English

On Born-Infeld Gravity in Weitzenbock spacetime

General Relativity and Quantum Cosmology 2009-01-08 v1 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0812.1981,
  title  = {On Born-Infeld Gravity in Weitzenbock spacetime},
  author = {Rafael Ferraro and Franco Fiorini},
  journal= {arXiv preprint arXiv:0812.1981},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T11:50:28.927Z