Impulsive waves in the Nariai universe
arXiv:gr-qc/0110126 · doi:10.1103/PhysRevD.65.084046
Abstract
A new class of exact solutions is presented which describes impulsive waves propagating in the Nariai universe. It is constructed using a six-dimensional embedding formalism adapted to the background. Due to the topology of the latter, the wave front consists of two non-expanding spheres. Special sub-classes representing pure gravitational waves (generated by null particles with an arbitrary multipole structure) or shells of null dust are analyzed in detail. Smooth isometries of the metrics are briefly discussed. Furthermore, it is shown that the considered solutions are impulsive members of a more general family of radiative Kundt spacetimes of type-II. A straightforward generalization to impulsive waves in the anti-Nariai and Bertotti-Robinson backgrounds is described. For a vanishing cosmological constant and electromagnetic field, results for well known impulsive pp-waves are recovered.
9 pages, 4 figures, REVTeX 4. v3: added Appendix B, revised references, minor changes in the text. To appear in Phys. Rev. D
References in corpus (15)
- Duality between Electric and Magnetic Black Holes
- Pair Creation of Black Holes During Inflation
- On Gravitational Shock Waves in Curved Spacetimes
- The structure of the extreme Schwarzschild-de Sitter space-time
- The Ultrarelativistic Kerr-Geometry and its Energy-Momentum Tensor
- Charged Nariai Black Holes With a Dilaton
- Impulsive waves in de Sitter and anti-de Sitter space-times generated by null particles with an arbitrary multipole structure
- Generalized Symmetries of Impulsive Gravitational Waves
- Symmetries and geodesics in (anti-)de Sitter spacetimes with nonexpanding impulsive waves
- Boosted static multipole particles as sources of impulsive gravitational waves
- Non-expanding impulsive gravitational waves
- Symmetries of pp-Waves with Distributional Profile
- Light-like Signals in General relativity and Cosmology
- Some Physical Consequences of Abrupt Changes in the Multipole Moments of a Gravitating Body
- Generalized Kerr Schild metrics and the gravitational field of a massless particle on the horizon
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- The extremal limits of the C-metric: Nariai, Bertotti-Robinson and anti-Nariai C-metrics
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- On Curvature properties of Nariai Spacetimes
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- Explicit algebraic classification of Kundt geometries in any dimension
- Physical interpretation of Kundt spacetimes using geodesic deviation
- Black holes and other spherical solutions in quadratic gravity with a cosmological constant
- Universal electromagnetic fields
- Einstein-Maxwell fields as solutions of higher-order theories
- Charged perfect fluids in the presence of a cosmological constant
- Generalized Nariai Solutions for Yang-type Monopoles
- Generalized Charged Nariai Solutions in Arbitrary Even Dimensions with Multiple Magnetic Charges
- Extensions of the generalized hedgehog ansatz for the Einstein-nonlinear -model system: black holes with NUT, black strings and time-dependent solutions
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