Computation of the conformal algebra of 1 + 3 decomposable spacetimes
Michael Tsamparlis; Dimitris Nikolopoulos; Pantelis S Apostolopoulos; Michael Tsamparlis; Department of Physics, Section of Astronomy-Astrophysics-Mechanics, University of Athens, Panepistemiopolis, Athens 157 83, Greece; Dimitris Nikolopoulos; Department of Physics, Section of Astronomy-Astrophysics-Mechanics, University of Athens, Panepistemiopolis, Athens 157 83, Greece; Pantelis S Apostolopoulos; Department of Physics, Section of Astronomy-Astrophysics-Mechanics, University of Athens, Panepistemiopolis, Athens 157 83, Greece
Журнал:
Classical and Quantum Gravity
Дата:
1998-09-01
Аннотация:
The conformal algebra of a 1 + 3 decomposable spacetime can be computed from the conformal Killing vectors (CKV) of the 3-space. It is shown that the general form of such a 3-CKV is the sum of a gradient CKV and a Killing or homothetic 3-vector. It is proved that spaces of constant curvature always admit such conformal Killing vectors. As an example, the complete conformal algebra of a Gödel-type spacetime is computed. Finally it is shown that this method can be extended to compute the conformal algebra of more general non-decomposable spacetimes.
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