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Invariant solutions of Einstein field equations in pure radiation fields

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Abstract

The exact static accelerating solutions of Einstein’s equations in the non-comoving pure radiation fields, with an indefinite non-degenerate stationary metric in cylindrical coordinates, are obtained. The considered space-time is of Petrov type I and is not conformally flat. Moreover, the classical symmetry method is used for symmetry reduction and finding the solutions in terms of hyperbolic functions. The conservation laws are found by using the multiplier approach.

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Acknowledgements

The second author (Divya Jyoti) is very much thankful to CSIR for providing financial assistance in terms of JRF fellowship via letter with Sr. No. 1061841352 and Ref. No. 17/06/2018(i)EU-V.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, School of Basic Sciences, Central University of Punjab, Bathinda, Punjab, 151401, India

    Sachin Kumar & Divya Jyoti

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  1. Sachin Kumar
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  2. Divya Jyoti
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Correspondence to Divya Jyoti.

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Kumar, S., Jyoti, D. Invariant solutions of Einstein field equations in pure radiation fields. Indian J Phys 96, 1283–1288 (2022). https://doi.org/10.1007/s12648-021-02034-z

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