Born-Infeld gravity in Weitzenbock spacetime

RAFAEL FERRARO AND FRANCO FIORINI

PHYSICAL REVIEW D - PARTICLE AND FILDS

Año: 2008 vol. 78 p. 124019 - 124026

0556-2821

Using the Teleparallel Equivalent of General Relativity formulatedin Weitzenb"{o}ck spacetime, we thoroughly explore a kind ofBorn-Infeld regular gravity leading to second order fieldequations for the vielbein components. We explicitly solve theequations of motion for two examples: the extended BTZ black hole,which results to exist even if the cosmological constant ispositive, and a cosmological model with matter, where the scalefactor results to be well behaved, giving so a singularity-freesolution.