Refraction of geodesics by impulsive spherical gravitational waves in constant-curvature spacetimes with a cosmological constant
Podolský, J.; Švarc, R.
We investigate motion of test particles in exact spacetimes with an expanding impulsive gravitational wave which propagates in a Minkowski, a de Sitter, or an anti-de Sitter universe. Using the continuous form of these metrics we derive explicit junction conditions and simple refraction formulas for null, timelike, and spacelike geodesics crossing a general impulse of this type. In particular, we present a detailed geometrical description of the motion of test particles in a special class of axially symmetric spacetimes in which the impulse is generated by a snapped cosmic string.
type: | article |
journal: | Phys. Rev. D |
volume: | 81 |
nr: | 12 |
pages: | 124035 |
year: | 2010 |
month: | 6 |
eprint: | arXiv:1005.4613v2 |
grants: | Exact solutions in higher dimensional and classical gravity, GAČR 202/08/0187; 2008-2011; hlavní řešitel: Jiří PodolskýGeneral relativity and its applications in astrophysics and cosmology, GAČR 205/09/H033; 2009-2012; hlavní řešitel: Oldřich Semerák, doktorandský grantFyzikální studium objektů a procesů ve sluneční soustavě a v astro-fyzikálních systémech, výzkumný záměr MSM0021620860; 2007-2013; hlavní řešitel: Jiří Bičák |