Hyperplane-Symmetric Static Einstein-Dirac Spacetime

Autor:	Schliemann, John, Sonnleitner, Tim
Rok vydání:	2024
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We derive the general solution to the coupled Einstein and Dirac field equations in static and hyperplane-symmetric spacetime of arbitrary dimension including a cosmological constant of either sign. As a result, only a massful Dirac field couples via the Einstein equations to spacetime, and in the massless case the Dirac field is required to fulfill appropriate constraints in order to eliminate off-diagonal components of the energy-momentum tensor. We also give explicit expressions for curvature invariants including the Ricci scalar and the Kretschmann scalar, indicating physical singularities. Moreover, we reduce the general solution of the geodesic equation to quadratures. Comment: 8 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.04582 Zobrazit plný text záznamu View this record from Arxiv