On Born-Infeld Gravity in Weitzenbock spacetime
Abstract
Using the Teleparallel Equivalent of General Relativity formulated in Weitzenb\"ock 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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