consider thin spherical shells of matter in both Newtonian gravity and general relativity, and examine their equilibrium configurations and dynamical stability. Thin-shell models are admittedly a poor substitute for realistic stellar…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Philip LeMaitre , Eric Poisson

Lovelock gravity consisting of the dimensionally continued Euler densities is a natural generalization of general relativity to higher dimensions such that equations of motion are still second order, and the theory is free of ghosts. A…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Sushant G. Ghosh , Sunil D. Maharaj , Dharmanand Baboolal , Tae-Hun Lee

Certain exact solutions of the Einstein field equations over nonsimply-connected manifolds are reviewed. These solutions are spherically symmetric and have no curvature singularity. They provide a regularization of the standard…

General Relativity and Quantum Cosmology · Physics 2015-06-17 F. R. Klinkhamer