Cosmological evolution and dark energy in osculating Barthel–Randers geometry

Abstract

We consider the cosmological evolution in an osculating point Barthel–Randers type geometry, in which to each point of the space-time manifold an arbitrary point vector field is associated. This Finsler type geometry is assumed to describe the physical properties of the gravitational field, as well as the cosmological dynamics. For the Barthel–Randers geometry the connection is given by the Levi-Civita connection of the associated Riemann metric. The generalized Friedmann equations in the Barthel–Randers geometry are obtained by considering that the background Riemannian metric in the Randers line element is of Friedmann–Lemaitre–Robertson–Walker type. The matter energy balance equation is derived, and it is interpreted from the point of view of the thermodynamics of irreversible processes in the presence of particle creation. The cosmological properties of the model are investigated in detail, and it is shown that the model admits a de Sitter type solution, and that an effective cosmological constant can also be generated. Several exact cosmological solutions are also obtained. A comparison of three specific models with the observational data and with the standard $$\Lambda $$ Λ CDM model is also performed by fitting the observed values of the Hubble parameter, with the models giving a satisfactory description of the observations.

Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry

“…respectively, where A, B, C, D, E ∈ {0, 1, 2, 3}. For further details on the definitions of the affine connections and of the curvature tensors see [100], and references therein.…”

“…The physical and cosmological implications of the Finsler geometry have been investigated from different point of view in . In particular, in [100] the cosmological evolution in an osculating point Barthel-Randers type geometry was considered. In this type of geometry to each point of the space-time manifold an arbitrary point vector field is associated.…”

“…The parameter of the dark energy equation of state can take values either in the quintessence or in the phantom regimes, or indicating the phantom-divide crossing. It is the goal of the present paper to extend the investigations of the cosmological properties of the Finsler spaces, as initiated in [100], by considering a systematic investigation of another Finsler type geometry, which is based on the Kropina metric [101,102], a particular class of the general (α, β) metrics with F = α 2 /β. The Randers metric also belongs to the class of (α, β) metrics.…”

Dark energy and accelerating cosmological evolution from osculating Barthel–Kropina geometry

“…The physical and cosmological implications of the Finsler geometry have been investigated from different points of view in . In particular, in [100], the cosmological evolution in an osculating point Barthel-Randers type geometry was considered. In this type of geometry, each point of the spacetime manifold is associated with an arbitrary point vector field.…”

Gravitational induced particle production in scalar-tensor $f(R,T)$ gravity

“…A covariant formulation of the irreversible thermodynamics was developed in [73]. In fact, irreversible thermodynamics and thermodynamics of open systems is a widely studied field, since it is useful in various applications [74][75][76][77][78][79][80][81][82][83][84].…”