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Reconstruction of f(R) Lagrangian from a massive scalar field

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Abstract

A reconstruction scheme from a minimally coupled self-interacting scalar field is discussed in the regime of f(R) gravity. This involves a direct way to solve the system of equations for some well-known form of self-interaction potential. For a power law or combination of power law potential, the scheme originates from a theorem of invertible point transformation and integrability of anharmonic oscillator equations. A case with exponential self-interaction potential is also included. The viability of the f(R) models is discussed in brief.

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Acknowledgements

SC sincerely thanks Prof. Sayan Kar for insightful discussions. SC was supported by the National Post-Doctoral Fellowship (File Number: PDF/2017/000750) from the Science and Engineering Research Board (SERB), Government of India. The work of KB was partially supported by the JSPS KAKENHI Grant Number JP 25800136 and Competitive Research Funds for Fukushima University Faculty (18RI009).

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Authors and Affiliations

  1. Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur, West Bengal, 721 302, India

    Soumya Chakrabarti

  2. Institute of Space Sciences and Astronomy, University of Malta, Msida, MSD 2080, Malta

    Jackson Levi Said

  3. Department of Physics, University of Malta, Msida, MSD 2080, Malta

    Jackson Levi Said

  4. Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima, 960-1296, Japan

    Kazuharu Bamba

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  1. Soumya Chakrabarti
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  2. Jackson Levi Said
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Correspondence to Soumya Chakrabarti.

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Chakrabarti, S., Said, J.L. & Bamba, K. Reconstruction of f(R) Lagrangian from a massive scalar field. Gen Relativ Gravit 52, 7 (2020). https://doi.org/10.1007/s10714-019-2655-6

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