Research PaperNo Access

Dynamics of perfect fluid collapse in $f (𝒢, T)$ gravity

M. Sharif

http://orcid.org/0000-0001-6845-3506

Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan

E-mail Address: msharif.math@pu.edu.pk

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and

M. Zeeshan Gul

Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan

E-mail Address: zeeshangul371@gmail.com

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https://doi.org/10.1142/S0218271819500548Cited by:21 (Source: Crossref)

Abstract

This paper investigates the dynamics of perfect fluid spherical collapse in curvature-matter coupled gravity. Using Darmois junction conditions, we derive smooth matching of both interior and exterior regions. The dynamical equations are formulated through Misner–Sharp formalism that give the collapse rate for both general and constant curvature terms. Finally, we formulate a relationship between correction terms, Weyl scalar and matter variables. For constant value of $f (𝒢, T)$ , it is found that the metric is conformally flat if and only if energy density of the collapsing system is homogeneous while the positive correction terms decrease the collapse rate.

Keywords:

PACS: 04.50.Kd, 95.36.+x

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