On the stability of the objects of limiting compactness: Black hole and Buchdahl star
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914283651072000 |
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| author | Chakrabarti, Soumya Singha, Chiranjeeb Dadhich, Naresh |
| author_facet | Chakrabarti, Soumya Singha, Chiranjeeb Dadhich, Naresh |
| contents | In General Relativity, there exist two objects of limiting compactness, one with a null boundary defining the horizon of a black hole and the other with a timelike boundary defining a Buchdahl star. The two are characterized by gravitational energy equal to or half the mass. Since non-gravitational mass-energy is the source of gravitational energy, both of these objects are manifestly stable. We demonstrate in this letter, in a simple and general way, that the equilibrium state defining the object is indeed stable, independent of the nature of the perturbation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19476 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the stability of the objects of limiting compactness: Black hole and Buchdahl star Chakrabarti, Soumya Singha, Chiranjeeb Dadhich, Naresh General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics In General Relativity, there exist two objects of limiting compactness, one with a null boundary defining the horizon of a black hole and the other with a timelike boundary defining a Buchdahl star. The two are characterized by gravitational energy equal to or half the mass. Since non-gravitational mass-energy is the source of gravitational energy, both of these objects are manifestly stable. We demonstrate in this letter, in a simple and general way, that the equilibrium state defining the object is indeed stable, independent of the nature of the perturbation. |
| title | On the stability of the objects of limiting compactness: Black hole and Buchdahl star |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2601.19476 |