A note on gravity and fluid dynamic correspondence on a null hypersurface
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909974040412160 |
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| author | Bhattacharya, Krishnakanta Dey, Sumit Majhi, Bibhas Ranjan |
| author_facet | Bhattacharya, Krishnakanta Dey, Sumit Majhi, Bibhas Ranjan |
| contents | In the extensive literature on fluid-gravity correspondence formulated on null hypersurfaces, the Carrollian and membrane paradigm approaches have predominantly employed a timelike foliation. By contrast, within the null foliation formalism, only the momentum conservation law, expressed through the Damour-Navier-Stokes (DNS) equation, has been established. In this work, we revisit the null foliation formalism for a generic null hypersurface and extend it to include the energy conservation law, continuity equation, and related relations, all derived from the covariant conservation of an appropriately defined energy-momentum tensor. This development complements the existing literature on the fluid description of gravitational dynamics in the null foliation framework. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_06914 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on gravity and fluid dynamic correspondence on a null hypersurface Bhattacharya, Krishnakanta Dey, Sumit Majhi, Bibhas Ranjan General Relativity and Quantum Cosmology High Energy Physics - Theory In the extensive literature on fluid-gravity correspondence formulated on null hypersurfaces, the Carrollian and membrane paradigm approaches have predominantly employed a timelike foliation. By contrast, within the null foliation formalism, only the momentum conservation law, expressed through the Damour-Navier-Stokes (DNS) equation, has been established. In this work, we revisit the null foliation formalism for a generic null hypersurface and extend it to include the energy conservation law, continuity equation, and related relations, all derived from the covariant conservation of an appropriately defined energy-momentum tensor. This development complements the existing literature on the fluid description of gravitational dynamics in the null foliation framework. |
| title | A note on gravity and fluid dynamic correspondence on a null hypersurface |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.06914 |