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The 2+1-dimensional geodesic circularly symmetric solutions of Einstein-massless-scalar field equations with negative cosmological constant are found and their local and global properties are studied. It is found that one of them represents…

General Relativity and Quantum Cosmology · Physics 2010-11-19 R. Chan , M. F. A. da Silva , Jaime F. Villas da Rocha

In this paper, we find some new exact solutions to the Einstein-Gauss-Bonnet equations. First, we prove a theorem which allows us to find a large family of solutions to the Einstein-Gauss-Bonnet gravity in $n$-dimensions. This family of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alfredo E. Dominguez , Emanuel Gallo

A four-dimensional static Schwarzschild-like solution obtained in [3]-[6] in the frames of the Einstein-Gauss-Bonnet gravity at the Kaluza-Klein split is analyzed. The matter in these solutions is created by auxiliary dimensions. The main…

General Relativity and Quantum Cosmology · Physics 2016-01-07 S. O. Alexeyev , B. N. Latosh , A. N. Petrov

This study explores the effect of charge on a special astronomical object known as a gravastar, which is viewed as an alternative to a black hole. Based on the conjecture put out by Mazur and Mottola in general relativity, the study…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Faisal Javed , Arfa Waseem , G. Mustafa , Fairouz Tchier , Farruh Atamurotov , Bobomurat Ahmedov , Ahmadjon Abdujabbarov

The double copy of the Coulomb solution in three dimensions is a non-vacuum solution that can be obtained through different matter couplings. It is the static black hole solution of Einstein-Maxwell theory or general relativity minimally…

High Energy Physics - Theory · Physics 2022-08-17 Gokhan Alkac , Mehmet Kemal Gumus , Mehmet Ali Olpak

In this work we present an approximate solution of the Einstein equations describing a global model for the gravitational field generated by a bounded, self-gravitating stationary and axisymmetric body rotating rigidly with constant angular…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Martin-Martin , A. Molina , E. Ruiz

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

Gravastars are considered as one of the prime exotic type compact objects which may be found at the end state of gravitational collapse of massive stars with a view to resolve the complexities that are pertinent in case of a black hole…

General Relativity and Quantum Cosmology · Physics 2024-08-22 Debadri Bhattacharjee , Pradip Kumar Chattopadhyay

In general relativity, the Einstein equations provide spherically symmetric static spacetimes with dynamics defined as an evolution along the radial coordinate $r$. The geometrical sector becomes a one-dimensional mechanical system, with…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Etera R. Livine , Yuki Yokokura

A widespread solution-generating technique of general relativity consists of conformally transforming known `seed' solutions. It is shown that these new solutions always solve the field equations of a pathological Brans-Dicke theory.…

General Relativity and Quantum Cosmology · Physics 2019-09-10 Fayçal Hammad , Dilek K. Çiftci , Valerio Faraoni

We construct a novel exact solution of the Einstein-scalar-Maxwell equations describing a dynamical black hole immersed in an external, time-dependent electromagnetic field. Motivated by the need for more realistic analytical black hole…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Jibril Ben Achour , Adolfo Cisterna , Amaro Díaz , Keanu Müller

In this paper, we present a framework for getting a series of exact vacuum solutions to the Einstein equation. This procedure of resolution is based on a canonical form of the metric. According to this procedure, the Einstein equation can…

General Physics · Physics 2007-10-01 Ying-Qiu Gu

This article, written to appear as a chapter in "The Springer Handbook of Spacetime", is a review of the initial value problem for Einstein's gravitational field theory in general relativity. Designed to be accessible to graduate students…

General Relativity and Quantum Cosmology · Physics 2015-06-15 James Isenberg

We investigate possible end-points of the superradiant instability for a charged black hole with a reflecting mirror. By considering a fully coupled system of gravity and a charged scalar field, hairy black hole solutions are obtained. The…

General Relativity and Quantum Cosmology · Physics 2016-01-13 Supakchai Ponglertsakul , Sam Dolan , Elizabeth Winstanley

In this paper we obtain topological static solutions of some kind of pure $F(R)$ gravity. The present solutions are two kind: first type is uncharged solution which corresponds with the topological (a)dS Schwarzschild solution and second…

High Energy Physics - Theory · Physics 2015-03-18 S. H. Hendi , B. Eslam Panah , S. M. Mousavi

We study the three dimensional Einstein gravity conformally coupled to a scalar field. Solutions of this theory are geometries with vanishing scalar curvature. We consider solutions with a constant scalar field which corresponds to an…

High Energy Physics - Theory · Physics 2012-11-08 M. Hasanpour , F. Loran , H. Razaghian

The "black-bounce" spacetime geometries, were recently proposed in [A. Simpson, M. Visser, JCAP 02 (2019) 042] as regular black holes that bouncing into a future incarnation of the universe. In this work we will present several black-bounce…

General Relativity and Quantum Cosmology · Physics 2022-07-29 Pedro Cañate

In this article a new stationary cylindrically symmetric solution of the Einstein's field equations with cosmological constant and Time machine is given. The garavitational field is created by ideal liquid with three massless scalar fields…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Elena V. Palesheva

An approximate analytical and non-linear solution of the Einstein field equations is derived for a system of multiple non-rotating black holes. The associated space-time has the same asymptotic structure as the Brill-Lindquist initial data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Faye , P. Jaranowski , G. Schaefer

We propose a new model of a {\it gravastar} admitting conformal motion. While retaining the framework of the Mazur-Mottola model, the gravastar is assumed to be internally charged, with an exterior defined by a Reissner-Nordstr{\"o}m rather…

General Relativity and Quantum Cosmology · Physics 2011-06-06 A A Usmani , Farook Rahaman , Saibal Ray , K K Nandi , Peter K. F. Kuhfittig , Sk. A Rakib , Z Hasan
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