The Spherical-Rindler framework: From compact Minkowski regions to black-Hole and cosmological Solutions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914288925409280 |
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| author | León, Edgar Alejandro |
| author_facet | León, Edgar Alejandro |
| contents | In this article we first develop novel Rindler-type representations of flat spacetime by demonstrating that the standard hyperbolic transformation is a member of an infinite family of coordinate mappings. We specifically introduce cyclic coordinates, which, in contrast to the conventional Rindler wedge, delineate a compact region of Minkowski spacetime. By extending this framework, and motivated by near horizon coordinates in Schwarzschild metric, we propose a class of Spherical Rindler metrics. We demonstrate the utility of this approach by deriving and analyzing a black hole solution and a cosmological metric, both emerging naturally from a Spherical Rindler origin. Our results highlight unique geometric properties of these solutions, providing new insights into the relationship between accelerated frames and global spacetime curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20971 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Spherical-Rindler framework: From compact Minkowski regions to black-Hole and cosmological Solutions León, Edgar Alejandro General Relativity and Quantum Cosmology In this article we first develop novel Rindler-type representations of flat spacetime by demonstrating that the standard hyperbolic transformation is a member of an infinite family of coordinate mappings. We specifically introduce cyclic coordinates, which, in contrast to the conventional Rindler wedge, delineate a compact region of Minkowski spacetime. By extending this framework, and motivated by near horizon coordinates in Schwarzschild metric, we propose a class of Spherical Rindler metrics. We demonstrate the utility of this approach by deriving and analyzing a black hole solution and a cosmological metric, both emerging naturally from a Spherical Rindler origin. Our results highlight unique geometric properties of these solutions, providing new insights into the relationship between accelerated frames and global spacetime curvature. |
| title | The Spherical-Rindler framework: From compact Minkowski regions to black-Hole and cosmological Solutions |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2601.20971 |