Comment on ''The space-time line element for static ellipsoidal objects''
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918320543891456 |
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| author | Gutiérrez-Piñeres, Antonio C. |
| author_facet | Gutiérrez-Piñeres, Antonio C. |
| contents | A recent paper proposes a static ellipsoidal space-time metric that reduces to Schwarzschild. After examining the corrected line element using Maple's Differential geometry package, we find that the Einstein tendor and Ricci scalar are non-zero, and the metric yields non-zero pressures when interpreted as an anisotropic fluid. Thus, it does not represent a vacuum solution. We also checked a cited ellipsoidal metric from the literature and found it likewise fails to satisfy the vacuum Einstein equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02775 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Comment on ''The space-time line element for static ellipsoidal objects'' Gutiérrez-Piñeres, Antonio C. General Relativity and Quantum Cosmology A recent paper proposes a static ellipsoidal space-time metric that reduces to Schwarzschild. After examining the corrected line element using Maple's Differential geometry package, we find that the Einstein tendor and Ricci scalar are non-zero, and the metric yields non-zero pressures when interpreted as an anisotropic fluid. Thus, it does not represent a vacuum solution. We also checked a cited ellipsoidal metric from the literature and found it likewise fails to satisfy the vacuum Einstein equations. |
| title | Comment on ''The space-time line element for static ellipsoidal objects'' |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2602.02775 |