On the spacetime connecting two aeons in conformal cyclic cosmology

• Autor(a) principal: Araujo, A. [UNESP]
• Data de Publicação: 2015
• Outros Autores: Jennen, H. [UNESP], Pereira, J. G. [UNESP], Sampson, A. C. [UNESP], Savi, L. L. [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1007/s10714-015-1991-4; http://hdl.handle.net/11449/160998
• topic: Conformal cyclic cosmology; Initial condition for the universe; Locally de Sitter spacetime; de Sitter-ruled special relativity

As quotient spaces, Minkowski and de Sitter are fundamental, non-gravitational spacetimes for the construction of physical theories. When general relativity is constructed on a de Sitter spacetime, the usual Riemannian structure is replaced by a more general structure called de Sitter-Cartan geometry. In the contraction limit of an infinite cosmological term, the de Sitter-Cartan spacetime reduces to a singular, flat, conformal invariant four-dimensional cone spacetime, in which our ordinary notions of time interval and space distance are absent. It is shown that such spacetime satisfies all properties, including the Weyl curvature hypothesis, necessary to play the role of the bridging spacetime connecting two aeons in Penrose's conformal cyclic cosmology.