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Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries

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Abstract

Noether symmetries of some of the well known spherically symmetric static solutions of the Einstein’s field equations are classified. The resulting Noether symmetries in each case are compared with conservation laws given by Killing vectors and collineations of the Ricci and Riemann tensors for corresponding solutions.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Ashfaque H. Bokhari & F. D. Zaman

  2. Department of Mathematics, Eastern University, Vantharumoolai, 30350, Sri Lanka

    A. G. Johnpillai

  3. School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits, 2050, Johannesburg, South Africa

    A. H. Kara

  4. School of Computational and Applied Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits, 2050, South Africa

    F. M. Mahomed

Authors
  1. Ashfaque H. Bokhari
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  2. A. G. Johnpillai
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  3. A. H. Kara
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  4. F. M. Mahomed
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  5. F. D. Zaman
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Correspondence to A. G. Johnpillai.

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Bokhari, A.H., Johnpillai, A.G., Kara, A.H. et al. Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries. Int J Theor Phys 52, 3534–3542 (2013). https://doi.org/10.1007/s10773-013-1656-6

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  • DOI: https://doi.org/10.1007/s10773-013-1656-6

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