Gravitational collapse in $(2+1)$-dimensional Eddington-inspired Born-Infeld gravity

Abstract

We study here the gravitational collapse of dust in $(2+1)$-dimensional spacetimes for the formation of black holes (BH) and naked singularities (NS) as final states in a modified theory of gravity, with vanishing cosmological constant. From the perspective of cosmic censorship, we investigate the collapse of a dust cloud in Eddington-inspired Born-Infeld gravity (EiBI) and compare the results with those of general relativity (GR). It turns out that, as opposed to the general relativistic situation, where the outcome of dust collapse in $(2+1)$ dimensions is always a naked singularity, the EiBI theory has a certain range of parameter values that avoid the naked singularity. This indicates that a $(3+1)$-dimensional generalization of these results could be useful and worth examining. Finally, using the results here, we show that the singularity avoidance through homogeneous bounce in cosmology in this modified gravity is not stable.

16 pages, 3 figures, revised version, published in Phys. Rev. D

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• Overcharging black holes and cosmic censorship in Eddington-inspired Born-Infeld gravity
• Anisotropic deformations in a class of projectively-invariant metric-affine theories of gravity
• Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity
• Gravitational Collapse without Singularity Formation in Brans-Dicke Theory
• Charged black holes in Eddington-inspired Born-Infeld gravity: An in-depth analysis of the structure of spacetime geometry