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In this paper, we study the dynamics of a hollow spherical matter collapsing with very large initial velocity. The spacetime is initially very similar to the Vaidya solution, and the deviations from this background are treated…

General Relativity and Quantum Cosmology · Physics 2009-01-27 Zahid Ahmad , Tomohiro Harada , Ken-ichi Nakao , M. Sharif

We consider here the genericity aspects of spacetime singularities that occur in cosmology and in gravitational collapse. The singularity theorems (that predict the occurrence of singularities in general relativity) allow the singularities…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pankaj S. Joshi

The global visibility of a singularity as an end state of the gravitational collapse of a spherically symmetric pressureless cloud is investigated. We show the existence of a non-zero measured set of parameters: the total mass and the…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Karim Mosani , Dipanjan Dey , Pankaj S. Joshi

We study gravitational waves in viable $f(R)$ theories under a non-zero background curvature. In general, an $f(R)$ theory contains an extra scalar degree of freedom corresponding to a massive scalar mode of gravitational wave. For viable…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Louis Yang , Chung-Chi Lee , Chao-Qiang Geng

We investigate the unhindered gravitational collapse of a homogeneous scalar field with nonzero potential, a two-dimensional analog of the Mexican hat-shaped Higgs field potential. The collapsing scalar field is surrounded by an exterior…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Karim Mosani , Dipanjan Dey , Kaushik Bhattacharya , Pankaj S. Joshi

The effects which quantum fields and an $\alpha_0 R^2$ term in the gravitational Lagrangian have on future singularities are investigated. While all values of $\alpha_0$ are considered, an emphasis is placed on those values which are…

General Relativity and Quantum Cosmology · Physics 2017-08-24 Eric D. Carlson , Paul R. Anderson , John R. Einhorn , Bradley Hicks , Andrew J. Lundeen

We study black holes produced by the collapse of a spherically symmetric charged scalar field in asymptotically flat space. We employ a late time expansion and show decaying fluxes of radiation through the event horizon imply the black hole…

General Relativity and Quantum Cosmology · Physics 2019-12-03 Paul M. Chesler , Ramesh Narayan , Erik Curiel

We classify singularities in FRW cosmologies, which dynamics can be reduced to the dynamical system of the Newtonian type. This classification is performed in terms of geometry of a potential function if it has poles. At the sewn…

General Relativity and Quantum Cosmology · Physics 2017-09-29 Aleksander Stachowski , Marek Szydlowski , Andrzej Borowiec

We perform a full Hamiltonian constraint analysis of pure Ricci-scalar-squared ($R^2$) gravity to clarify recent controversies regarding its particle spectrum. While it is well established that the full theory consistently propagates three…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Will Barker , Dražen Glavan

The closed-universe recollapse conjecture is studied for a class of closed spherically symmetric spacetimes which includes those having as a matter source: (1) a massless scalar field; (2) a perfect fluid obeying the equation of state $\rho…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Gregory A. Burnett

We consider gravitational collapse of a sphere of a fluid with torsion generated by spin, which forms a black hole. We use the Tolman metric and the Einstein$-$Cartan field equations with a relativistic spin fluid as a source. We show that…

General Relativity and Quantum Cosmology · Physics 2023-09-22 Nikodem Popławski

Self-similar solutions of a collapsing perfect fluid and a massless scalar field with kinematic self-similarity of the first kind in 2+1 dimensions are obtained. Their local and global properties of the solutions are studied. It is found…

General Relativity and Quantum Cosmology · Physics 2009-02-11 F. I. M. Pereira , R. Chan

We study the spherical collapse of an over-density of a barotropic fluid with linear equation of state in a cosmological background. Fully relativistic simulations are performed by using the Baumgarte-Shibata-Shapiro-Nakamura formalism…

General Relativity and Quantum Cosmology · Physics 2021-04-15 François Staelens , Jérémy Rekier , André Füzfa

Extended gravitational models have gained large attention in the last couple of decades. In this work, we examine the solution space of vacuum, static, and spherically symmetric spacetimes within $F(R)$ theories, introducing novel methods…

General Relativity and Quantum Cosmology · Physics 2024-11-11 Cristobal Laporte , Agustín Silva

Consider any 1-parameter family of initial data such that data with parameter value p > p* form black holes, and data with p < p* do not. As p -> p* from above ("critical collapse"), the black hole mass scales as M ~ (p-p*)^gamma, where the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carsten Gundlach , Jose M. Martin-Garcia

The gravitational collapse of a spherically symmetric massive core of a star in which the fluid component is interacting with a growing vacuum energy density filling a FLRW type geometry with an arbitrary curvature parameter is…

General Relativity and Quantum Cosmology · Physics 2013-03-05 E. L. D. Perico , J. A. S. Lima , M. Campos

Gravitational collapse is still poorly understood in the context of $f(R)$ theories of gravity, since the Oppenheimer-Snyder model is incompatible with their junction conditions. In this work, we will present a systematic approach to the…

General Relativity and Quantum Cosmology · Physics 2022-05-02 Adrián Casado-Turrión , Álvaro de la Cruz-Dombriz , Antonio Dobado

We have constructed a spherically symmetric structure model in a cosmological background filled with perfect fluid with non-vanishing pressure as an exact solution of Einstein equations using the Lema\^{i}tre solution. To study its local…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Rahim Moradi , Javad T. Firouzjaee , Reza Mansouri

Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's…

General Relativity and Quantum Cosmology · Physics 2014-03-06 Ovidiu Cristinel Stoica

The widely discussed ``black-bounce'' mechanism of removing a singularity at $r=0$ in a spherically symmetric space-time, proposed by Simpson and Visser, consists in removing the point $r=0$ and its close neighborhood, resulting in…

General Relativity and Quantum Cosmology · Physics 2024-05-16 S. V. Bolokhov , K. A. Bronnikov , M. V. Skvortsova
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