Finsler–Randers model for anisotropic constant-roll inflation
Department of PG Studies and Research in Mathematics, Kuvempu University, Jnana Sahyadri, Shankaraghatta, 577 451, Shivamogga, Karnataka, India
2 Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur, Uttar Pradesh, India
3 Department of Mathematics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Mazandaran, Iran
Accepted: 9 December 2022
Published online: 31 December 2022
In this work, we study constant-roll inflation driven by a scalar field with the Finsler model. In this scenario, using the Hamilton–Jacobi-like formalism, an ansatz for the Hubble parameter (as a function of the scalar field), and some restrictions on the model parameters, we found new exact solutions for the inflaton potential, which include power-law, and hybrid among others. In this model, even-order slow-roll parameters approach non-negligible constants while their odd-order is asymptotically zero.
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