A brief note on the limit ω → ∞ in Weyl geometrical scalar-tensor theory.

• Autor(a) principal: BARROS, Adriano Trindade de.
• Data de Publicação: 2021
• Outros Autores: ROMERO FILHO, Carlos Augusto.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UFCG
• Texto Completo: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/36121
• topic: Weyl geometry; Scalar-tensor theory; Brans-Dicke field equations; Geometria Weyl; Teoria do tensor escalar; Equações de campo de Brans-Dicke; Física.

We obtain vacuum solutions in the presence of a cosmological constant in the context of the Weyl geometrical scalar-tensor theory. We investigate the limit when ω goes to infinity and show by working out the solutions that in this limit there are some cases in which the scalar field tends to a constant (with the implicit consequence of the geometry becoming Riemannian), although the solutions do not reduce to the corresponding Einstein solutions. We have also extended a previous result, known in the literature, by showing that in the case of vacuum with cosmological constant the field equations of the Weyl geometrical scalar-tensor theory are formally identical to Brans-Dicke field equations, even though these theories are not physically equivalent.