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arXiv 2402.08951gr-qc
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单模 Born-Infeld-$f(R)$ 引力的宇宙学

Cosmology of unimodular Born-Infeld-$f(R)$ gravity

Salih Kibaroğlu, Sergei D. Odintsov, Tanmoy Paul

AI总结:

本文提出 Born-Infeld-$f(R)$ 引力的单模推广,通过重构方案实现宇宙各演化阶段,包括暴胀、幂律宇宙学及标准引力无法实现的非奇异反弹宇宙学。

摘要:

我们提出了一种新的修改引力理论:宇宙学框架下 Born-Infeld-$f(R)$ 引力的单模推广。在构造了对应于广义 Born-Infeld-$f(R)$ 引力的作用量后,我们提出了该单模扩展的重构方案,以实现宇宙的各种宇宙学时代。有趣的是,Born-Infeld-$f(R)$ 引力的单模推广被证明适用于暴胀(de-Sitter 和准 de-Sitter)以及幂律宇宙学,后者实际上涵盖了从再加热到标准大爆炸宇宙学。除暴胀外,这种广义 Born-Infeld-$f(R)$ 理论还能在单模拉格朗日乘子取适当形式时触发非奇异反弹宇宙学,这对于标准 Einstein-Hilbert 引力来说是奇异的,且在那种情况下无法实现。讨论了可能的后果。

英文摘要:

We propose a novel modified gravity: unimodular generalization of the Born-Infeld-$f(R)$ gravity within the framework of cosmology. After formulating the action corresponding to the generalized Born-Infeld-$f(R)$ gravity, we present a reconstruction scheme of this unimodular extension to achieve various cosmological eras of the universe. Interestingly, the unimodular generalization of Born-Infeld-$f(R)$ gravity proves to be suitable for inflation (de-Sitter and quasi de-Sitter) along with power law cosmology which actually includes from reheating to the Standard Big-Bang cosmology. Apart from the inflation, such generalized Born-Infeld-$f(R)$ theory is also capable to trigger non-singular bouncing cosmology for suitable forms of the unimodular Lagrange multiplier, which are exotic for the standard Einstein-Hilbert gravity and cannot be realized in that case. The possible consequences are discussed.

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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