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This paper deals with the spherically symmetric self-gravitating star which is considered to be expansion free dissipative perfect fluids distribution. Some recent research reveals that expansion free dynamical star must be accelerating and…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Rajesh Kumar , S. K. Srivastava

We study the geometrical and dynamical features of expansion-free dynamical stars in general relativity. Such stars can exist only if particular physical and geometric conditions are satisfied. Firstly, for trapping to exist in an…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Abbas Sherif , Rituparno Goswami , Sunil D. Maharaj

Extending a previous work by the same authors, we investigate the existence of expansion-free dynamical stars with non-zero spatial twist and rotation and show that such stars cannot exist. Firstly, it is shown that a rotating…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Abbas Sherif , Rituparno Goswami , Sunil D. Maharaj

We review a series of recent results on global dynamic properties of radially symmetric self-gravitating compressible Euler flows, which naturally arise in the mathematical description of stars. We focus on the role of scaling invariances…

Analysis of PDEs · Mathematics 2023-06-06 Mahir Hadzic

We examine the role of space-time geometry in the non-adiabatic collapse of a star dissipating energy in the form of radial heat flow, studying its evolution under different initial conditions. The collapse of a star with interior…

General Relativity and Quantum Cosmology · Physics 2013-04-30 R. Sharma , R. Tikekar

A model is proposed of a collapsing quasi-spherical radiating star with matter content as shear-free isotropic fluid undergoing radial heat-flow with outgoing radiation. To describe the radiation of the system, we have considered both plane…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ujjal Debnath , Soma Nath , Subenoy Chakraborty

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

We investigate the evolution of the surface of radiating stars by studying the asymptotic behaviour of exact solutions initiated via the stationary boundary condition. This boundary condition leads to a master equation in the form of a…

General Relativity and Quantum Cosmology · Physics 2026-03-31 R. S. Bogadi , G. Leon , M. Govender , K. S. Govinder , S. Maharaj , A. Paliathanasis

Spherically symmetric expansionfree distributions are systematically studied. The whole set of field equations and junction conditions are presented for a general distribution of dissipative anisotropic fluid (principal stresses unequal),…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Herrera , N. O. Santos , A. Wang

We model the physical behaviour at the surface of a relativistic radiating star in the strong gravity limit. The spacetime in the interior is taken to be spherically symmetrical and shear-free. The heat conduction in the interior of the…

General Relativity and Quantum Cosmology · Physics 2015-08-05 Gabriel Govender , Byron P. Brassel , Sunil D. Maharaj

In a recent paper a systematic study on shearing expansion-free spherically symmetric distributions was presented. As a particular case of such systems, the Skripkin model was mentioned, which corresponds to a nondissipative perfect fluid…

General Relativity and Quantum Cosmology · Physics 2015-05-13 L. Herrera , G. Le Denmat , N. O. Santos

Recent results from interferometry and asteroseismology require models of rapidly rotating stars that are more and more precise. We describe the basic structure and the hydrodynamics of a fully radiative star as a preliminary step towards…

Astrophysics · Physics 2007-06-13 F. Espinosa Lara , M. Rieutord

Tidal dissipation in stars is one of the key physical mechanisms that drive the evolution of binary and multiple stars. As in the Earth oceans, it corresponds to the resonant excitation of their eigenmodes of oscillation and their damping.…

Solar and Stellar Astrophysics · Physics 2015-06-23 P. Auclair-Desrotour , S. Mathis , C. Le Poncin-Lafitte

We investigate the dynamical nature of the collapse process of a spherically symmetric star in quasi-static hydrodynamical equilibrium. The star collapses from an initial static configuration by dissipating energy in the form of a radial…

General Relativity and Quantum Cosmology · Physics 2017-11-20 Megan Govender , Robert Bogadi , Ranjan Sharma , Shyam Das

We consider a relativistic radiating spherical star in conformally flat spacetimes. In particular we study the junction condition relating the radial pressure to the heat flux at the boundary of the star which is a nonlinear partial…

General Relativity and Quantum Cosmology · Physics 2014-12-23 G. Abebe , K. S. Govinder , S. D. Maharaj

We present the general properties of dynamic dissipative fluid distribution endowed with hyperbolical symmetry. All the equations required for its analysis are exhibited and used to contrast the behavior of the system with the spherically…

General Relativity and Quantum Cosmology · Physics 2022-10-05 L. Herrera

We prepare a general framework for analyzing the dynamics of a cylindrical shell in the spacetime with cylindrical symmetry. Based on the framework, we investigate a particular model of a cylindrical shell-collapse with rotational pressure,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Masafumi Seriu

In this article, we assume that a cold charged perfect fluid is constructing a spherical relativistic star. Our purpose is the investigation of the dynamical properties of its exterior geometry, through simulating the geodesic motion of a…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Mohsen Fathi

We address the question of radiation emitted from a collapsing star. We consider the simple model of a spherical star consisting of pressure-free dust and we derive the emission spectrum via a systematic asymptotic expansion of the complete…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alex Calogeracos

We study the spherically symmetric collapsing star in terms of dynamical instability. We take the framework of extended teleparallel gravity with non-diagonal tetrad, power-law form of model presenting torsion and matter distribution as…

General Relativity and Quantum Cosmology · Physics 2016-03-16 Abdul Jawad , Shamaila Rani
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