Solvegeometry Gravitational Waves
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چکیده
In this letter we construct negatively curved Einstein spaces describing gravitational waves having a solvegeometry wave-front. Using the Einstein solvmanifolds constructed in a previous paper as a starting point, we show that there also exist solvegeometry gravitational waves. Some geometric aspects are discussed and examples of spacetimes having additional symmetries are given, for example, spacetimes generalising the Kaigorodov solution. The solvegeometry gravitational waves are also examples of spacetimes which are indistinguishable by considering the scalar curvature invariants alone.
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ar X iv : g r - qc / 0 40 30 65 v 2 1 6 A ug 2 00 4 SOLVEGEOMETRY GRAVITATIONAL WAVES
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تاریخ انتشار 2004