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The inner structure of a star or a primordial interstellar cloud is a major topic in classical and relativistic physics. The impact that General Relativistic principles have on this structure has been the subject of many research papers. In…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Mayer Humi , John Roumas

We have constructed star models consisting of four parts: (i) a homogeneous inner core with anisotropic pressure (ii) an infinitesimal thin shell separating the core and the envelope; (iii) an envelope of inhomogeneous density and isotropic…

General Relativity and Quantum Cosmology · Physics 2012-10-25 R. Chan , M. F. A. da Silva , J. F. Villas da Rocha

We solve Einstein equations coupled to a complex scalar field with infinitely large self-interaction, degenerate fermions, and a negative cosmological constant in $(2+1)$ dimensions. Exact solutions for static boson-fermion stars are found…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Kenji Sakamoto , Kiyoshi Shiraishi

In this paper, we investigate the topological photon sphere from two distinct perspectives. In the first view, we examine the existence and characteristics of topological photon(anti-photon)spheres for black holes with different structures,…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Jafar Sadeghi , Mohammad Ali S. Afshar

The relativistic equations of hydrostatic equilibrium for a spherically symmetric star, or the Tolman-Oppenheimer-Volkoff equations are known in higher dimensions. In this paper, these equations have been expressed in terms of parameters of…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Manjari Bagchi

Contents: 1) Introduction and a few excursions [A word on the role of explicit solutions in other parts of physics and astrophysics. Einstein's field equations. "Just so" notes on the simplest solutions: The Minkowski, de Sitter and anti-de…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiri Bicak

Starting from the Oppenheimer-Snyder solution for gravitational collapse, we show by putting it into the harmonic coordinates, for which the distant Riemann metric is galilean, that the final state of collapse for a collapsed star of any…

General Relativity and Quantum Cosmology · Physics 2011-04-01 Trevor W. Marshall

Recently, an analytical solution in Einstein-aether theory was presented explicitly in isotropic coordinates. It is characterized by a mass parameter $m$ and a combined coupling constant $c_{14}$. By a coordinate transformation, we verify…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Yanni Zhu , Towe Wang

We include matter sources in Einstein's field equations and show that our recently proposed 3+1 evolution scheme can stably evolve strong-field solutions. We insert in our code known matter solutions, namely the Oppenheimer-Volkoff solution…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thomas W. Baumgarte , Scott A. Hughes , Stuart L. Shapiro

A complex scalar field on a charged black hole in a cavity is known to experience a superradiant instability. We investigate possible final states of this instability. We find hairy black hole solutions of a fully coupled system of Einstein…

General Relativity and Quantum Cosmology · Physics 2015-11-18 Supakchai Ponglertsakul , Sam Dolan , Elizabeth Winstanley

In this paper we will discuss charged stars with polytropic equation of state, where we will try to derive an equation analogous to the Lane-Emden equation. We will assume that these stars are spherically symmetric, and the electric field…

Astrophysics · Physics 2009-11-10 Rodrigo Picanco , Manuel Malheiro , Subharthi Ray

The study of the properties and dynamics of self-gravitating bosonic objects in Einstein gravity was conducted. We studied self-coupled boson stars and determined the quasinormal mode (QNM) frequencies of stable boson stars in spherical…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Jayashree Balakrishna

We present spherically symmetric solutions to Einstein's equations which are equivalent to canonical Schwarzschild and Reissner-Nordstrom black holes on the exterior, but with singular (Planck-density) shells at their respective event and…

High Energy Physics - Theory · Physics 2019-02-27 David E. Kaplan , Surjeet Rajendran

The aim of this paper is to evaluate the energy distribution of some 2+1 black hole solutions applying the Landau-Lifshitz and Weinberg definitions. The metrics under consideration describe the charged black hole, the solution coupling to a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. Radinschi , I-Ching Yang

In this paper, we discuss the existence of ghost star models in the Einstein-Maxwell framework. In order to explore these objects, we put forward the idea of Zeldovich and Novikov by keeping in mind that the energy density of such models…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Tayyab Naseer , K. Hassan , M. Sharif

The present paper has the purpose to illustrate the importance of the ideas and constructions of the Non-Euclidean (Lobachevsky) Geometry, which can be applied even today for solving some conceptually important problems. We study the static…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Kozyrev

We study the effect of electric charge in compact stars assuming that the charge distribution is proportional to the mass density. The pressure and the density of the matter inside the stars are large, and the gravitational field is…

In this report the exact rotating charged black hole solution to the Einstein--nonlinear electrodynamics theory with a cosmological constant is presented. This black hole is equipped with mass, rotation parameter, electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Alberto A. García Díaz

According to the Einstein, Weinberg, and M{\o}ller energy-momentum complexes, we evaluate the energy distribution of the singularity-free solution of the Einstein field equations coupled to a suitable nonlinear electrodynamics suggested by…

General Relativity and Quantum Cosmology · Physics 2011-08-24 I-Ching Yang , Chi-Long Lin , Irina Radinschi

The photon sphere, a hypersurface of null circular geodesics, plays a fundamental role in characterizing black hole spacetimes, influencing phenomena such as black hole shadows, gravitational lensing, and quasinormal modes. In this work, we…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Yong Song , Jiaqi Fu , Yiting Cen
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