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Zbl 1186.83092
Narain, R.; Kara, A.H.
The Noether conservation laws of some Vaidiya metrics. (English)
[J] Int. J. Theor. Phys. 49, No. 2, 260-269 (2010). ISSN 0020-7748; ISSN 1572-9575/e

Summary: In this paper, we show that a large amount information can be extracted from a knowledge of the vector fields that leave the action integral invariant, viz., Noether symmetries. In addition to a larger class of conservation laws than those given by the isometries or Killing vectors, we may conclude what the isometries are and that these form a Lie subalgebra of the Noether symmetry algebra. We perform our analysis on versions of the Vaidiya metric yielding some previously unknown information regarding the corresponding manifold. Lastly, with particular reference to this metric, we show that the only variations on $m(u)$ that occur are $m=0$, $m=\text {constant}$, $m=u$ and $m=m(u)$.

MSC 2000:: *83C57 Black holes
94A17 Measures of information
83C40 Groups of motions, etc.

Keywords: Vaidiya metric; conservation laws; Noether symmetries

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