Spatiotemporal jumps as particular solutions in geodesic trajectories with the Gödel metric on an extended manifold

MAURICIO BELLINI

EUROPEAN PHYSICAL JOURNAL C - PARTICLES AND FIELDS

SPRINGER

Lugar: Berlin; Año: 2022 vol. 82 p. 817 - 822

1434-6044

Using the G"odel metric, we obtain some relevant solutions compatible with spatiotemporal jumps for the geodesic equations, by using an extension of General Relativity withnonzero boundary terms, which are described on an extended manifold generated by the connections $deltaGamma^{mu}_{alphaeta} = b,U^{mu},g_{alphaeta}$. These terms are given by a flow of velocities with components $U^{u}$: $3,b^2,abla_{u}U^{u}=g^{alphaeta}, delta R_{alphaeta} = lambdaleft[sleft( x^{alpha}ight)ight],g^{alphaeta}, delta g_{alphaeta}$ in the varied Einstein-Hilbert action. The solutions are valid for an arbitrary equation of state with ordinary matter: $Omega=P/(c^2,ho) = rac{left(rac{omega}{c}ight)^2-lambda(s)}{left(rac{omega}{c}ight)^2+lambda(s)}$.