Gravitationally collapsing stars in $f(R)$ gravity

Abstract

The gravitational dynamics of a collapsing matter configuration which is simultaneously radiating heat flux is studied in $f(R)$ gravity. Three particular functional forms in $f(R)$ gravity are considered to show that it is possible to envisage boundary conditions such that the end state of the collapse has a weak singularity and that the matter configuration radiates away all of its mass before collapsing to reach the central singularity.

arXiv comment23 pages, 35 figures

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• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Spherical doubly warped spacetimes for radiating stars and cosmology
• Black Holes with Electric and Magnetic Charges in $F(R)$ Gravity
• Non-linear density-velocity dynamics in $f(R)$ gravity from spherical collapse
• Effects of electromagnetic field on a radiating star
• Freezing lakes as analogue models of $\Lambda$CDM cosmology and beyond