Gravitational Dust Collapse in $f(R)$ Gravity
General Relativity and Quantum Cosmology
2015-07-06 v1
Abstract
This paper is devoted to investigate gravitational collapse of dust in metric gravity. We take FRW metric for the interior region while the Schwarzchild spacetime is considered for the exterior region of a star. The junction conditions have been derived to match interior and exterior spacetimes. The assumption of constant scalar curvature is used to find a solution of field equations. Gravitational mass is found by using the junction conditions. It is concluded that the constant curvature term plays the role of the cosmological constant involved in the field equations of general relativity.
Cite
@article{arxiv.1507.00904,
title = {Gravitational Dust Collapse in $f(R)$ Gravity},
author = {M. Farasat Shamir and Zahid Ahmad and Zahid Raza},
journal= {arXiv preprint arXiv:1507.00904},
year = {2015}
}
Comments
17 Pages