论文标题

在修改的宇宙学场景中,弗里德曼方程和宇宙反弹

Friedmann equations and cosmic bounce in a modified cosmological scenario

论文作者

Alonso-Serrano, Ana, Liška, Marek, Vicente-Becerril, Antonio

论文摘要

在这项工作中,我们介绍了基于时空热力学的量子重力的现象学模型的改良Raychaudhuri和Friedmann方程的推导。从编码低能量量子重力效应的一般重力方程式开始,我们发现了其具有标准物质含量的同质和各向同性宇宙的特殊解决方案,并获得了改良的Raychaudhuri方程。然后,我们实施了局部能量保护,并使用扰动处理来得出改良的弗里德曼方程。我们获得的早期宇宙中的改进演变表明,定期反弹将大爆炸奇点替换。最后,我们还简要讨论了扰动方法及其结果的有效性范围。

In this work we present a derivation of modified Raychaudhuri and Friedmann equations from a phenomenological model of quantum gravity based on the thermodynamics of spacetime. Starting from general gravitational equations of motion which encode low-energy quantum gravity effects, we found its particular solution for homogenous and isotropic universes with standard matter content, obtaining a modified Raychaudhuri equation. Then, we imposed local energy conservation and used a perturbative treatment to derive a modified Friedmann equation. The modified evolution in the early universe we obtained suggests a replacement of the Big Bang singularity by a regular bounce. Lastly, we also briefly discuss the range of validity of the perturbative approach and its results.

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