Inhomogeneous spacetimes in Weyl integrable geometry with matter source
arXiv:2006.01793 · doi:10.1140/epjc/s10052-020-8277-z
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.
arXiv comment15 pages, 4 compound figures. Matches the published version
References in corpus (32)
- Coupled Quintessence
- Holographic dark energy and cosmic coincidence
- Tracking and coupled dark energy as seen by WMAP
- Consequences of dark matter-dark energy interaction on cosmological parameters derived from SNIa data
- Le Chatelier-Braun principle in cosmological physics
- Linear and nonlinear interactions in the dark sector
- The Covariant Approach to LRS Perfect Fluid Spacetime Geometries
- Toward a solution of the coincidence problem
- Large-scale Stability and Astronomical Constraints for Coupled Dark-Energy Models
- Illusions of general relativity in Brans-Dicke gravity
- General Relativity and Weyl Geometry
- Dynamics of Silent Universes
- Cosmological dynamics with non-linear interactions
- From Brans-Dicke gravity to a geometrical scalar-tensor theory
- Naked strong curvature singularities in Szekeres space-times
- A novel approach to the dynamics of Szekeres dust models
- Vorticity and entropy production in tilted Szekeres spacetimes
- Symmetries and Singularities of the Szekeres System
- A note on the problem of proper time in Weyl space-time
- The Local Effects of Cosmological Variations in Physical 'Constants' and Scalar Fields II. Quasi-Spherical Spacetimes
- Non-Spherical Szekeres models in the language of Cosmological Perturbations
- Null paths on a toroidal topological black hole in conformalWeyl gravity
- Szekeres Universes with Homogeneous Scalar Fields
- Integrable Weyl Geometry in Multidimensional Cosmology. Numerical Investigation
- Present accelerated expansion of the universe from new Weyl-Integrable gravity approach
- On Weyl cosmology in five dimensions and the cosmological constant
- Frame Rotation in the Szekeres Spacetimes
- Cyclic Szekeres Universes
- (2+1)-Dimensional Gravity in Weyl Integrable Spacetime
- On the Cauchy Problem for Weyl-Geometric Scalar-Tensor Theories of Gravity
- Inhomogeneous scalar field solutions and inflation
- Inhomogeneous spacetimes in Einstein-æther Cosmology