https://doi.org/10.1140/epjc/s10052-022-10786-z
Regular Article - Theoretical Physics
Spatiotemporal jumps as particular solutions in geodesic trajectories with the Gödel metric on an extended manifold
1
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, C.P. 7600, Mar del Plata, Argentina
2
Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Mar del Plata, Argentina
Received:
17
May
2022
Accepted:
7
September
2022
Published online:
15
September
2022
Using the Gödel metric, we obtain some relevant solutions compatible with spatiotemporal jumps for the geodesic equations, by using an extension of General Relativity with nonzero boundary terms, which are described on an extended manifold generated by the connections . These terms are given by a flow of velocities with components
:
in the varied Einstein–Hilbert action. The solutions are valid for an arbitrary equation of state with ordinary matter:
.
© The Author(s) 2022
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