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arXiv · 2212.07204

Cosmological implications of Born-Infeld-$f(R)$ gravity

Salih Kibaroğlu·Emilio Elizalde
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Abstract

A modified Born-Infeld gravitation theory with a $f\left(R\right)$ function being added to the determinant action is analyzed from a cosmological viewpoint. The corresponding accelerating dynamics are studied in a simplified conformal approach without matter. Three different structures for the auxiliary metric function are analyzed, with the aim to establish a deeper understanding of the role of this function in cosmology. After performing the analysis, it is seen that, by modifying the auxiliary metric function, a Big Rip singularity or either a Little Rip dark energy model may arise.

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Salih Kibaroğlu, Emilio Elizalde. 2022-12-14. Cosmological implications of Born-Infeld-$f(R)$ gravity. https://doi.org/10.1142/s0218271823500128

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