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Metric-Affine Version of Myrzakulov $F(R,T,Q, {\cal T})$ Gravity and Cosmological Applications

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arxiv 2106.05083 v1 pith:AEHVKDM6 submitted 2021-06-09 gr-qc hep-th

Damianos Iosifidis , Nurgissa Myrzakulov , Ratbay Myrzakulov This is my paper · ORCID
classification gr-qchep-th
keywords cosmologicalequationsconsidergravitymetric-affinemodelmyrzakulovnon-metricity
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abstract

We derive the full set of field equations for the Metric-Affine version of the Myrzakulov gravity model and also extend this family of theories to a broader one. More specifically, we consider theories whose gravitational Lagrangian is given by $F(R,T,Q, {\cal T},{\cal D})$ where $T$, $Q$ are the torsion and non-metricity scalars, ${\cal T}$ is the trace of the energy-momentum tensor and ${\cal D}$ the divergence of the dilation current. We then consider the linear case of the aforementioned theory and assuming a cosmological setup we obtain the modified Friedmann equations. In addition, focusing on the vanishing non-metricity sector and considering matter coupled to torsion we obtain the complete set of equations describing the cosmological behaviour of this model along with solutions.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

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

    gr-qc 2025-01 reject novelty 4.0 of 10

    In Myrzakulov F(R,T) gravity, free connection functions can be chosen to produce matter-bounce backgrounds with a scale-invariant scalar power spectrum.

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