Plane symmetric gravitational fields in (D+1)-dimensional General Relativity
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917809411325952 |
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| author | Avagyan, R. M. Petrosyan, T. A. Saharian, A. A. Harutyunyan, G. H. |
| author_facet | Avagyan, R. M. Petrosyan, T. A. Saharian, A. A. Harutyunyan, G. H. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13758 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Plane symmetric gravitational fields in (D+1)-dimensional General Relativity Avagyan, R. M. Petrosyan, T. A. Saharian, A. A. Harutyunyan, G. H. General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | Plane symmetric gravitational fields in (D+1)-dimensional General Relativity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.13758 |