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Inhomogeneous spacetimes in Weyl integrable geometry with matter source

Published version
Peer-reviewed

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Authors

Paliathanasis, Andronikos 
Barrow, John D. 

Abstract

Abstract: We investigate the existence of inhomogeneous exact solutions in Weyl Integrable theory with a matter source. In particular, we consider the existence of a dust fluid source while for the underlying geometry we assume a line element which belongs to the family of silent universes. We solve explicitly the field equations and we find the Szekeres spacetimes in Weyl Integrable theory. We show that only the isotropic family can describe inhomogeneous solutions where the LTB spacetimes are included. A detailed analysis of the dynamics of the field equations is given where the past and future attractors are determined. It is interesting that the Kasner spacetimes can be seen as past attractors for the gravitation models, while the unique future attractor describes the Milne universe similar with the behaviour of the gravitational model in the case of General Relativity.

Description

Keywords

Regular Article - Theoretical Physics

Journal Title

The European Physical Journal C

Conference Name

Journal ISSN

1434-6044
1434-6052

Volume Title

80

Publisher

Springer Berlin Heidelberg
Sponsorship
Fondo Nacional de Desarrollo Científico y Tecnológico (1180126)