We investigate the (1+ 1 +2) covariant formalism in the presence of nonmetricity. Focusing on locally rotationally symmetric spacetimes, we show how nonmetricity affects all the kinematic quantities involved in the covariant (1 +1 +2) decomposition. We apply the resulting geometrical framework to study both homogeneous solutions and static spherically symmetric solutions in the context of f(Q) gravity. We obtain sufficient conditions for homogeneous solutions with flat spatial hypersurfaces and Schwarzschild- de Sitter type solutions in the (1 +1 +2) formalism. We also explore an elementary gravastar solution utilizing covariant junction conditions.
Locally rotationally symmetric spacetimes of type II in f(Q) gravity
Fabrizio Esposito;Sante Carloni;Stefano Vignolo
2025-01-01
Abstract
We investigate the (1+ 1 +2) covariant formalism in the presence of nonmetricity. Focusing on locally rotationally symmetric spacetimes, we show how nonmetricity affects all the kinematic quantities involved in the covariant (1 +1 +2) decomposition. We apply the resulting geometrical framework to study both homogeneous solutions and static spherically symmetric solutions in the context of f(Q) gravity. We obtain sufficient conditions for homogeneous solutions with flat spatial hypersurfaces and Schwarzschild- de Sitter type solutions in the (1 +1 +2) formalism. We also explore an elementary gravastar solution utilizing covariant junction conditions.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
