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Related papers: Junction Conditions and Gravitational Collapse in …

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We treat here general relativistically the issue of galaxy formation, which is a major problem in cosmology. While the current models use a top-hat collapse model, coupled with Newtonian virialization technique to balance the…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Dipanjan Dey , Prashant Kocherlakota , Pankaj S. Joshi

In the context of extended Teleparallel gravity theories, we address the issue of junction conditions required to guarantee the correct matching of different regions of spacetime. In the absence of shells/branes, these conditions turn out…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Alvaro de la Cruz-Dombriz , Peter K. S. Dunsby , Diego Saez-Gomez

Taking advantage of the conformal equivalence of f(R) theories of gravity with General Relativity coupled to a scalar field we generalize the Israel junction conditions for this class of theories by direct integration of the field…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nathalie Deruelle , Misao Sasaki , Yuuiti Sendouda

We work out the junction conditions for $f(R)$ gravity formulated in metric-affine (Palatini) spaces using a tensor distributional approach. These conditions are needed for building consistent models of gravitating bodies with an interior…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Gonzalo J. Olmo , Diego Rubiera-Garcia

In this paper, we examine gravitational collapse of matter fields in $n$-dimensional general relativity. The matter energy-momentum tensor under consideration includes dust, perfect fluids with equations of state and matter admitting bulk…

General Relativity and Quantum Cosmology · Physics 2025-05-19 Ayan Chatterjee , Suresh C. Jaryal , Akshay Kumar

We present numerical simulations in general relativity of collapsing stellar cores. Our initial model consists of a low metallicity rapidly-rotating progenitor which is evolved in axisymmetry with the latest version of our general…

Solar and Stellar Astrophysics · Physics 2015-06-17 Pablo Cerdá-Durán , Nicolas DeBrye , Miguel A Aloy , José A Font , Martin Obergaulinger

The Einstein- Gauss- Bonnet (EGB) gravity is an important modification of the Einstein theory of gravity and, for many gravitational phenomena, the Gauss- Bonnet (GB) correction term leads to drastic differences. In this paper, we study…

General Relativity and Quantum Cosmology · Physics 2022-12-05 Ayan Chatterjee , Avirup Ghosh , Suresh Jaryal

We derive a general set of acceptable junction conditions for $F(T)$ gravity via the variational principle. The analysis is valid for both the traditional form of $F(T)$ gravity theory as well as the more recently introduced Lorentz…

General Relativity and Quantum Cosmology · Physics 2017-07-31 Jesse Velay-Vitow , Andrew DeBenedictis

We present numerical-relativity simulations of spherically symmetric core collapse and compact-object formation in scalar-tensor theories of gravity. The additional scalar degree of freedom introduces a propagating monopole…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Davide Gerosa , Ulrich Sperhake , Christian D. Ott

We investigate gravitational collapse of thick shell of fluid in the isotropic homogeneous universe without radiation described by the Einstein gravity with cosmological constant. We construct analytic solutions of this kind interpolating…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Shuichi Yokoyama

Collapsing solutions in $f(R)$ gravity are restricted due to junction conditions that demand continuity of the Ricci scalar and its normal derivative across the time-like collapsing hypersurface. These are obtained via the method of…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Sandip Chowdhury , Kunal Pal , Kuntal Pal , Tapobrata Sarkar

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

We provide examples of gravitational collapse and black hole formation in AdS, either from collapsing matter shells or in analogy to the Oppenheimer-Sneider solution. We then investigate boundary properties of the corresponding states. In…

High Energy Physics - Theory · Physics 2009-11-07 Steven B. Giddings , Aleksey Nudelman

We reexamine the gravitational collapse of rotating neutron stars to black holes by new 3+1 numerical relativity simulations employing the Z4c formulation of Einstein equations, the moving puncture gauge conditions, and a conservative mesh…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Tim Dietrich , Sebastiano Bernuzzi

We discuss the occurrence of gravitational phase transitions and instabilities in a gas of self-gravitating fermions within the framework of general relativity. In the classical (nondegenerate) limit, the system undergoes a gravitational…

General Relativity and Quantum Cosmology · Physics 2020-02-11 Pierre-Henri Chavanis , Giuseppe Alberti

We study the mechanisms of the gravitational collapse of the Bose-Einstein condensate dark matter halos, described by the zero temperature time-dependent nonlinear Schr\"odinger equation (the Gross-Pitaevskii equation), with repulsive…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Tiberiu Harko

In this paper, we consider the problems of spherical gravitational collapse and accretion using a spherically symmetric, spatially homothetic spacetime, that is, as an exact solution (cqg1) of the field equations of general relativity.…

Astrophysics · Physics 2007-05-23 Sanjay M Wagh

We study the evolution of horizons of black holes in the $1+1+2$ covariant setting and investigate various properties intrinsic to the geometry of the foliation surfaces of these horizons. This is done by interpreting formulations of…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Abbas Sherif , Rituparno Goswami , Sunil Maharaj

Junction conditions for vacuum solutions in five-dimensional Einstein-Gauss-Bonnet gravity are studied. We focus on those cases where two spherically symmetric regions of space-time are joined in such a way that the induced stress tensor on…

General Relativity and Quantum Cosmology · Physics 2010-01-19 C. Garraffo , G. Giribet , E. Gravanis , S. Willison

A particular class of space-time, with a tachyon field, \phi, and a barotropic fluid constituting the matter content, is considered herein as a model for gravitational collapse. For simplicity, the tachyon potential is assumed to be of…

General Relativity and Quantum Cosmology · Physics 2013-01-23 Yaser Tavakoli , João Marto , Amir Hadi Ziaie , Paulo Vargas Moniz