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Scalar Field Cosmology with Powerlaw and Hybrid Expansion Law in Symmetric Teleparallel Gravity

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Abstract

Recently, scalar field approaches have been widely considered in cosmological models due to their potential for useful investigation of the cosmological evolution of the Universe. The use of a scalar field as a matter source in a cosmological model within symmetric teleparallel gravity is as interesting as many other modified gravity models sourced by a scalar field. In this paper, we investigate the repercussions of power law and hybrid expansion laws in symmetric teleparallel gravity using an associated scalar field as a total matter source. We find that for both models, a normal scalar field is required to provide a viable description of the Universe’s evolution, as opposed to a phantom scalar field, from an ad-hoc introduction of these two expansion laws. To back up this method of implementing these two ad-hoc expansion laws we also examined the evolution of the Hubble parameter by solving the Raychaudhuri equation which yields power law solutions in early radiation and matter dominated epochs and de-Sitter like solution in late Universe. We analysed this evolution in relation to observed Hubble data and found that the dependence of the model parameters in reproducing various epochs of the Universe is non-minimal. Furthermore, to test the stability of our models, we looked into the evolution of the speed of sound squared, which indicates that our models are stable to density perturbations. Finally, we utilize the geometrical method of \(\varvec{Om}\) diagnostics to conclude that our model exhibits quintessence like behaviour.

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  1. Department of Physics, Dibrugarh University, Dibrugarh, 786004, Assam, India

    Mrinnoy M. Gohain, Rajdeep Mazumdar, Shama Tanveer & Kalyan Bhuyan

  2. Department of Physics, D.H.S.K College, Dibrugarh, 786001, Assam, India

    Mrinnoy M. Gohain, Syeda Sanjida Aafreen, Shilpi Pandey & Aditya Dahal

  3. Dibru College, Dibrugarh, 786003, Assam, India

    Ranjan Changmai

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M.M.G contributed to the idea, implementation, typesetting and carried out the work in Sections 7, 8, 9. R.M. carried out the work contained in Section 5.2 and and inserted the references. S.T. carried out the work contained in Section 6. S.S.A carried out the calculations contained in the Section 5.1. S.P. prepared the figures contained in Section 5.1. K.B. contributed to the implementation of the MCMC sampling in the work and proof-reading of the manuscript. R.C contributed to the proof-reading of the manuscript. A.D. contributed to the proof-reading and a few reference insertions in the manuscript.

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Mrinnoy M. Gohain, Rajdeep Mazumdar, Shama Tanveer, Syeda Sanjida Aafreen, Shilpi Pandey, Kalyan Bhuyan, Ranjan Changmai and Aditya Dahal are contributed equally to this work.

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Gohain, M.M., Mazumdar, R., Tanveer, S. et al. Scalar Field Cosmology with Powerlaw and Hybrid Expansion Law in Symmetric Teleparallel Gravity. Int J Theor Phys 62, 213 (2023). https://doi.org/10.1007/s10773-023-05470-1

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