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

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...

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Published in:arXiv.org 2024-04
Main Authors: Myrzakul, T, Yesmakhanova, K, Myrzakulov, N, Myrzakul, S, Myrzakulov, K, Yerzhanov, K, Myrzakulov, R, Nugmanova, G
Format: Article
Language:English
Subjects:
Curvature
Gravitation
Online Access:Get full text
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Summary: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 \(F(R,T)=\alpha R+\beta T+\mu Q+\nu{\cal T}\) 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.
ISSN:2331-8422