Cosmic acceleration from topological considerations III: Lie group.

IF 2.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
I. A. Sarmiento-Alvarado, Maribel Hernández-Márquez, Tonatiuh Matos
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引用次数: 0

Abstract

Recent observations on the large-scale structure of the universe indicate that the cosmological constant cannot be the definitive answer to the nature of dark energy. Therefore, it is a good time to propose alternatives to understand the accelerated expansion of spacetime. In this work, we study the possibility that the accelerated expansion of spacetime is due to the topology of the universe. We assume that the topology of the universe is a principal fiber bundle, whose base space is our 4-dimensional spacetime and whose fiber is a N-dimensional compact semi-simple Lie group. We suppose a homogeneous and isotropic spacetime described by the Friedman-Robertson-Walker metric, and a fiber that evolves with respect to time and is endowed with a left-invariant metric. With this hypothesis, we find that these Lie groups cause an accelerated expansion of spacetime. Furthermore, we study the behavior of the deceleration parameter and the density parameters of matter and radiation.

从拓扑考虑的宇宙加速III:李群。
最近对宇宙大尺度结构的观测表明,宇宙常数不能作为暗能量本质的决定性答案。因此,现在是提出替代方案来理解时空加速膨胀的好时机。在这项工作中,我们研究了时空的加速膨胀是由于宇宙的拓扑结构的可能性。我们假设宇宙的拓扑结构是一个主纤维束,其基空间是我们的四维时空,其纤维是一个n维紧致半单李群。我们假设一个由弗里德曼-罗伯逊-沃克度规描述的齐次各向同性时空,以及一个随时间演化并具有左不变度规的纤维。根据这个假设,我们发现这些李群导致了时空的加速膨胀。此外,我们还研究了物质和辐射的减速参数和密度参数的行为。
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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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