Correspondence between Myrzakulov $F(R,Q)$ gravity and Tsallis cosmology
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913682771935232 |
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| author | Lymperis, Andreas Nugmanova, Gulgassyl Sergazina, Almira |
| author_facet | Lymperis, Andreas Nugmanova, Gulgassyl Sergazina, Almira |
| contents | We investigate the correspondence between Myrzakulov $F(R,Q)$ gravity and Tsallis cosmology. The former is a modified gravity that uses both curvature and nonmetricity, while the latter is a modified cosmology arising from the gravity-thermodynamics conjecture, employing Tsallis entropy instead of the Bekenstein-Hawking one. By appropriately identifying the functional dependencies and the model parameters, we demonstrate that both frameworks can give identical background evolution, reproducing the standard cosmological sequence of matter and dark energy domination. However, their perturbation behavior exhibits differences, since the growth of density fluctuations and the effective Newton constant deviate between the two scenarios, indicating that perturbative observables, such as structure formation and weak-lensing ones, could serve as distinguishing factors between them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04462 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Correspondence between Myrzakulov $F(R,Q)$ gravity and Tsallis cosmology Lymperis, Andreas Nugmanova, Gulgassyl Sergazina, Almira General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics We investigate the correspondence between Myrzakulov $F(R,Q)$ gravity and Tsallis cosmology. The former is a modified gravity that uses both curvature and nonmetricity, while the latter is a modified cosmology arising from the gravity-thermodynamics conjecture, employing Tsallis entropy instead of the Bekenstein-Hawking one. By appropriately identifying the functional dependencies and the model parameters, we demonstrate that both frameworks can give identical background evolution, reproducing the standard cosmological sequence of matter and dark energy domination. However, their perturbation behavior exhibits differences, since the growth of density fluctuations and the effective Newton constant deviate between the two scenarios, indicating that perturbative observables, such as structure formation and weak-lensing ones, could serve as distinguishing factors between them. |
| title | Correspondence between Myrzakulov $F(R,Q)$ gravity and Tsallis cosmology |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2502.04462 |