Generalized Eddington–Finkelstein coordinates and exact Vaidya-type solutions in Weyl conformal gravity
Abstract We study Vaidya-type solutions in Weyl conformal gravity (WCG) using Eddington–Finkelstein-like coordinates. Our considerations focus on spherical as well as hyperbolic and planar symmetries. In particular, we find all vacuum dynamical solutions for the aforementioned symmetries. These are,...
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| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14321-8 |
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| author | Petr Jizba Tereza Lehečková |
| author_facet | Petr Jizba Tereza Lehečková |
| author_sort | Petr Jizba |
| collection | DOAJ |
| description | Abstract We study Vaidya-type solutions in Weyl conformal gravity (WCG) using Eddington–Finkelstein-like coordinates. Our considerations focus on spherical as well as hyperbolic and planar symmetries. In particular, we find all vacuum dynamical solutions for the aforementioned symmetries. These are, in contrast to general relativity, structurally quite non-trivial. We provide a thorough analysis of their basic properties, such as, relation to other known WCG solutions, algebraic types, singularities, horizons, and symmetries. In the same vein, we also derive, classify, and discuss non-vacuum solutions with the Coulombic electric field and null dust. Other salient issues, such as the gauge equivalence of WCG solutions to Einstein spaces and the role of the Birkhoff–Riegert theorem, are also addressed. |
| format | Article |
| id | doaj-art-c131512a002a4e8f8e99b0f3fab23530 |
| institution | DOAJ |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-c131512a002a4e8f8e99b0f3fab235302025-08-20T03:22:03ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-05-0185511510.1140/epjc/s10052-025-14321-8Generalized Eddington–Finkelstein coordinates and exact Vaidya-type solutions in Weyl conformal gravityPetr Jizba0Tereza Lehečková1FNSPE, Czech Technical University in PragueFNSPE, Czech Technical University in PragueAbstract We study Vaidya-type solutions in Weyl conformal gravity (WCG) using Eddington–Finkelstein-like coordinates. Our considerations focus on spherical as well as hyperbolic and planar symmetries. In particular, we find all vacuum dynamical solutions for the aforementioned symmetries. These are, in contrast to general relativity, structurally quite non-trivial. We provide a thorough analysis of their basic properties, such as, relation to other known WCG solutions, algebraic types, singularities, horizons, and symmetries. In the same vein, we also derive, classify, and discuss non-vacuum solutions with the Coulombic electric field and null dust. Other salient issues, such as the gauge equivalence of WCG solutions to Einstein spaces and the role of the Birkhoff–Riegert theorem, are also addressed.https://doi.org/10.1140/epjc/s10052-025-14321-8 |
| spellingShingle | Petr Jizba Tereza Lehečková Generalized Eddington–Finkelstein coordinates and exact Vaidya-type solutions in Weyl conformal gravity European Physical Journal C: Particles and Fields |
| title | Generalized Eddington–Finkelstein coordinates and exact Vaidya-type solutions in Weyl conformal gravity |
| title_full | Generalized Eddington–Finkelstein coordinates and exact Vaidya-type solutions in Weyl conformal gravity |
| title_fullStr | Generalized Eddington–Finkelstein coordinates and exact Vaidya-type solutions in Weyl conformal gravity |
| title_full_unstemmed | Generalized Eddington–Finkelstein coordinates and exact Vaidya-type solutions in Weyl conformal gravity |
| title_short | Generalized Eddington–Finkelstein coordinates and exact Vaidya-type solutions in Weyl conformal gravity |
| title_sort | generalized eddington finkelstein coordinates and exact vaidya type solutions in weyl conformal gravity |
| url | https://doi.org/10.1140/epjc/s10052-025-14321-8 |
| work_keys_str_mv | AT petrjizba generalizededdingtonfinkelsteincoordinatesandexactvaidyatypesolutionsinweylconformalgravity AT terezaleheckova generalizededdingtonfinkelsteincoordinatesandexactvaidyatypesolutionsinweylconformalgravity |