In EiBI gravity, spherical collapse yields lower linear thresholds, higher turnaround and virial overdensities, and modestly smaller turnaround radii than in ΛCDM, with effects increasing with the coupling κ̂_BI.
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abstract
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, non-singular description of the Universe.
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Born-Infeld electrogravity yields a fundamental extremal dyonic black hole in the small-charge limit whose mass and horizon area depend only on the Born-Infeld constant, Newton’s constant, and the speed of light.
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.
A comprehensive review of modified gravity theories and their cosmological consequences, including a parameterized post-Friedmannian formalism for constraining deviations from General Relativity.
citing papers explorer
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Studying spherical collapse and its implications in the Eddington-inspired Born-Infeld gravity theory
In EiBI gravity, spherical collapse yields lower linear thresholds, higher turnaround and virial overdensities, and modestly smaller turnaround radii than in ΛCDM, with effects increasing with the coupling κ̂_BI.
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Born-Infeld Electrogravity and Dyonic Black Holes
Born-Infeld electrogravity yields a fundamental extremal dyonic black hole in the small-charge limit whose mass and horizon area depend only on the Born-Infeld constant, Newton’s constant, and the speed of light.
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Testing General Relativity with Present and Future Astrophysical Observations
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.
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Modified Gravity and Cosmology
A comprehensive review of modified gravity theories and their cosmological consequences, including a parameterized post-Friedmannian formalism for constraining deviations from General Relativity.