Group classification of the characteristic initial value equations for a radiating axisymmetric, non-rotating, vacuum spacetime
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences2007 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 24, no 23, 6007-6017 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
BRISTOL: IOP PUBLISHING LTD , 2007. Vol. 24, no 23, 6007-6017 p.
IdentifiersURN: urn:nbn:se:bth-8168DOI: 10.1088/0264-9381/24/23/020ISI: 000251428500020Local ID: oai:bth.se:forskinfo53706093A15E9307C12575B00020F420OAI: oai:DiVA.org:bth-8168DiVA: diva2:835857