The final state of gravitational collapse in Eddington-inspired Born-Infeld theory

Abstract

In this paper, we address the implications when a homogeneous dust model is considered for a scenario of gravitational collapse in the context of Eddington-inspired Born-Infeld (EiBI) theory. In order to describe the dynamical evolution of the collapse, we present an effective equation, which constitutes the first order corrections, in EiBI coupling parameter $\kappa$, to Einstein's field equations. The geometry outside the collapsing object is derived by imposing the standard Darmois-Israel junction conditions at the boundary surface of the dust. This induces an effective matter source in the outer region which gives rise to a non-singular, non-Schwarzschild geometry at the final state of the collapse. For this exterior geometry, we find the threshold of mass for the formation of the black hole. This provides a cut-off over $\kappa$ as $|\kappa |=5.1\times 10^{-97}k{g}^{-1}\cdot m^3$.

10 pages, 3 figures, Version accepted in Annalen der Physik

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• Gravitational waves in braneworlds after multi-messenger events
• Exploring the cosmic censorship conjecture with a Gauss-Bonnet sector
• Global models of collapsing scalar field: endstate
• Radiating Spherical Collapse for an Inhomogeneous Interior Solution
• Dynamical cosmologies in Eddington-inspired-Born-Infeld theory
• Role of Gauss-Bonnet corrections in a DGP brane gravitational collapse