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Inflation in f(R, T) gravity

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Abstract

The article presents modeling of inflationary scenarios for the first time in the f(R, T) theory of gravity. We assume the f(R, T) functional form to be \(R + \eta T\), where R denotes the Ricci scalar, T the trace of the energy-momentum tensor and \(\eta \) the model parameter (constant). We first investigated an inflationary scenario where the inflation is driven purely due to geometric effects outside of GR. We found the inflation observables to be independent of the number of e-foldings in this setup. The computed value of the spectral index is consistent with latest Planck 2018 dataset while the scalar to tensor ratio is a bit higher. We then proceeded to analyze the behavior of an inflation driven by f(R, T) gravity coupled with a real scalar field. By taking the slow-roll approximation, we generated interesting scenarios where a Klein Gordon potential leads to observationally consistent inflation observables. Our results make it clear-cut that in addition to the Ricci scalar and scalar fields, the trace of energy momentum tensor also plays a major role in driving inflationary scenarios.

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Acknowledgements

SB thanks Andrew R. Liddle for helpful discussions. JRLS would like to thank CNPq for financial support, Grant 420479/2018-0, and CAPES. PKS acknowledges CSIR, New Delhi, India for financial support to carry out the Research Project [No.03(1454)/19/EMR-II Dt.02/08/2019]. PHRSM thanks CAPES for financial support. We are very much grateful to the honorable referee and the editor for the illuminating suggestions that have significantly improved our work in terms of research quality and presentation.

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Authors and Affiliations

  1. Department of Astronomy, Osmania University, Hyderabad, 500007, India

    Snehasish Bhattacharjee

  2. UFCG - Universidade Federal de Campina Grande - Unidade Acadêmica de Física, Campina Grande, PB, 58429-900, Brazil

    J. R. L. Santos

  3. Instituto de Astronomia, Geofísica e Ciências Atmosféricas, Universidade de São Paulo, São Paulo, SP, 05508-090, Brazil

    P. H. R. S. Moraes

  4. Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad, 500078, India

    P. K. Sahoo

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  1. Snehasish Bhattacharjee
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  2. J. R. L. Santos
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  3. P. H. R. S. Moraes
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  4. P. K. Sahoo
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Correspondence to P. K. Sahoo.

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Bhattacharjee, S., Santos, J.R.L., Moraes, P.H.R.S. et al. Inflation in f(R, T) gravity. Eur. Phys. J. Plus 135, 576 (2020). https://doi.org/10.1140/epjp/s13360-020-00583-6

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