Spherically symmetric solutions in higher-derivative theories of gravity

• Autor(a) principal: Medeiros, Léo Gouvêa
• Data de Publicação: 2020
• Outros Autores: Silva, Gesiel Rodrigues da
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UFRN
• Texto Completo: https://repositorio.ufrn.br/jspui/handle/123456789/29893
• topic: Spherically; Symmetric solutions; Higher-derivative; Theories of gravity

Higher-order theories of gravity have received much attention from several areas including quantum gravity, string theory, and cosmology. This paper proposes a higher-order gravity whose action includes all curvature scalar terms up to the second-order corrections of general relativity, namely, R2, R3, and R□R. Then, we explore spherically symmetric and static solutions in the weak-field regime and black holes context. All solutions in the weak-field regime due to a point mass are deduced, and by making a stability analysis of these solutions, we restrict them to Yukawa-type solutions. In regard to black hole solutions, we use the Lichnerovicz method to investigate the possibility of the existence of non-Schwarzschild black holes. The results obtained show that non-Schwarzschild solutions might exist. However, for reasonable values of the parameters of the theory, its horizon radii are extremely small making macroscopic black holes different from Schwarzschild unfeasible