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On Symmetries and Conservation Laws of Einstein–Maxwell Equations for Non-static Cylindrical Symmetric Metric

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Abstract

In this paper, Einstein–Maxwell equations for non-static cylindrical symmetric metric are investigated to find Lie’s infinitesimal symmetries. The new conservation theorem with nonlinear self-adjointness and direct method of multipliers are utilized to obtain the conservation laws. The system of Einstein–Maxwell equations has also been proved to be nonlinear self-adjoint by using criterion given by Ibragimov.

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Authors and Affiliations

  1. Department of Mathematics, School of Physical and Mathematical Sciences, Central University of Haryana, Mahendergarh, Haryana, 123031, India

    R. K. Gupta

  2. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, 147004, India

    Bikramjeet Kaur

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  1. R. K. Gupta
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  2. Bikramjeet Kaur
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Gupta, R.K., Kaur, B. On Symmetries and Conservation Laws of Einstein–Maxwell Equations for Non-static Cylindrical Symmetric Metric. Int. J. Appl. Comput. Math 7, 238 (2021). https://doi.org/10.1007/s40819-021-01161-9

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