Anisotropic compact star model with quadratic equation of state in paraboloidal spacetime
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909749176434688 |
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| author | Ratanpal, B S Suthar, Bhavesh |
| author_facet | Ratanpal, B S Suthar, Bhavesh |
| contents | In this work, we report a new exact solution of Einstein's field equations for static spherically symmetric anisotropic matter distributions on the background of paraboloidal spacetime by assuming a quadratic equation of state. The model parameters were found by matching the interior spacetime metric with the Schwarzschild exterior metric. The new exact solution is non-singular and meets all of the physical plausibility conditions for a realistic compact star. The detailed physical analysis of the model reveals that the gravitational potentials and matter variables are well-behaved throughout the distribution. The stability of the model has been analyzed under various conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16392 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anisotropic compact star model with quadratic equation of state in paraboloidal spacetime Ratanpal, B S Suthar, Bhavesh General Relativity and Quantum Cosmology In this work, we report a new exact solution of Einstein's field equations for static spherically symmetric anisotropic matter distributions on the background of paraboloidal spacetime by assuming a quadratic equation of state. The model parameters were found by matching the interior spacetime metric with the Schwarzschild exterior metric. The new exact solution is non-singular and meets all of the physical plausibility conditions for a realistic compact star. The detailed physical analysis of the model reveals that the gravitational potentials and matter variables are well-behaved throughout the distribution. The stability of the model has been analyzed under various conditions. |
| title | Anisotropic compact star model with quadratic equation of state in paraboloidal spacetime |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.16392 |