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Invariances and Conservation Laws Based on Some FRW Universes

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Abstract

A symmetry analysis of some special classes of Friedmann-Robertson-Walker (FRW) universe and nonlinear wave equations in this geometry are performed. Conserved forms for the wave equation are constructed by the application of Noether’s theorem. We illustrate how the symmetry structure is used to reduce the wave equation leading to some exact solutions.

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Acknowledgements

This work was supported by Akdeniz University, Scientific Research Projects Unit. S. Jamal would like to thank the National Research Foundation of South Africa for financial support.

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Authors and Affiliations

  1. Department of Physics, Akdeniz University, 07058, Antalya, Turkey

    U. Camci

  2. School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits 2001, Johannesburg, South Africa

    S. Jamal & A. H. Kara

Authors
  1. U. Camci
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  2. S. Jamal
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  3. A. H. Kara
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Correspondence to A. H. Kara.

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Camci, U., Jamal, S. & Kara, A.H. Invariances and Conservation Laws Based on Some FRW Universes. Int J Theor Phys 53, 1483–1494 (2014). https://doi.org/10.1007/s10773-013-1948-x

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  • DOI: https://doi.org/10.1007/s10773-013-1948-x

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