Abstract
We investigate the cosmological evolution for the physical parameters in Weyl integrable gravity in a Friedmann–Lemaître–Robertson–Walker universe with zero spatial curvature. For the matter component, we assume that it is an ideal gas, and of the Chaplygin gas, from the Weyl integrable gravity a scalar field is introduced by a geometric approach which provides an interaction with the matter component.We calculate the stationary points for the field equations and we study their stability properties. Furthermore, we solve the inverse problem for the case of an ideal gas and prove that the gravitational field equations can follow from the variation of a Lagrangian function. Finally, variational symmetries are applied for the construction of analytic and exact solutions.
Highlights
The cosmological constant component in the Einstein-Hilbert Action Integral is the simplest dark energy candidate to describe of the recent acceleration phase of the universe, as it is provided by the cosmological observations [1]
In the so-called ΛCDM cosmology the universe is considered to be homogeneous and isotropic, described by the Friedmann– Lemaître–Robertson–Walker (FLRW) geometry with spatially flat term, where the matter component consists of the cosmological constant and a pressureless fluid source which attributes the dark matter component of the universe
Constraints for the free parameters of a given model can be constructed through the analysis of the stationary points and the specific requirements for the stability of the stationary points [24,25,26,27,28]. In this piece of work, we study the evolution of the cosmological dynamics for the theory known as Weyl integrable gravity (WIG) [29,30,31,32,33,34,35]
Summary
The cosmological constant component in the Einstein-Hilbert Action Integral is the simplest dark energy candidate to describe of the recent acceleration phase of the universe, as it is provided by the cosmological observations [1]. A different approach is inspired by the modification of the Einstein-Hilbert Action integral, and leads to the family of theories known as alternative/modified theories of gravity [9,10,11] Another interesting consideration is the interaction between the various components of the energy momentum tensor [12]. Constraints for the free parameters of a given model can be constructed through the analysis of the stationary points and the specific requirements for the stability of the stationary points [24,25,26,27,28] In this piece of work, we study the evolution of the cosmological dynamics for the theory known as Weyl integrable gravity (WIG) [29,30,31,32,33,34,35].
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