On Born-Infeld Gravity in Three Dimensions
Mohsen Alishahiha, Ali Naseh, Hesam Soltanpanahi
TL;DR
This paper investigates three-dimensional Born-Infeld and Born-Infeld-Chern-Simons gravity models, analyzing their vacuum solutions and the presence of logarithmic solutions, revealing differences in their solution spaces and critical behavior.
Contribution
It provides a comparative analysis of Born-Infeld and Born-Infeld-Chern-Simons gravity in three dimensions, highlighting their vacuum solutions and critical phenomena.
Findings
Both models have AdS and AdS-wave solutions.
Born-Infeld-Chern-Simons admits logarithmic solutions.
Born-Infeld gravity lacks logarithmic solutions but approaches a critical point with a limiting logarithmic solution.
Abstract
In this paper we explore different aspects of three dimensional Born-Infeld as well as Born-Infeld-Chern-Simons gravity. We show that the models have AdS and AdS-wave vacuum solutions. Moreover we observe that although Born-Infeld-Chern-Simons gravity admits a logarithmic solution, Born-Infeld gravity does not, though it has a limiting logarithmic solution as we approach the critical point.
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