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Group classificatio...
Group classification of the characteristic initial value equations for a radiating axisymmetric, non-rotating, vacuum spacetime
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Ibragimov, Nail H. (författare)
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Wessels, Ewald JH. (författare)
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Ellis, GFR (författare)
- 2007-11-21
- 2007
- Engelska.
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Ingår i: Classical and quantum gravity. - BRISTOL : IOP PUBLISHING LTD. - 0264-9381 .- 1361-6382. ; 24:23, s. 6007-6017
- Relaterad länk:
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http://arxiv.org/pdf...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We carry out a Lie group analysis of the Sachs equations for a time-dependent axisymmetric non-rotating spacetime in which the Ricci tensor vanishes. These equations, which are the first two members of the set of Newman-Penrose equations, define the characteristic initial-value problem for the spacetime. We find that the equations admit a five-dimensional equivalence Lie algebra. The initial value function that allows the equations to admit a non-trivial Lie symmetry separates into three disjoint equivalence classes.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
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