Metric-affine Myrzakulov gravity theories with Gauss-Bonnet and boundary term scalars
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arXiv
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| Auteurs principaux: | , , , , , , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866910425069649920 |
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| author | Myrzakul, T. Yesmakhanova, K. Myrzakulov, N. Myrzakul, S. Myrzakulov, K. Yerzhanov, K. Myrzakulov, R. Nugmanova, G. |
| author_facet | Myrzakul, T. Yesmakhanova, K. Myrzakulov, N. Myrzakul, S. Myrzakulov, K. Yerzhanov, K. Myrzakulov, R. Nugmanova, G. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_05318 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Metric-affine Myrzakulov gravity theories with Gauss-Bonnet and boundary term scalars Myrzakul, T. Yesmakhanova, K. Myrzakulov, N. Myrzakul, S. Myrzakulov, K. Yerzhanov, K. Myrzakulov, R. Nugmanova, G. General Relativity and Quantum Cosmology 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. |
| title | Metric-affine Myrzakulov gravity theories with Gauss-Bonnet and boundary term scalars |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2101.05318 |