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arXiv 2203.04435hep-thgr-qc
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动力学射影联络中的暴胀

Inflation from Dynamical Projective Connections

Muhammad Abdullah, Calvin Bavor, Biruk Chafamo, Xiaole Jiang, Muhammad Hamza Kalim, Kory Stiffler, Catherine A. Whiting

备注：
39 pages, 9 figures, added background material on coadjoint orbits of Virasoro algebra that demonstrates the string-inspired nature of the model, made various minor edits and corrections
发表信息：
Phys.Rev.D 106 (2022) 8, 084049
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AI总结：

本文证明Thomas-Whitehead引力自然产生一个非最小耦合标量场，其在慢滚近似下充当暴胀子，并找到符合最新宇宙学观测的参数范围。

摘要：

我们展示了最近发展的、受弦理论启发的、射影不变的引力模型——Thomas-Whitehead引力（TW引力）——如何自然地产生一个充当暴胀子的场。在TW引力的表述中，一个场$\mathcal{D}_{ab}$被引入射影联络的分量中，并与一个秩二张量场$\mathcal{P}_{ab}$相关联。通过TW引力的动力学作用，以射影曲率表示，张量场$\mathcal{P}_{ab}$获得动力学。通过将$\mathcal{P}_{ab}$分解为迹和无迹自由度，并选择联络为Levi-Civita联络，我们证明了TW引力包含一个具有特定势能的非最小耦合标量场。仅考虑迹自由度，我们证明了该标量场在慢滚近似中充当暴胀子。我们找到了TW引力引入的参数的一组取值范围，这些值符合最新宇宙学数据的实验约束。

英文摘要：

We show how the recently developed string-inspired, projectively-invariant gravitational model Thomas-Whitehead gravity (TW gravity) naturally gives rise to a field acting as the inflaton. In the formulation of TW gravity, a field $\mathcal{D}_{ab}$ is introduced into the projective connection components and is related to a rank-two tensor field $\mathcal{P}_{ab}$. Through the dynamical action of TW gravity, in terms of projective curvature, the tensor field $\mathcal{P}_{ab}$ acquires dynamics. By decomposing $\mathcal{P}_{ab}$ into its trace and traceless degrees of freedom, and choosing the connection to be Levi-Civita, we demonstrate that TW gravity contains a non-minimally coupled scalar field with a specific potential. Considering only the trace degrees of freedom, we demonstrate that the scalar field acts as an inflaton in the slow roll approximation. We find a range of values for the parameters introduced by TW gravity that fit the experimental constraints of the most recent cosmological data.

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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