Geometric deformations of symmetric spacetimes with a string cloud
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911613774200832 |
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| author | Kozaki, Hiroshi Matsuno, Satsuki Koike, Tatsuhiko Morisawa, Yoshiyuki Ishihara, Hideki |
| author_facet | Kozaki, Hiroshi Matsuno, Satsuki Koike, Tatsuhiko Morisawa, Yoshiyuki Ishihara, Hideki |
| contents | We establish a deformation framework for highly symmetric solutions to the Einstein equations. In this framework, four-dimensional metrics are constructed from three-dimensional η-Einstein metrics admitting a deformation determined by a single function. Under this deformation, the resulting spacetime solves the Einstein equations with a string-cloud source. Within this framework , a wide range of symmetric spacetimes can be treated in a unified manner. These include FLRW, Kantowski-Sachs, and LRS Bianchi cosmological models (including Taub-NUT-(A)dS solutions), as well as Reissner-Nordström-(A)dS black holes admitting spherical, planar, or hyperbolic symmetry. In the cosmological setting, the deformation leaves the evolution equations for the scale factors unchanged, and hence the expansion history coincides with that of the corresponding undeformed models. For the deformed Reissner-Nordström-(A)dS black holes, the structure of Killing horizons is insensitive to the deformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17279 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric deformations of symmetric spacetimes with a string cloud Kozaki, Hiroshi Matsuno, Satsuki Koike, Tatsuhiko Morisawa, Yoshiyuki Ishihara, Hideki General Relativity and Quantum Cosmology High Energy Physics - Theory We establish a deformation framework for highly symmetric solutions to the Einstein equations. In this framework, four-dimensional metrics are constructed from three-dimensional η-Einstein metrics admitting a deformation determined by a single function. Under this deformation, the resulting spacetime solves the Einstein equations with a string-cloud source. Within this framework , a wide range of symmetric spacetimes can be treated in a unified manner. These include FLRW, Kantowski-Sachs, and LRS Bianchi cosmological models (including Taub-NUT-(A)dS solutions), as well as Reissner-Nordström-(A)dS black holes admitting spherical, planar, or hyperbolic symmetry. In the cosmological setting, the deformation leaves the evolution equations for the scale factors unchanged, and hence the expansion history coincides with that of the corresponding undeformed models. For the deformed Reissner-Nordström-(A)dS black holes, the structure of Killing horizons is insensitive to the deformation. |
| title | Geometric deformations of symmetric spacetimes with a string cloud |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.17279 |