The regular cosmic string in Born-Infeld gravity

Abstract

It is shown that Born-Infeld gravity --a high energy deformation of Einstein gravity-- removes the singularities of a cosmic string. The respective vacuum solution results to be free of conical singularity and closed timelike curves. The space ends at a minimal circle where the curvature invariants vanish; but this circle cannot be reached in a finite proper time.

4 pages, submitted to Proceedings of Spanish Relativity Meeting 2010 (ERE2010, Granada, Spain)

References in corpus (8)

• Modified teleparallel gravity: inflation without inflaton
• On Born-Infeld Gravity in Weitzenbock spacetime
• Eddington's theory of gravity and its progeny
• A bird's eye view of f(R)-gravity
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Cited by in corpus (10)

• Born-Infeld gravity and its functional extensions
• Quest for the extra degree of freedom in f(T) gravity
• Born-Infeld-$f(R)$ gravity
• Cosmic strings in $f\left(R,L_m\right)$ gravity
• Little Rip, $\Lambda$CDM and singular dark energy cosmology from Born-Infeld-$f(R)$ gravity
• Cylindrical solutions in Mimetic gravity
• Cascading dust inflation in Born-Infeld gravity
• Cosmic string in gravity's rainbow
• Nonsingular black holes in Palatini extensions of General Relativity
• Exploring Self-Gravitating Cylindrical Structures in Modified Gravity: Insights from Scalar-Vector-Tensor Theory