Symmetries and geodesics in (anti–)de Sitter spacetimes with nonexpanding impulsive waves
نویسنده
چکیده
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 axiallysymmetric 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. PACS: 04.20.Jb; 04.30.Nk
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تاریخ انتشار 2008