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Eddington-inspired Born-Infeld gravity: Phenomenology of nonlinear gravity-matter coupling

Paolo Pani1, Térence Delsate1,2, and Vitor Cardoso1,3

  • 1CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade Técnica de Lisboa—UTL, Av. Rovisco Pais 1, 1049 Lisboa, Portugal
  • 2Theoretical and Mathematical Physics Dept.,Université de Mons, UMons, 20, Place du Parc 7000 Mons, Belgium
  • 3Department of Physics and Astronomy, The University of Mississippi, University, Mississippi 38677, USA

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Phys. Rev. D 85, 084020 – Published 19 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.084020

Abstract

Viable corrections to the matter sector of Poisson’s equation may result in qualitatively different astrophysical phenomenology, for example, the gravitational collapse and the properties of compact objects can change drastically. We discuss a class of modified nonrelativistic theories and focus on a relativistic completion, Eddington-inspired Born-Infeld gravity. This recently proposed theory is equivalent to General Relativity in vacuum, but its nontrivial coupling to matter prevents singularities in early cosmology and in the nonrelativistic collapse of noninteracting particles. We extend our previous analysis, discussing further developments. We present a full numerical study of spherically symmetric nonrelativistic gravitational collapse of dust. For any positive coupling, the final state of the collapse is a regular pressureless star rather than a singularity. We also argue that there is no Chandrasekhar limit for the mass of a nonrelativistic white dwarf in this theory. Finally, we extend our previous results in the fully relativistic theory by constructing static and slowly rotating compact stars governed by nuclear-physics inspired equations of state. In the relativistic theory, there exists an upper bound on the mass of compact objects, suggesting that black holes can still be formed in the relativistic collapse.

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Phys. Rev. D 85, 084020– Published 19 April, 2012
  • Received 17 January 2012

© 2012 American Physical Society

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