Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-05-18
Class.Quant.Grav. 18 (2001) 2689-2706
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, 3 figures, LaTeX 2e. To appear in Class. Quantum Grav
Scientific paper
10.1088/0264-9381/18/14/307
We consider a class of exact solutions which represent nonexpanding impulsive waves in backgrounds with nonzero cosmological constant. Using a convenient 5-dimensional formalism it is shown that these spacetimes admit at least three global Killing vector fields. The same geometrical approach enables us to find all geodesics in a simple explicit form and describe the effect of impulsive waves on test particles. Timelike geodesics in the axially-symmetric Hotta-Tanaka spacetime are studied in detail. It is also demonstrated that for vanishing cosmological constant, the symmetries and geodesics reduce to those for well-known impulsive pp-waves.
Ortaggio Marcello
Podolsky Jiri
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