Abstract
AbstractIt 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 $$\Box $$
□
that are mathematically represented by a power series of the $$\Box $$
□
operator. We find two exact solutions for the field equations correspondent to the degenerate ($$\omega =0$$
ω
=
0
) and hyperbolic ($$m^{2}=4\omega ^2$$
m
2
=
4
ω
2
) classes of ST-homogeneous Gödel-type metrics.
Funder
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
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