Author:
Narasimhamurthy S. K.,Praveen J.
Abstract
AbstractIn this paper, we investigate the concept of cosmological constant-roll inflation within the framework of Finslerian space-time. We approach the theory of cosmic evolution using Finsler geometry, incorporating the parametrization of the anisotropic parameter by the scalar factor a(t) by $$\eta \left( t \right) =a\left( t \right) ^{-n}$$
η
t
=
a
t
-
n
, where n is any real number. Our exploration mainly focuses on constant roll inflation, The analytical expression for Hubble parameter is found by using constant roll condition, and we derive crucial cosmological parameters such as scalar factor a(t), scalar spectral index $$(n_{s})$$
(
n
s
)
, and tensor-to-scalar ratio (r) for the inflationary universe. By using the analytical expressions for slow-roll parameters and the number of e-folds number we have found the values of $$n_{s}$$
n
s
and r. Further, we identify the range of $$\alpha $$
α
values for which the theoretical values of spectral indices align with the observed Planck’s data. This work significantly contributes to our understanding of inflationary dynamics within the context of Finsler geometry.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference53 articles.
1. A.R. Liddle, D.H. Lyth, Cosmological Inflation and Large-scale Structure (Cambridge University Press, Cambridge, 2000)
2. S. Dodelson, F. Schmidt, Modern Cosmology (Academic press, Cambridge, 2020)
3. A.H. Guth, Inflationary Universe: a possible solution to the horizon and flatness problems. Quantum Cosmol 3, 139 (1987)
4. A.H. Guth, S.Y. Pi, Fluctuations in the new inflationary universe. Phys. Rev. Lett. 49(15), 1110 (1982)
5. A.A. Starobinsky, Relict gravitation radiation spectrum and initial state of the universe. JETP Lett. 30(682–685), 131–132 (1979)