A semi-tetrad decomposition of the Kerr spacetime
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866911918671790080 |
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| author | Hansraj, Chevarra Goswami, Rituparno Maharaj, Sunil D. |
| author_facet | Hansraj, Chevarra Goswami, Rituparno Maharaj, Sunil D. |
| contents | In this paper we perform a semi-tetrad decomposition of the Kerr spacetime. We apply the 1+1+2 covariant method to the Kerr spacetime in order to describe its geometry outside the ergoregion. As a result we are able to explicitly write down the 1+1+2 Kerr quantities, and the evolution and propagation equations they satisfy. This formalism allows us to present the kinematic and dynamic quantities in a transparent geometrical manner; and also to highlight the role of vorticity. To our knowledge, using the 1+1+2 formalism to investigate the Kerr spacetime is a novel approach and this provides new insights into the spacetime geometry in an easier manner than alternate approaches. Furthermore we make corrections to earlier equations in the 1+1+2 formalism applied to the Kerr spacetime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_04162 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A semi-tetrad decomposition of the Kerr spacetime Hansraj, Chevarra Goswami, Rituparno Maharaj, Sunil D. General Relativity and Quantum Cosmology In this paper we perform a semi-tetrad decomposition of the Kerr spacetime. We apply the 1+1+2 covariant method to the Kerr spacetime in order to describe its geometry outside the ergoregion. As a result we are able to explicitly write down the 1+1+2 Kerr quantities, and the evolution and propagation equations they satisfy. This formalism allows us to present the kinematic and dynamic quantities in a transparent geometrical manner; and also to highlight the role of vorticity. To our knowledge, using the 1+1+2 formalism to investigate the Kerr spacetime is a novel approach and this provides new insights into the spacetime geometry in an easier manner than alternate approaches. Furthermore we make corrections to earlier equations in the 1+1+2 formalism applied to the Kerr spacetime. |
| title | A semi-tetrad decomposition of the Kerr spacetime |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2109.04162 |