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Dynamics of perfect fluid collapse in f(š¯’¢,T) gravity

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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… Click to show full 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 Misnerā€“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 [Formula: see text], 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: perfect fluid; collapse gravity; dynamics perfect; collapse; fluid collapse

Journal Title: International Journal of Modern Physics D
Year Published: 2019

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