Bouncing Cosmologies From Born–Infeld‐Type Gravity
Yermek Aldabergenov, Wei Lin, Rongjian Li, Ding Ding, Yidun WanABSTRACT
We construct a Born–Infeld‐type modification of gravity, where is the Gauss–Bonnet term, by embedding Born–Infeld electrodynamics in a five‐dimensional pure modified gravity. This method leads to the correspondence between curvature scalars and electromagnetic field strength scalars – and – allowing us to replicate the structure of Born–Infeld electrodynamics in the gravitational sector. The resulting Born–Infeld‐type gravity is a ghost‐free theory which reduces to Einstein gravity in the low‐energy limit. In this work, we focus on bouncing cosmological solutions of such a theory, which require positive spatial curvature. By using both the Jordan and Einstein frame analyses, we find a vast space of bouncing solutions with different asymptotic behaviors, including solutions with multiple bounces grouped together. Observational consequences of such solutions will be investigated in the future.