arXiv 2103.153122021-03gr-qcastro-ph.COhep-th

$f(P)$引力中的重子生成

Baryogenesis in $f(P)$ Gravity

Snehasish Bhattacharjee

发表信息：: International Journal of Modern Physics A 36, 27, 2150200 (2021)
DOI：: 10.1142/S0217751X21502006

摘要：

在这项工作中，我们调查的引力重子生成的$f(P)$重力的框架，以了解这类修改后的重力在解决宇宙的重子不对称性的适用性。对于分析，我们设置$f(P) = αP$，其中$α$是模型参数。我们发现在$f(P)$引力中，CP破坏相互作用通过在Ricci标量$R$的基础上增加非拓扑立方项$P$而得到修正，重子熵比的数学表达式不仅依赖于$R$的时间导数，还依赖于$P$的时间导数.此外，我们还研究了一个更完整的和广义的CP破坏的相互作用成正比于$f(P)$，而不是$P$在解决宇宙的重子不对称性的后果。对于这种类型的相互作用，我们报告的重子熵比是成比例的$\dot{R}$，$\dot{P}$和$f^{'}(P)$。我们报告说，对于这两种情况下，合理的值$α$和$χ$产生可接受的重子熵比与观察兼容。

英文摘要：

In this work, we investigate gravitational baryogenesis in the framework of $f(P)$ gravity to understand the applicability of this class of modified gravity in addressing the baryon asymmetry of the Universe. For the analysis, we set $f(P) = αP$ where $α$ is the model parameter. We found that in $f(P)$ gravity, the CP-violating interaction acquires a modification through the addition of the nontopological cubic term $P$ in addition to the Ricci scalar $R$ and the mathematical expression of the baryon-to-entropy ratio depends not only on the time derivative of $R$ but also the time derivative of $P$. Additionally, we also investigate the consequences of a more complete and generalized CP-violating interaction proportional to $f(P)$ instead of $P$ in addressing the baryon asymmetry of the Universe. For this type of interaction, we report that the baryon-to-entropy ratio is proportional to $\dot{R}$, $\dot{P}$ and $f^{'}(P)$. We report that for both of these cases, rational values of $α$ and $χ$ generate acceptable baryon-to-entropy ratios compatible with observations.

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