https://doi.org/10.1140/epjc/s10052-019-6534-9
Regular Article - Theoretical Physics
The role of an equation of state in the dynamical (in)stability of a radiating star
1
Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, Durban, South Africa
2
Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa
* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
11
December
2018
Accepted:
2
January
2019
Published online:
14
January
2019
Abstract
The influence of an equation of state on the dynamical (in)stability of a sphere undergoing dissipative collapse is investigated for various forms of matter distributions. Employing a perturbative scheme we study the collapse of an initially static star described by the interior Schwarzschild solution. As the star starts to collapse it dissipates energy in the form of a radial heat flux to the exterior spacetime described by the Vaidya solution. By imposing a linear equation of state of the form 
on the perturbed radial pressure and density we obtain the complete gravitational behaviour of the collapsing star. We analyse the stability of the collapsing star in both the Newtonian as well as the post-Newtonian approximations.
© The Author(s), 2019
