Dynamics of dissipative self-gravitating source in Rastall gravity

Author:

Tahir M.1,Abbas G.2,Bamba Kazuharu3,Shahzad M. R.4

Affiliation:

1. Department of Mathematics, Government Degree College Mailsi, Mailsi 61200, Pakistan

2. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan

3. Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima 960-1296, Japan

4. Department of Mathematics, Bahauddin Zakariya University, Multan Sub-Campus Vehari, Vehari 61100, Pakistan

Abstract

The dynamics of dissipative gravitational collapse of a source is explored in Rastall gravity. The field equations are derived for the geometry and collapsing matter. The dynamical equations are formulated for the heat flux and diffusion approximation. The heat transportation equation is derived by using Müller–Israel–Stewart approach to investigate the effects of heat flux on the collapsing source. Moreover, an equation is found by combining the dynamical and heat transport equation, the consequences of this equation are discussed in detail. Furthermore, the Rastall parameter [Formula: see text] effect is analyzed for the collapse of sphere.

Funder

JSPS KAKENHI

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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