Abstract
A viable model for inflation driven by a torsion function in a Friedmann background is presented. The scalar spectral index in the interval 0.92lesssim n_{s}lesssim 0.97 is obtained in order to satisfy the initial conditions for inflation. The post inflationary phase is also studied, and the analytical solutions obtained for scale factor and energy density generalizes that ones for a matter dominated universe, indicating just a small deviation from the standard model evolution. The same kind of torsion function used also describes satisfactorily the recent acceleration of the universe, which could indicate a possible unification of different phases, apart form specific constants
Highlights
1 Introduction In Quantum Field Theory, the irreducible and unitary representations of the Poincaré group corresponds to stable particles; these representations are given by mass and spin
Poincaré–Lie algebra can be classified by two values of the Casimir operator, which are the square of the mass, m2, and the square of the angular momentum, S2 = s(s + 1), where s is the particle’s spin [1]
We extend the analysis based on the specific torsion function given by Eq (7), previously studied in [14] and which is totally compatible with recent accelerated universe, in order to describe the inflationary period, in addition to an analysis of scalar and tensor perturbation theory and determination of the spectral index ns
Summary
In Quantum Field Theory, the irreducible and unitary representations of the Poincaré group corresponds to stable particles; these representations are given by mass and spin. A Friedmann-like universe with weak torsion was studied in [13] in a dynamical system approach Motivated by these latest works, Pereira et al [14] have assumed more general expressions to torsion function, some of them proportional to matter density and other free parameters, and analyzed the constraints of the free parameters with current observational data in order to reproduce the current accelerated expansion of the universe. We extend the analysis based on the specific torsion function given by Eq (7), previously studied in [14] and which is totally compatible with recent accelerated universe, in order to describe the inflationary period, in addition to an analysis of scalar and tensor perturbation theory and determination of the spectral index ns.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
