Gravitational perfect fluid collapse in f(R) gravity

Abstract

In this paper, we investigate spherically symmetric perfect fluid gravitational collapse in metric f (R) gravity. We take non-static spherically symmetric metric in the interior region and static spherically symmetric metric in the exterior region of a star. The junction conditions between interior and exterior spacetimes are derived. The field equations in f (R) theory are solved using the assumption of constant Ricci scalar. Inserting their solution into junction conditions, the gravitational mass is found. Further, the apparent horizons and their time of formation is discussed. We conclude that the constant scalar curvature term f (R 0 ) acts as a source of repulsive force and thus slows down the collapse of matter. The comparison with the corresponding results available in general relativity indicates that f (R 0 ) plays the role of the cosmological constant.

Gravitational collapse inf(R) theories

“…Hence, g(ψ) as defined in (22) will be also first order at least. By substituting the series expansions (22) and (23) in expression (19) until first order in ε, we find that equation (19) becomes…”

Gravitational Dust Collapse in f (R) Gravity

“…Sharif and Abbas [38] studied the dynamics of shearfree dissipative gravitational collapse in f (G) gravity. Spherically symmetric perfect fluid gravitational collapse has been discussed in metric f (R) gravity by Sharif and Kausar [39]. Cembranos et al [40] analyzed a general f (R) model with uniformly collapsing cloud of self-gravitating dust particles.…”

Spherical Symmetric Gravitational Collapse in Chern-Simon Modified Gravity

“…The modified EFE's are used to find the solutions for the particular choice of the scalar field Θ. The obtained solutions are compatible with the existing solutions, available in literature, in the framework of GR [7]- [14] and f(R) [23,24] gravities.…”

“…Sharif and Abbas [23] investigated the dynamics of shearfree dissipative gravitational collapse in f(G) gravity. Spherically symmetric perfect fluid gravitational collapse has been analyzed in metric f(R) gravity in [24]. In [25], a general f(R) model with uniformly collapsing cloud of self-gravitating dust particles has been examined.…”