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Static conformal elastic solution of Einstein’s field equations

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Abstract

In this paper, we study new exact solutions of Einstein’s field equations (EFEs) using relativistic elasticity theory. We construct the static conformal elastic solution by applying conformal transformations to the Reissner–Nordstr\(\ddot{\text {o}}\)m–de Sitter solution. The conformal factors for static space–time structure with an elastic matter are obtained. Further, we analyse the viability of energy conditions and also discuss the matching problem with the exterior space–time.

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Acknowledgements

The author H M Manjunatha is very much grateful to the Karnataka Science and Technology Promotion Society (KSTePS), Department of Science and Technology (DST), Govt. of Karnataka (Award Letter No. OTH-04: 2018-19), for awarding DST-Ph.D. Fellowship. The authors are also grateful to the honourable referee and the editor for their valuable comments and suggestions, which have improved the paper substantially.

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Authors and Affiliations

  1. Department of PG Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, 577 451, India

    H M Manjunatha & S K Narasimhamurthy

  2. Department of Mathematics, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran

    Z Nekouee

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  1. H M Manjunatha
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  2. S K Narasimhamurthy
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  3. Z Nekouee
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Correspondence to S K Narasimhamurthy.

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Manjunatha, H.M., Narasimhamurthy, S.K. & Nekouee, Z. Static conformal elastic solution of Einstein’s field equations. Pramana - J Phys 96, 193 (2022). https://doi.org/10.1007/s12043-022-02425-9

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  • DOI: https://doi.org/10.1007/s12043-022-02425-9

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