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We consider a spherically symmetric stellar model in general relativity whose interior consists of a pressureless fluid undergoing microscopic velocity diffusion in a cosmological scalar field. We show that the diffusion dynamics compel the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Artur Alho , Simone Calogero

Repulsive interactions between neutrons in compact stellar cores cause luminosity and a steady outflow of hydrogen from stellar surfaces. Neutron repulsion in more massive compact objects made by gravitational collapse produces violent,…

Nuclear Theory · Physics 2007-05-23 O. Manuel , Michael Mozina , Hilton Ratcliffe

We apply the principle of energy conservation to the motion of the test particle in gravitational field by requiring that its energy, gained by gravitation, has to be balanced by decrease of its rest mass. Due to the change of mass in…

Astrophysics · Physics 2007-05-23 V. Majernik

A new model is proposed to a collapsing star consisting of an initial inhomogeneous energy density and anisotropic pressure fluid with shear, radial heat flow and outgoing radiation. In previous papers one of us has always assumed an…

General Relativity and Quantum Cosmology · Physics 2014-06-03 G. Pinheiro , R. Chan

In the framework of the Theory of General Relativity, models of stars with an unusual equation of state $\rho c^2<0$, $P>0$ where $\rho$ is the mass density and $P$ is the pressure, are constructed. These objects create outside themselves…

General Relativity and Quantum Cosmology · Physics 2018-10-03 I. D. Novikov , G. S. Bisnovatyi-Kogan , D. I. Novikov

The frozen star is a non-singular, ultracompact object that, to an external observer, looks exactly like a Schwarzschild black hole, but with a different interior geometry and matter composition. The frozen star needs to be sourced by an…

High Energy Physics - Theory · Physics 2024-04-25 Ram Brustein , A. J. M. Medved

We study the threshold of gravitational collapse in spherically symmetric spacetimes governed by the Einstein-Maxwell-Vlasov equations. We numerically construct solutions describing a collapsing distribution of charged matter that either…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William E. East

In the supercritical range of the polytropic indices $\gamma\in(1,\frac43)$ we show the existence of smooth radially symmetric self-similar solutions to the gravitational Euler-Poisson system. These solutions exhibit gravitational collapse…

Analysis of PDEs · Mathematics 2022-11-30 Yan Guo , Mahir Hadzic , Juhi Jang , Matthew Schrecker

We model the gravitational behaviour of a radiating star when the exterior geometry is the generalised Vaidya spacetime. The interior matter distribution is shear-free and undergoing radial heat flow. The exterior energy momentum tensor is…

General Relativity and Quantum Cosmology · Physics 2015-06-12 S. D. Maharaj , G. Govender , M. Govender

In this paper we present a non-singular black hole model as a possible end-product of gravitational collapse. The depicted spacetime which is type [II,(II)], by Petrov classification, is an exact solution of the Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Manasse R. Mbonye , Demosthenes Kazanas

This paper provides an extended exploration of the inverse-chirp gravitational-wave signals from stellar collapse in massive scalar-tensor gravity reported in [Phys. Rev. Lett. {\bf 119}, 201103]. We systematically explore the parameter…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Roxana Rosca-Mead , Ulrich Sperhake , Christopher J. Moore , Michalis Agathos , Davide Gerosa , Christian D. Ott

I present an elementary primer of black hole physics, including its general relativity basis, all peppered with astrophysical illustrations. Following a brief review of the process stellar collapse to a black hole, I discuss the…

Astrophysics · Physics 2007-05-23 Jacob D. Bekenstein

Several classes of conformally-flat and spherically symmetric exact solutions to the Einstein field equations coupled with either a massless scalar field or a radiation fluid are given, and their main properties are studied. It is found…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang , J. F. Villas da Rocha , N. O. Santos

We study spherical and disk clusters in a near-Keplerian potential of galactic centers or massive black holes. In such a potential orbit precession is commonly retrograde, i.e. direction of the orbit precession is opposite to the orbital…

Astrophysics · Physics 2008-11-26 E. V. Polyachenko , V. L. Polyachenko , I. G. Shukhman

The gravitational collapse of a star is an important issue both for general relativity and astrophysics, which is related to the well known "frozen star" paradox. This paradox has been discussed intensively and seems to have been solved in…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Yuan Liu , Shuang Nan Zhang

We numerically investigate the motion of stars on the meridional plane of an axially symmetric disk galaxy model, containing a central supermassive black hole, represented by the Paczynski-Wiita potential. By using this pseudo-Newtonian…

Astrophysics of Galaxies · Physics 2021-08-12 Euaggelos E. Zotos , F. L. Dubeibe , André F. Steklain , Tareq Saeed

We consider the periapsis shifts of bound orbits of stars on static clouds around a black hole. The background spacetime is constructed from a Schwarzschild black hole surrounded by a static and spherically symmetric self-gravitating system…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Takahisa Igata , Tomohiro Harada , Hiromi Saida , Yohsuke Takamori

We investigate the time evolution of the redshift of the spectrum of electromagnetic radiation that is emitted by the star that moves in the vicinity of supermassive black hole. For the case of Schwarzschild black hole we solve this problem…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Stanislav Komarov , Alexander Gorbatsievich

In a static gravitational field an intersection of a worldline by a global hypersurface of simultaneity t=const gives an invariant constraint relating the proper time of this event by t. Since at any finite t the such constrained proper…

General Physics · Physics 2012-10-09 Zahid Zakir

We consider a scenario of the gravitational collapse of the Oppenheimer-Snyder dust cloud with spatially constant matter density. Given a closed two-surface within the star, three versions of the quasi-local energy are investigated. We show…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Xiaokai He , Naqing Xie
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