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Finsler–Randers model for anisotropic constant-roll inflation

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Abstract

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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Acknowledgements

The author Z. Nekouee is very grateful to Department of PG Studies and Research in Mathematics, Kuvempu University for providing the opportunity for a post-doctoral researcher position, and also like to thank Professor S. K. Narasimhamurthy, the research supervisor, for his passionate support and constructive criticisms of this study effort. We are also grateful to the honorable referee and the editor for their valuable comments and suggestions, which have enabled us to improve the manuscript substantially.

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Authors and Affiliations

  1. Department of PG Studies and Research in Mathematics, Kuvempu University, Jnana Sahyadri, Shankaraghatta, Shivamogga, Karnataka, 577 451, India

    Z. Nekouee, S. K. Narasimhamurthy & H. M. Manjunatha

  2. Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur, Uttar Pradesh, India

    S. K. Srivastava

  3. Department of Mathematics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Mazandaran, Iran

    Z. Nekouee

Authors
  1. Z. Nekouee
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  2. S. K. Narasimhamurthy
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  3. H. M. Manjunatha
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  4. S. K. Srivastava
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Contributions

ZN: analysis, Plotting graphs, Writing manuscript. SKN: Editing and analysis. HMM and SKS: Reviewing and Editing.

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Correspondence to S. K. Narasimhamurthy.

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The authors declare no competing interests.

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Nekouee, Z., Narasimhamurthy, S.K., Manjunatha, H.M. et al. Finsler–Randers model for anisotropic constant-roll inflation. Eur. Phys. J. Plus 137, 1388 (2022). https://doi.org/10.1140/epjp/s13360-022-03582-x

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