
Using the Teleparallel Equivalent of General Relativity formulated in Weitzenb��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.
8 pages, 1 figure. Accepted for publication in Phys. Rev. D
High Energy Physics - Theory, SINGULARITIES, BLACK HOLE, High Energy Physics - Theory (hep-th), BORN-INFELD, https://purl.org/becyt/ford/1.3, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), https://purl.org/becyt/ford/1, General Relativity and Quantum Cosmology
High Energy Physics - Theory, SINGULARITIES, BLACK HOLE, High Energy Physics - Theory (hep-th), BORN-INFELD, https://purl.org/becyt/ford/1.3, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), https://purl.org/becyt/ford/1, General Relativity and Quantum Cosmology
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