Newman-Penrose formalism in quadratic gravity

0567840 - MÚ 2024 RIV US eng J - Článek v odborném periodiku
Švarc, R. - Pravdová, Alena - Miškovský, D.
Newman-Penrose formalism in quadratic gravity.
Physical Review D. Roč. 107, č. 2 (2023), č. článku 024036. ISSN 2470-0010. E-ISSN 2470-0029
Grant CEP: GA ČR(CZ) GA19-09659S
Institucionální podpora: RVO:67985840
Klíčová slova: Newman-Penrose formalism * quadratic gravity
Obor OECD: Pure mathematics
Impakt faktor: 5, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1103/PhysRevD.107.024036

The quadratic gravity constraints are reformulated in terms of the Newman-Penrose-like quantities. In such a frame language, the field equations represent a linear algebraic system for the traceless Ricci tensor components. In principle, a procedure for the combination of the Ricci components with standard geometric identities can be applied in a similar way as in the case of general relativity. These results could serve in various subsequent analyses and physical interpretations of admitted solutions to quadratic gravity. Here, we demonstrate the utility of such an approach by proving general propositions restricting the spacetime geometry under assumptions on a specific algebraic type of curvature tensors.
Trvalý link: https://hdl.handle.net/11104/0339096