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We have constructed a spherically symmetric structure model in a cosmological background filled with perfect fluid with non-vanishing pressure and studied its quasi-local characteristics. This is done by using the Lema\^{i}tre solution of…

General Relativity and Quantum Cosmology · Physics 2017-12-11 Rahim Moradi , Javad T. Firouzjaee , Reza Mansouri

We study adiabatic, radial perturbations of static, self-gravitating perfect fluids within the theory of general relativity employing a new perturbative formalism. We show that by considering a radially static observer, the description of…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Paulo Luz , Sante Carloni

The self-similar spherically symmetric perfect fluid space-time with scalar function incorporating linear equation of state is studied. The investigation of gravitational collapse conditions on the space-time determines that scalar function…

General Relativity and Quantum Cosmology · Physics 2021-03-09 Sanjay B. Sarwe , Gulshan O. Makkad

We present a family of exact, singularity-free solutions describing the collapse of baryonic matter characterized by a barotropic equation of state whose coefficient $\alpha(r,v)$ varies in both radius and time. By matching these interior…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Vitalii Vertogradov , Ali Övgün , Daniil Shatov

We describe a class of exactly soluble models for gravitational collapse in spherical symmetry obtained by patching dynamical spherically symmetric exterior spacetimes with cosmological interior spacetimes. These are generalizations of the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Benjamin K. Tippett , Viqar Husain

We find a reconstruction algorithm able to generate all the static spherically symmetric interior solutions in the framework of Ho\v{r}ava gravity and Einstein-\ae ther theory in presence of anisotropic fluids. We focus for simplicity on…

General Relativity and Quantum Cosmology · Physics 2018-04-10 Daniele Vernieri , Sante Carloni

We investigate the collapse of a circularly symmetric star with outgoing radiation in ($2+1$)-dimensional anti-de Sitter spacetime. The exterior spacetime of the collapsing star is assumed to be described by the non-static generalization of…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Ranjan Sharma , Shyam Das , Farook Rahaman , Gopal Chandra Shit

A new final state of gravitational collapse is proposed. By extending the concept of Bose-Einstein condensation to gravitational systems, a cold, dark, compact object with an interior de Sitter condensate $p_{_V} = -\rho_{_V}$ and an…

General Relativity and Quantum Cosmology · Physics 2009-10-19 Pawel O. Mazur , Emil Mottola

This paper is devoted to investigate the cylindrical collapse of an anisotropic fluid in $f(R)$ gravity. For this purpose, the viscous charged anisotropic fluid dissipating energy with heat flow and shear is assumed. We use the perturbation…

General Relativity and Quantum Cosmology · Physics 2017-12-07 M. Farasat Shamir , M. Atif Fayyaz

In this paper, we investigate the numerical solutions for spherically symmetric situations in Einstein cubic gravity. In addition to the previously found black hole solutions, we uncover a new class of solutions that lack horizons. Due to…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Yong-Qiang Wang

We study Einstein gravity coupled to a massless scalar field in a static spherically symmetric space-time in four dimensions. Black hole solutions exist when the kinetic energy of the scalar field is negative, that is, for a phantom field.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , J. C. Fabris , N. Pinto-Neto , M. E. Rodrigues

In the process of protostar formation, astrophysical gas clouds undergo thermodynamically irreversible processes and emit heat and radiation to their surroundings. Due the emission of this energy one can envision an idealized situation in…

General Relativity and Quantum Cosmology · Physics 2016-11-22 Mayer Humi , John Roumas

We present new results concerning the existence of static, electrically charged, perfect fluid spheres that have a regular interior and are arbitrarily close to a maximally charged black-hole state. These configurations are described by…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Fernando de Felice , Liu Siming , Yu Yunqiang

We construct a black hole initial data for the Einstein equations with prescribed scalar curvature, or more precisely a piece of initial data contained inside the black hole. The constraints translate into a parabolic equation, with radius…

Differential Geometry · Mathematics 2012-07-12 Bernold Fiedler , Juliette Hell , Brian Smith

The collapse of marginally bound, inhomogeneous, pressureless (dust) matter, in spherical symmetry, is considered. The starting point is not, in this case, the integration of the Einstein equations from some suitable initial conditions.…

General Relativity and Quantum Cosmology · Physics 2018-04-27 Ramon Lapiedra , Juan Antonio Morales-Lladosa

In this paper, with considering the nonlinear electromagnetic field coupled to Einstein gravity, we obtain the higher dimensional slowly rotating charged black hole solutions. By use of the fact that the temperature of the extreme black…

High Energy Physics - Theory · Physics 2010-11-15 S. H. Hendi

Phase transition in spherically symmetric collapse of a massless scalar field is studied in 4-d Einstein gravity. A class of exact solutions that show the evolution of a constant incoming energy flux turned on at a point in the past null…

High Energy Physics - Theory · Physics 2007-05-23 Youngjai Kiem

We have proposed a model geometry for the interior of a regular black hole mimicker, the frozen star, whose most startling feature is that each spherical shell in its interior is a surface of infinite redshift. The geometry is a solution of…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Ram Brustein , A. J. M. Medved , Tom Shindelman , Tamar Simhon

We show that the Einstein field equations with a negative cosmological constant can admit black hole solutions whose thermodynamics coincides with that of logotropic fluids, recently investigated to heal some cosmological and astrophysical…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Salvatore Capozziello , Rocco D'Agostino , Alessio Lapponi , Orlando Luongo

Classical energy conditions are investigated in generic static and spherically symmetric spacetimes. In setups with nonconstant $g_{tt} g_{rr}$, the appearance of horizons can signal the violation of the null energy condition and the…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Zi-Liang Wang , Emmanuele Battista