Geodesics in nonexpanding impulsive gravitational waves with Λ, part I
Sämann, C., Steinbauer, R., Lecke1, A., Podolský, J.
We investigate the geodesics in the entire class of nonexpanding impulsive
gravitational waves propagating in an (anti-)de Sitter universe using the distributional
form of the metric. Employing a five-dimensional embedding
formalism and a general regularisation technique, we prove the existence and
uniqueness of the geodesics crossing the wave impulse, leading to a completeness
result. We also derive the explicit form of the geodesics, thereby
confirming previous results derived in a heuristic approach.
| type: | article |
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| journal: | Class. Quantum Grav. |
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| volume: | 33 |
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| pages: | 115002 |
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| year: | 2016 |
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