On Born-Infeld Gravity in Weitzenbock spacetime

Details On Born-Infeld Gravity in Weitzenbock spacetime On Born-Infeld Gravity in Weitzenbock spacetime

2008-12-10

arxiv.org/abs/0812.1981v1

Phys.Rev.D78:124019,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 1 figure. Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.78.124019

Using the Teleparallel Equivalent of General Relativity formulated in Weitzenb\"{o}ck spacetime, we thoroughly explore a kind of Born-Infeld regular gravity leading to second order field equations for the vielbein components. We explicitly solve the equations of motion for two examples: the extended BTZ black hole, which results to exist even if the cosmological constant is positive, and a cosmological model with matter, where the scale factor results to be well behaved, giving so a singularity-free solution.

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