scholarly journals Collapse of a radiating star revisited

1988 ◽  
Vol 231 (4) ◽  
pp. 1011-1018 ◽  
Author(s):  
A. K. G. de Oliveira ◽  
C. A. Kolassis ◽  
N. O. Santos
Keyword(s):  
Radiating Star

scholarly journals Lie Symmetries for a Conformally Flat Radiating Star

2013 ◽  
Vol 52 (9) ◽  
pp. 3244-3254 ◽  
Author(s):  
G. Z. Abebe ◽  
K. S. Govinder ◽  
S. D. Maharaj
Keyword(s):  
Lie Symmetries ◽  
Conformally Flat ◽  
Radiating Star

scholarly journals Charged radiating stars with Lie symmetries

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
G. Z. Abebe ◽  
S. D. Maharaj
Keyword(s):  
Electromagnetic Field ◽  
Differential Equations ◽  
Equations Of State ◽  
Lie Symmetries ◽  
Boundary Equation ◽  
Symmetries Of Differential Equations ◽  
Radiating Stars ◽  
Barotropic Equation ◽  
Radiating Star ◽  
General Relativistic

Abstract We consider the general model of an accelerating, expanding and shearing radiating star in the presence of charge. Using a new set of variables arising from the Lie symmetries of differential equations we transform the boundary equation into ordinary differential equations. We present several new exact models for a charged gravitating sphere. A particular family of solution may be interpreted as a generalised Euclidean star in the presence of the electromagnetic field. This family admits a linear barotropic equation of state. In the uncharged limit, we regain general relativistic stellar models where proper and areal radii are equal, and its generalisations. Our group theoretical approach selects the physically important cases of Euclidean stars and equations of state.

scholarly journals Quasi-spherical solution with heat flux and non-adiabatic collapse of radiating star

2005 ◽  
Vol 37 (1) ◽  
pp. 215-223 ◽  
Author(s):  
Ujjal Debnath ◽  
Soma Nath ◽  
Subenoy Chakraborty
Keyword(s):  
Heat Flux ◽  
Radiating Star

scholarly journals THERMAL EVOLUTION OF A RADIATING ANISOTROPIC STAR WITH SHEAR

2006 ◽  
Vol 15 (07) ◽  
pp. 1053-1065 ◽  
Author(s):  
N. F. NAIDU ◽  
M. GOVENDER ◽  
K. S. GOVINDER
Keyword(s):  
Heat Flux ◽  
Relaxation Time ◽  
Heat Dissipation ◽  
Thermal Evolution ◽  
Spherically Symmetric ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Pressure Anisotropy ◽  
Radiating Star ◽  
Anisotropic Star

We study the effects of pressure anisotropy and heat dissipation in a spherically symmetric radiating star undergoing gravitational collapse. An exact solution of the Einstein field equations is presented in which the model has a Friedmann-like limit when the heat flux vanishes. The behavior of the temperature profile of the evolving star is investigated within the framework of causal thermodynamics. In particular, we show that there are significant differences between the relaxation time for the heat flux and the relaxation time for the shear stress.

NON-ADIABATIC GRAVITATIONAL COLLAPSE OF A SUPERDENSE STAR

2010 ◽  
Vol 19 (12) ◽  
pp. 1889-1904 ◽  
Author(s):  
SANJAY SARWE ◽  
RAMESH TIKEKAR
Keyword(s):  
Black Hole ◽  
Heat Flow ◽  
Gravitational Collapse ◽  
Adiabatic Shear ◽  
Dissipative Forces ◽  
Superdense Stars ◽  
Superdense Star ◽  
Radiating Star ◽  
Spheroidal Geometry ◽  
Relativistic Equations

The relativistic equations governing the non-adiabatic shear-free collapse of massive superdense stars in the presence of dissipative forces producing heat flow in the background of space–times of the Vaidya–Tikekar ansatz with associated physical three-spaces that have the three-spheroidal geometry are formulated. It is shown how the system can be used to examine the development and progress of the collapse during subsequent epochs until the radiating star becomes a black hole.

The Gravitational Field of a Radiating Star

1999 ◽  
Vol 31 (1) ◽  
pp. 121-135 ◽  
Author(s):  
P. C. Vaidya
Keyword(s):  
Gravitational Field ◽  
Radiating Star

scholarly journals The role of an equation of state in the dynamical (in)stability of a radiating star

2019 ◽  
Vol 79 (1) ◽  
Author(s):  
Megandhren Govender ◽  
Narenee Mewalal ◽  
Sudan Hansraj
Keyword(s):  
Equation Of State ◽  
Radiating Star
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