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Non-singular bounce solutions in Myrzakulov $f(R,T)$ gravity

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arxiv 2501.18524 v1 pith:H52FQT4K submitted 2025-01-30 gr-qc astro-ph.CO

Andreas Lymperis , Gulgassyl Nugmanova , Almira Sergazina This is my paper · ORCID
classification gr-qcastro-ph.CO
keywords bounceconnectiongravitymyrzakulovablebackgroundcalculatechoose
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abstract

We investigate the realization of a nonsingular bounce within the framework of Myrzakulov \( F(R,T) \) gravity. This modified gravitational theory uses a non-special connection that combines both curvature and torsion, giving rise to an effective sector that can easily satisfy the violation of the null energy condition. We suitably choose the functions that parametrize the connection in order to be able to produce simple and matter bounce scale factors at the background level. Finally, we examine the evolution of scalar perturbations through the bounce using the Mukhanov-Sasaki formalism, and we calculate the power spectrum.

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  1. Correspondence between Myrzakulov $F(R,Q)$ gravity and Tsallis cosmology

    gr-qc 2025-02 conditional novelty 5.0 of 10

    With a specific choice of connection functions, Myrzakulov F(R,Q) gravity and Tsallis cosmology produce identical background expansion but different growth of density perturbations.

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