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

被引：27
作者：
Govender, Megandhren [1 ]
Mewalal, Narenee [1 ]
Hansraj, Sudan [2 ]
机构：
[1] Durban Univ Technol, Fac Sci Appl, Dept Math, Durban, South Africa
[2] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Astrophys & Cosmol Res Unit, Private Bag X54001, ZA-4000 Durban, South Africa
来源：
EUROPEAN PHYSICAL JOURNAL C | 2019年 / 79卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
COLLAPSE; INSTABILITY;
D O I：
10.1140/epjc/s10052-019-6534-9
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
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 pr= 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.
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页数：8
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