Group classification of the characteristic initial value equations for a radiating axisymmetric, non-rotating, vacuum spacetime
| Document type: | Journal Articles |
|---|---|
| Article type: | Original article |
| Peer reviewed: | Yes |
| Author(s): | Nail H. Ibragimov, Ewald JH. Wessels, GFR Ellis |
| Title: | Group classification of the characteristic initial value equations for a radiating axisymmetric, non-rotating, vacuum spacetime |
| Journal: | CLASSICAL AND QUANTUM GRAVITY |
| Year: | 2007 |
| Volume: | 24 |
| Issue: | 23 |
| Pagination: | 6007-6017 |
| ISSN: | 0264-9381 |
| Publisher: | IOP PUBLISHING LTD |
| City: | BRISTOL |
| URI/DOI: | 10.1088/0264-9381/24/23/020 |
| ISI number: | 000251428500020 |
| Organization: | Blekinge Institute of Technology |
| Department: | School of Engineering - Dept. Mathematics and Science (Sektionen för teknik – avd. för matematik och naturvetenskap) School of Engineering S- 371 79 Karlskrona +46 455 38 50 00 http://www.tek.bth.se/ |
| Language: | English |
| Abstract: | 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. |
| Subject: | Mathematics\General |
