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arXiv 1709.04442gr-qc
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非最小耦合$f(R)$理论中的重子生成

Baryogenesis in Nonminimally Coupled $f(R)$ Theories

M. P. L. P. Ramos, J. Páramos

摘要:

在引力的$f(R)$理论的背景下,我们概括了引力重子化的机制,包括曲率和物质之间的非最小耦合。在这些模型中,重子不对称性是通过Ricci标量曲率和净重子流之间的有效耦合产生的,该耦合动态地破坏了电荷共轭、宇称和时间回复(CPT)不变性。我们研究了修改后的作用泛函中存在的两个非平凡函数的特征质量标度和指数的组合,并建立了这些参数的允许区域:我们发现与广义相对论的非常小的偏差与观察到的重子不对称性一致,并导致温度与轻元素原始丰度的随后形成兼容。特别是,我们证明了一个幂律非最小耦合函数$f_2(R) \sim R^n$与$ 0 < n \lesssim 0.078 $的可行性,并确定其特征曲率尺度。

英文摘要:

We generalize the mechanism for gravitational baryogensis in the context of $f(R)$ theories of gravity, including a nonminimal coupling between curvature and matter. In these models, the baryon asymmetry is generated through an effective coupling between the Ricci scalar curvature and the net baryon current that dynamically breaks Charge Conjugation, Parity and Time Reversal (CPT) invariance. We study the combinations of characteristic mass scales and exponents for both non-trivial functions present in the modified action functional and establish the allowed region for these parameters: we find that very small deviations from General Relativity are consistent with the observed baryon asymmetry and lead to temperatures compatible with the subsequent formation of the primordial abundances of light elements. In particular, we show the viability of a power-law nonminimal coupling function $f_2(R) \sim R^n$ with $ 0 < n \lesssim 0.078 $ and determine its characteristic curvature scale.

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