On Born-Infeld Gravity in Weitzenbock spacetime

Abstract

Using the Teleparallel Equivalent of General Relativity formulated in Weitzenböck 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

References in corpus (3)

• Violation of the Equivalence Principle in Modified Theories of Gravity
• The roots of scalar-tensor theory: an approximate history
• Non-singular inflation with vacuum decay

Cited by in corpus (2)

• Dark torsion as the cosmic speed-up
• Stability of the Einstein static universe in presence of vacuum energy