D+1)维广义相对论中的平面对称引力场

IF 0.6 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Astrophysics Pub Date : 2024-10-14 DOI:10.1007/s10511-024-09840-3
R. M. Avagyan, T. A. Petrosyan, A. A. Saharian, G. H. Harutyunyan
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引用次数: 0

摘要

我们在 (D+1) 维时空的广义相对论框架内考虑平面对称引力场。两类真空解对应于林德勒和陶布时空的高维广义。一般解是以正负宇宙常数作为引力的唯一来源。讨论了具有不同平面对称度量张量的两个区域之间平面边界的匹配条件。我们以相邻半空间的林德勒和陶布几何为例进行了讨论。作为另一个例子,我们讨论了嵌入闵科夫斯基、林德勒和陶布时空的有限厚度宇宙常数板。我们找到了匹配外部和内部几何形状所需的相应表面能动张量。
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Plane Symmetric Gravitational Fields in (D+1)-dimensional General Relativity

We consider plane symmetric gravitational fields within the framework of General Relativity in (D+1)-dimensional spacetime. Two classes of vacuum solutions correspond to higher-dimensional generalizations of the Rindler and Taub spacetimes. The general solutions are presented for a positive and negative cosmological constant as the only source of the gravity. Matching conditions on a planar boundary between two regions with distinct plane symmetric metric tensors are discussed. An example is considered with Rindler and Taub geometries in neighboring half-spaces. As another example, we discuss a finite thickness cosmological constant slab embedded into the Minkowski, Rindler and Taub spacetimes. The corresponding surface energy-momentum tensor is found required for matching the exterior and interior geometries.

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来源期刊
Astrophysics
Astrophysics 地学天文-天文与天体物理
CiteScore
0.90
自引率
20.00%
发文量
32
审稿时长
6-12 weeks
期刊介绍: Astrophysics (Ap) is a peer-reviewed scientific journal which publishes research in theoretical and observational astrophysics. Founded by V.A.Ambartsumian in 1965 Astrophysics is one of the international astronomy journals. The journal covers space astrophysics, stellar and galactic evolution, solar physics, stellar and planetary atmospheres, interstellar matter. Additional subjects include chemical composition and internal structure of stars, quasars and pulsars, developments in modern cosmology and radiative transfer.
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