Regular Article - Theoretical Physics
Causal Gödel-type metrics in non-local gravity theories
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil
Accepted: 8 September 2021
Published online: 15 September 2021
It is well known that non-local theories of gravity have been a flourish arena of studies for many reasons, for instance, the UV incompleteness of General Relativity (GR). In this paper we check the consistency of ST-homogeneous Gödel-type metrics within the non-local gravity framework. The non-local models considered here are ghost-free but not necessarily renormalizable since we focus on the classical solutions of the field equations. Furthermore, the non-locality is displayed in the action through transcendental entire functions of the d’Alembert operator that are mathematically represented by a power series of the operator. We find two exact solutions for the field equations correspondent to the degenerate () and hyperbolic () classes of ST-homogeneous Gödel-type metrics.
© The Author(s) 2021
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