超维德布罗意-玻姆量子宇宙学

IF 2.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
F. A. P. Alves-Júnior, A. S. Lemos, F. A. Brito
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引用次数: 0

摘要

在这项工作中,我们探索了刚性物质,\(p=\rho \),各向异性n维宇宙的德布罗意-玻姆量子宇宙学。首先考虑宇宙的高斯波函数,除了色散参数\(\sigma _1\)和\(\sigma _2\)外,它还取决于动量参数\(q_1\)和\(q_2\)。我们的解决方案表明,额外维度是通过量子宇宙学框架内的动态紧化机制稳定的。在这种情况下,我们发现额外维度的动力学有两种不同的构型。第一种配置在弹跳处具有较大的额外尺寸,随后经历紧化到较小的尺寸。相比之下,第二种结构在弹跳时显示出较小的额外维度,并向较大、有限和稳定的值发展。我们还讨论了惠勒-德维特方程退化的特殊五维情况。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Extra-Dimensional de Broglie-Bohm Quantum Cosmology

In this work, we explore the de Broglie-Bohm quantum cosmology for a stiff matter, \(p=\rho \), anisotropic n-dimensional Universe. One begins by considering a Gaussian wave function for the Universe, which depends on the momenta parameters \(q_1\) and \(q_2\), in addition to the dispersion parameters \(\sigma _1\) and \(\sigma _2\). Our solutions show that the extra dimensions are stabilized through a dynamical compactification mechanism within the quantum cosmology framework. In this case, we find two distinct configurations for the dynamics of the extra dimensions. The first configuration features larger extra dimensions at the bounce, which subsequently undergo compactification to a smaller size. In contrast, the second configuration exhibits a smaller extra dimension at the bounce, evolving toward a larger, finite, and stabilized value. We also address the particular five-dimensional case where the Wheeler-DeWitt equation degenerates.

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来源期刊
General Relativity and Gravitation
General Relativity and Gravitation 物理-天文与天体物理
CiteScore
4.60
自引率
3.60%
发文量
136
审稿时长
3 months
期刊介绍: General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation. It welcomes in particular original articles on the following topics of current research: Analytical general relativity, including its interface with geometrical analysis Numerical relativity Theoretical and observational cosmology Relativistic astrophysics Gravitational waves: data analysis, astrophysical sources and detector science Extensions of general relativity Supergravity Gravitational aspects of string theory and its extensions Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations Quantum field theory in curved spacetime Non-commutative geometry and gravitation Experimental gravity, in particular tests of general relativity The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.
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