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arXiv 2401.01705gr-qc
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带时空挠率的f(R)引力

f(R) gravity with spacetime torsion

Hitender Kumar, Tanmoy Paul, Soumitra SenGupta

AI总结:

本研究针对仿射联络含反对称部分的情形,推广了f(R)引力与标量-张量理论的对偶关系,证明带时空挠率的f(R)作用量可重构为含二阶无质量反对称张量场的非最小耦合标量-张量理论。

摘要:

高曲率f(R)引力模型与标量-张量理论之间的对偶性,有助于揭示引力作用量中高阶导数项所带来的额外自由度的作用。这种以标量场形式出现的自由度已被证明在宇宙学/天体物理场景中具有多重影响。本研究针对仿射联络存在反对称部分的情况,对f(R)引力与对偶标量-张量理论之间的对应关系提出了一种新的推广。结果表明,存在时空挠率时的f(R)作用量可重构为爱因斯坦框架下的非最小耦合标量-张量理论,该理论包含一个二阶无质量反对称张量场,其中标量场通过导数耦合与反对称场耦合。

英文摘要:

The duality between a higher curvature $f(R)$ gravity model and a scalar-tensor theory helps to bring out the role of the additional degree of freedom originating from the higher derivative terms in the gravity action. Such a degree of freedom which appears as a scalar field has been shown to have multiple implications in Cosmological/Astrophysical scenario. The present work proposes a novel generalization to this correspondence between $f(R)$ gravity and a dual scalar-tensor theory when the affine connection is considered to have an antisymmetric part. It turns out that the $f(R)$ action in presence of spacetime torsion can be recast to a $non-minimally$ coupled scalar-tensor theory with a 2-rank massless antisymmetric tensor field in the Einstein frame, where the scalar field gets coupled with the antisymmetric field through derivative coupling(s).

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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