Singular and nonsingular features of Eddington inspired Born-Infeld Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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5 pages, 2 figures

Scientific paper

We formulate the Eddington inspired Born-Infeld theory recently reintroduced by Banados and Ferreira in a form of an Einstein equation for the auxiliary metric. In the case of a perfect fluid, the source seen by the auxiliary metric is exactly a perfect fluid with an (apparently) modified equation of state. This drastically simplifies the theory by decoupling the auxiliary metric equation, whose solutions are formally identical to general relativistic ones. This further exhibits explicitly a degeneracy between modification of gravity and modification of equations of state. We discuss observational consequences of this degeneracy and argue that such a completion of General Relativity is viable from both an experimental and theoretical point of view (in the sense that it does not contain more instabilities than General Relativity). Finally we reveal the mechanism of singularity avoidance in the cosmological context and argue that similar regularization should occur for black hole formation. An analogous treatment of sources other than perfect fluids seems possible.

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