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- Title
Lagrangian formalism for Rastall theory of gravity and Gödel-type universe.
- Authors
De Moraes, W. A. G.; Santos, A. F.
- Abstract
In the Rastall gravity a non-minimal coupling between geometry and matter fields is considered. Then the usual energy-momentum tensor conservation law is not valid. Here a Lagrangian formalism is proposed to the Rastall theory of gravity. The Gödel-type universe is studied in this gravitational model. Then it is studied whether this theory permits causality violation. The field equations do not exclude solutions with a breakdown of causality for a perfect fluid as matter content. In this case, an expression for the critical radius (beyond which the causality is violated) is determined. In addition, for a combination between perfect fluid and scalar field as matter content the theory accommodates causal Gödel-type solution.
- Subjects
EINSTEIN field equations; LAGRANGIAN mechanics; UNIVERSE; GRAVITY; SCALAR field theory; CAUSALITY (Physics); LAGRANGIAN functions; CONSERVATION laws (Physics)
- Publication
General Relativity & Gravitation, 2019, Vol 51, Issue 12, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-019-2652-9