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arXiv 2302.09062gr-qc
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膜世界与圈量子宇宙学中的非奇异平坦宇宙

Non-singular flat universes in braneworld and Loop Quantum Cosmology

Rikpratik Sengupta, B. C. Paul, M. Kalam, P. Paul, A. Aich

AI总结:

本文在Randall-Sundrum膜世界和有效圈量子宇宙学背景下,研究了非线性状态方程物质和标量场在空间平坦宇宙中的演化,发现初始奇点在几乎所有情况下均可避免,且暴胀场景得到改善,部分情况还出现反弹和循环宇宙。

摘要:

在本文中,我们采用了具有非线性状态方程(EoS)的物质源,该物质源在广义相对论中为空间平坦宇宙产生了非奇异涌现宇宙学;同时采用了具有两种不同势的最小耦合标量场,在相对论背景下为正空间曲率产生了暴胀涌现宇宙。我们在观测所支持的零空间曲率且不存在任何有效宇宙学常数项的情况下,在Randall-Sundrum膜世界和有效圈量子宇宙学(LQC)背景下研究了所有这三个案例。我们在每个案例中求解修正的Friedmann方程以获得标度因子的时间演化,并据此检查初始奇点是否能被避免。在几乎所有案例中,我们发现初始奇点都不存在。在获得暴胀涌现宇宙的案例中,我们研究了慢滚暴胀的性质。发现暴胀场景比标准相对论背景下有所改善,并且我们比较了膜世界和LQC模型中改善的场景。有趣的是,在某些情况下,我们的分析还得到了反弹宇宙和循环宇宙。我们发现,通过特定选择物质EoS或标量场势(在大多数情况下不违反零能量条件),并考虑带有或不带有额外维度的有效高能(曲率)修正,可以避免空间平坦宇宙的初始奇点。

英文摘要:

In this paper we take matter source with non-linear Equation of state (EoS) that has produced non-singular Emergent cosmology for spatially flat universe in General Relativity and minimally coupled scalar field with two different potentials that produce an inflationary emergent universe for positive spatial curvature in the relativistic context. We study all these three cases both in the context of Randall-Sundrum braneworld and effective Loop quantum cosmology (LQC) for zero spatial curvature that is observationally favoured and in the absence of any effective cosmological constant term. We solve the modified Friedmann equation in each case to obtain the time evolution of the scale factor and use it to check whether the initial singularity can be averted. In almost all the cases we find the initial singularity is absent. We study the nature of the slow roll inflation in the cases where we obtain inflationary emergent universes. The inflationary scenario is found to be improved than in a standard relatvistic context and we compare the improved scenario for both the braneworld and LQC models. Interestingly, we also obtain bouncing and cyclic universes from our analysis in some cases. We find that the initial singularity can be averted for a spatially flat universe with specific choice of matter EoS or scalar field potential, which do not violate the Null Energy condition in most cases, taking into account effective high energy (curvature) corrections with or without extra dimensions.

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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