Are there causal vacuum solutions with the symmetries of the Gödel universe in higher-derivative gravity?

• Autor(a) principal: Accioly, A. J. [UNESP]
• Data de Publicação: 1988
• Outros Autores: Matsas, G. E.A. [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1103/PhysRevD.38.1083; http://hdl.handle.net/11449/223821

A globally causal vacuum solution with the symmetries of the Gödel universe is obtained in the framework of higher-derivative gravity. This very peculiar and rare result has no similar one in standard general relativity. The Rebouças-Tiomno universe, i.e., the unique completely causal Gödel-type solution of Einsteins field equations with an algebraic Segrè characteristic [(1,11)1], is shown to be a special case of our solution. We also show that our model is an embedding of the three-dimensional antide Sitter universe in four-dimensional space-time. © 1988 The American Physical Society.