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arXiv · 2101.05318

Metric-affine Myrzakulov gravity theories with Gauss-Bonnet and boundary term scalars

T. Myrzakul·K. Yesmakhanova·N. Myrzakulov·S. Myrzakul·K. Myrzakulov·K. Yerzhanov·R. Myrzakulov·G. Nugmanova
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Abstract

In this paper, we consider some metric-affine Myrzakulov gravity (MG) theories with Gauss-Bonnet scalars. Also we consider the MG theories with the boundary term scalars. Note that these MG theories with the Gauss-Bonnet and boundary term scalars were proposed in [arXiv:1205.5266]. Some examples of Metric-Affine Gravity (MAG) theories are reviewed in the context of the $F(R,T,Q,{\cal T}, {\cal D})$ type models. Then the generalized MAG theory with the curvature, torsion and nonmetricity (the so-called MG-VIII) was studied. For the FRW spacetime case, in particular, the Lagrangian, Hamilatonian and gravitational equations are obtained. The particular case $F(R,T)=αR+βT+μQ+ν{\cal T}$ is investigated in detail. In quantum case, the corresponding Wheeler-DeWitt equation is obtained. Finally, some gravity theories with the curvature, torsion and nonmetricity are presented.

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T. Myrzakul, K. Yesmakhanova, N. Myrzakulov, S. Myrzakul, K. Myrzakulov, K. Yerzhanov, R. Myrzakulov, G. Nugmanova. 2024-04-28. Metric-affine Myrzakulov gravity theories with Gauss-Bonnet and boundary term scalars. https://arxiv.org/abs/2101.05318

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