Journal
PHYSICAL REVIEW LETTERS
Volume 105, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.105.011101
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Funding
- BIPAC
- Alma-Conicyt [31080001]
- Fondecyt [1060648]
- J. S. Guggenheim Memorial Foundation
- Science and Technology Facilities Council [ST/F003110/1] Funding Source: researchfish
- STFC [ST/F003110/1] Funding Source: UKRI
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We resurrect Eddington's proposal for the gravitational action in the presence of a cosmological constant and extend it to include matter fields. We show that the Newton-Poisson equation is modified in the presence of sources and that charged black holes show great similarities with those arising in Born-Infeld electrodynamics coupled to gravity. When we consider homogeneous and isotropic space-times, we find that there is a minimum length (and maximum density) at early times, clearly pointing to an alternative theory of the big bang. We thus argue that the modern formulation of Eddington's theory, Born-Infeld gravity, presents us with a novel, nonsingular description of the Universe.
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