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Lie symmetries of the Ricci and energy-momentum tensors

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Abstract.

Though the Ricci and energy-momentum tensors have the same algebraic symmetries and appear in a similar way in the Einstein equations, in that interchanging them and inverting the gravitational coupling leaves the equations invariant, their differential symmetry Lie algebras are not identical in general. For cylindrically symmetric static spacetimes their inter-relationship is studied in this paper. Neither set of symmetries is a subset of the other in general.

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Authors and Affiliations

  1. Faculty of Engineering Sciences, Ghulam Ishaq Khan Institute of Engineering Sciences and Technology, Topi, Khyber Pakhtunkhwa, Pakistan

    Hina Khan

  2. Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, Islamabad, Pakistan

    Asghar Qadir

  3. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    K. Saifullah

  4. Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Oman

    M. Ziad

Authors
  1. Hina Khan
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  2. Asghar Qadir
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  3. K. Saifullah
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  4. M. Ziad
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Corresponding author

Correspondence to K. Saifullah.

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Khan, H., Qadir, A., Saifullah, K. et al. Lie symmetries of the Ricci and energy-momentum tensors. Eur. Phys. J. Plus 128, 144 (2013). https://doi.org/10.1140/epjp/i2013-13144-7

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  • DOI: https://doi.org/10.1140/epjp/i2013-13144-7

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