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Electromagnetic field and quasi-homologous constraint for spherical fluids in f(R, T) gravity

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Abstract

This article illustrates the effects of extra curvature terms on the dynamics of the evolving fluid, by following the program outlined in [48], but now for the charged fluid in the context of f(R, T) theory. We evaluate the complexity of self-gravitating objects that satisfy the quasi-homologous constraint and zero complexity factor. For this purpose, we have formulated the Maxwell-f(R, T) gravitation equations. The complexity factor \({\mathcal {Y}}_{TF}\) is found by the orthogonal decomposition of the Riemann curvature tensor. The scalar researchers to s \({\mathcal {Y}}_{TF}\) contains the contributions of charge terms along with f(R, T) terms which increased the complexity of the self-gravitating system. By setting \({\mathcal {Y}}_{TF}=0\) as well as quasi-homologous constraint, we have formulated various solutions for the modified field equation. Some solutions fulfill the Darmois constraint. However, some of them fulfill the Israel constraint on the exterior and interior surfaces.

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All data generated or analyzed during this study are included in this published article (and its supplementary information files).

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Acknowledgements

This work has been supported financially by National Research Project for Universities (NRPU), Higher Education Commission Pakistan under research Project No. 8754.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-i-Azam Campus, Lahore, 54590, Pakistan

    Z. Yousaf, M. Z. Bhatti & A. Ali

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  1. Z. Yousaf
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Correspondence to Z. Yousaf.

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Yousaf, Z., Bhatti, M.Z. & Ali, A. Electromagnetic field and quasi-homologous constraint for spherical fluids in f(R, T) gravity. Eur. Phys. J. Plus 136, 1013 (2021). https://doi.org/10.1140/epjp/s13360-021-01962-3

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