What makes a shear-free spherical perfect fluid be inhomogeneous with tidal effects?
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866929386875256832 |
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| author | Hakata, Jonathan Goswami, Rituparno Hansraj, Chevarra Maharaj, Sunil D. |
| author_facet | Hakata, Jonathan Goswami, Rituparno Hansraj, Chevarra Maharaj, Sunil D. |
| contents | This is an important and natural question as the spacetime shear, inhomogeneity and tidal effects are all intertwined via the Einstein field equations. However, as we show in this paper, such scenarios are possible for limited classes of equations of state that are solutions to a highly non-linear and fourth order differential equation. To show this, we use a covariant semitetrad spacetime decomposition and present a novel geometrical classification of shear-free Locally Rotationally Symmetric (LRS-II) perfect fluid self-gravitating systems, in terms of the covariantly defined fluid acceleration and the fluid expansion. Noteworthily, we deduce the governing differential equation that gives the possible limited equations of state of matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_14581 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | What makes a shear-free spherical perfect fluid be inhomogeneous with tidal effects? Hakata, Jonathan Goswami, Rituparno Hansraj, Chevarra Maharaj, Sunil D. General Relativity and Quantum Cosmology This is an important and natural question as the spacetime shear, inhomogeneity and tidal effects are all intertwined via the Einstein field equations. However, as we show in this paper, such scenarios are possible for limited classes of equations of state that are solutions to a highly non-linear and fourth order differential equation. To show this, we use a covariant semitetrad spacetime decomposition and present a novel geometrical classification of shear-free Locally Rotationally Symmetric (LRS-II) perfect fluid self-gravitating systems, in terms of the covariantly defined fluid acceleration and the fluid expansion. Noteworthily, we deduce the governing differential equation that gives the possible limited equations of state of matter. |
| title | What makes a shear-free spherical perfect fluid be inhomogeneous with tidal effects? |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2306.14581 |