2025/02/06 by Andreas Lymperis, Lymperis, Andreas, Gulgassyl Nugmanova +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2502.04462
openalex publication_date 2025/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.