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arXiv 2502.04462gr-qcastro-ph.CO
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Myrzakulov $F(R,Q)$ 引力与 Tsallis 宇宙学之间的对应关系

Correspondence between Myrzakulov $F(R,Q)$ gravity and Tsallis cosmology

Andreas Lymperis, Gulgassyl Nugmanova, Almira Sergazina

AI总结:

本文证明 Myrzakulov $F(R,Q)$ 引力与 Tsallis 宇宙学在背景演化上等价,但二者在密度涨落增长和有效牛顿常数等扰动层面存在差异,可由结构形成和弱引力透镜观测加以区分。

摘要:

我们研究了 Myrzakulov $F(R,Q)$ 引力与 Tsallis 宇宙学之间的对应关系。前者是一种同时使用曲率和非度量性的修正引力理论,而后者是一种源自引力-热力学猜想的修正宇宙学,采用 Tsallis 熵代替 Bekenstein-Hawking 熵。通过适当确定函数依赖关系和模型参数,我们证明这两种框架可以给出相同的背景演化,重现物质主导和暗能量主导的标准宇宙学序列。然而,它们的扰动行为表现出差异,因为密度涨落的增长和有效牛顿常数在两种情形下发生偏离,这表明诸如结构形成和弱引力透镜等扰动观测量可以作为区分二者的判别因素。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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