https://doi.org/10.1140/epjc/s10052-024-12385-6
Regular Article - Theoretical Physics
Constant roll inflation and Finsler geometry: exploring anisotropic universe with scalar factor parametrization
Department of P.G Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, 577 451, Shivamogga, Karnataka, India
Received:
21
October
2023
Accepted:
31
December
2023
Published online:
20
January
2024
In 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 
, 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 
, 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 
and r. Further, we identify the range of 
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.
© The Author(s) 2024
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