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A type of Born-Infeld regular gravity and its cosmological consequences

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arxiv 0904.1767 v1 pith:MTN6SVZN submitted 2009-04-10 gr-qc

classification gr-qc
keywords born-infeldgeneralgravityparameterrelativityteleparallelteleparallelismapplied
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Born-Infeld deformation strategy to smooth theories having divergent solutions is applied to the teleparallel equivalent of General Relativity. The equivalence between teleparallelism and General Relativity is exploited to obtain a deformed theory of gravity based on second order differential equations, since teleparallel Lagrangian is built just from first derivatives of the vierbein. We show that Born-Infeld teleparallelism cures the initial singularity in a spatially flat FRW universe; moreover, it provides a natural inflationary stage without resorting to an inflaton field. The Born-Infeld parameter bounds the dynamics of Hubble parameter H(t) and establishes a maximum attainable spacetime curvature.

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  1. Rotating and non-rotating AdS black holes in $f({\cal T})$ gravity non-linear electrodynamics

    gr-qc 2019-08 conditional novelty 4.0 of 10

    New charged AdS black hole solutions are constructed for quadratic f(T) gravity with a specific nonlinear electrodynamics source, generalizing earlier Maxwell solutions and producing entropy that deviates from the area law.

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