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Conservation Laws of Einstein’s Field Equations for Pure Radiation Fields

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Proceedings of International Conference on Trends in Computational and Cognitive Engineering

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1169))

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Abstract

In the present paper, conservation laws of some of Einstein’s field equations are obtained. Two methods are used to obtain conservation laws. Firstly, direct method via multiplier approach is used and then, new conservation theorem to construct new conserved vectors using Lie symmetries.

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References

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Acknowledgments

Radhika, Rajesh Kumar Gupta and Sachin Kumar thank the National Board of Higher Mathematics for financial support provided through Ref. No. 2/48(16)/2016/NBHM(R.P.)/R&D II/14982.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, 151001, Punjab, India

    Radhika & Sachin Kumar

  2. Department of Mathematics, Central University of Haryana, Mahendragarh, 123029, Haryana, India

    R. K. Gupta

  3. Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, 151001, Punjab, India

    R. K. Gupta

Authors
  1. Radhika
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  2. R. K. Gupta
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  3. Sachin Kumar
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Corresponding author

Correspondence to R. K. Gupta .

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Editors and Affiliations

  1. Central University of Haryana, Mahendergarh, India

    Phool Singh

  2. Central University of Haryana, Mahendergarh, India

    Rajesh Kumar Gupta

  3. Amity School of Applied Sciences, Amity School of Engineering and Technology (ASET), Jaipur, Rajasthan, India

    Kanad Ray

  4. Surface Characterization Group, National Institute for Materials Science (NIMS), Tsukuba, Ibaraki, Japan

    Anirban Bandyopadhyay

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Cite this paper

Radhika, Gupta, R.K., Kumar, S. (2021). Conservation Laws of Einstein’s Field Equations for Pure Radiation Fields. In: Singh, P., Gupta, R.K., Ray, K., Bandyopadhyay, A. (eds) Proceedings of International Conference on Trends in Computational and Cognitive Engineering. Advances in Intelligent Systems and Computing, vol 1169. Springer, Singapore. https://doi.org/10.1007/978-981-15-5414-8_27

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