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Eddington's theory of gravity and its progeny · Around

2010

Eddington's theory of gravity and its progeny

Banados, Maximo, Ferreira, Pedro G.

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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, non-singular description of the Universe.

Built on

M. Born and L. Infeld, Proc. Roy. Soc. A144
1934
Earlier work this paper cites.
A.S. Eddington, The Mathematical Theory of Relativity, Cambridge University Press (1924); E. Schrodinger, Spacetime Structure, Cambridge University Press (1950)
1950
Earlier work this paper cites.
M. Demianski, Found. Phys. 16
1986
Earlier work this paper cites.

Similar

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1995
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S. Deser and G. W. Gibbons, Class. Quant. Grav. 15
1998
Cited alongside, same era.
If the Hessian δ 2 I / δ g μ ν δ g α β \delta^{2}I/\delta g_{\mu\nu}\delta g_{\alpha\beta} is not invertible then this step is not possible. For example, for a massless free boson in flat space the equation of motion is R μ ν = ∂ μ ϕ ∂ ν ϕ R_{\mu\nu}=\partial_{\mu}\phi\partial_{\nu}\phi which does not depend on the metric. These are isolated cases
Cited in the paper.
T. P. Sotiriou and V. Faraoni, arXiv:0805.1726 [gr-qc]
Original
Cited in the paper.

Then

D. N. Vollick, Phys. Rev. D 69
2005
Later among the works it cites.
M. Ferraris and J. Kijowski, Letters in Mathematical Physics, 5 127-135, (1981); N. Poplawski, Int.J.Mod.Phys.D18:809-829 (2009); Found.Phys.39:307-330 (2009)
2009
Later among the works it cites.
D. Comelli and A. Dolgov, JHEP 0411
Original
2009
Later among the works it cites.

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