Автор |
D W Kitchingham |
Дата выпуска |
1984-11-11 |
dc.description |
The SL(2) formalism of Kinnersley and Chitre (1978) for generating techniques in stationary axisymmetric vacuum space-times is adapted to work for space-times with two spacelike commuting Killing vectors. The Kinnersley-Chitre formalism is known to be explicitly related to the inverse scattering transformation of Belinskii and Zakharov (1979) which has already been applied in both types of above mentioned space-times. Using the hyperbolic versions of various Kinnersley-Chitre transformations the interrelation between various vacuum cosmological solutions is obtained. For each solution the Kinnersley-Chitre generating function F<sub>AB</sub>(t) and corresponding Belinskii-Zakharov eigenfunction psi ( lambda ) is given. These vacuum solutions are then converted to scalar field/stiff perfect fluid solutions using the algorithm of Wainwright, Ince and Marshman (1979). |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
The use of generating techniques for space-times with two non-null commuting Killing vectors in vacuum and stiff perfect fluid cosmological models |
Тип |
paper |
DOI |
10.1088/0264-9381/1/6/012 |
Electronic ISSN |
1361-6382 |
Print ISSN |
0264-9381 |
Журнал |
Classical and Quantum Gravity |
Том |
1 |
Первая страница |
677 |
Последняя страница |
694 |
Аффилиация |
D W Kitchingham; Sch. of Math. Sci., Queen Mary Coll., London, UK |
Выпуск |
6 |