### Inhomogeneous spacetimes in Weyl integrable geometry with matter source

### 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.

### Más información

Título según WOS: | ID WOS:000561952300008 Not found in local WOS DB |

Título de la Revista: | EUROPEAN PHYSICAL JOURNAL C |

Volumen: | 80 |

Número: | 8 |

Editorial: | Springer |

Fecha de publicación: | 2020 |

DOI: |
10.1140/epjc/s10052-020-8277-z |

Notas: | ISI |