Gravitational radiation from cosmic string splitting on a Friedmann-Robertson-Walker background
- 33 Downloads
We present exact solutions of Einstein's equations that may be interpreted as representing the splitting of a primordial cosmic string imbedded in a perfect fluid Friedmann-Robertson-Walker (FRW) cosmology. The splitting leads to the creation of a ‘bubble’ whose boundary is given by a gravitational shock wave, expanding from the point of splitting, associated to the motion of the free ends of the string. Inside the bubble we have a perturbed FRW metric. This perturbation is largest near the string ends, producing a sort of ‘wake’ along the path of the free ends, but decreases rapidly with time and the metric approaches the FRW regime locally everywhere inside the bubble. Similar results are shown to hold also for flat vacuum de Sitter space-times.
KeywordsRadiation Shock Wave Exact Solution Perfect Fluid Cosmic String
Unable to display preview. Download preview PDF.
- Brandenberger, R.: 1987,Int. J. Mod. Phys. A, 2, 77.Google Scholar
- Dyer, C. C., Oattes, L. M., and Starkman, G. D.: 1988,Gen. Rel. Grav. 20, 71.Google Scholar
- Gleiser, R. and Pullin, J.: 1989,Class. Quant. Grav. 6, L141.Google Scholar
- Penrose, R.: 1972, in L. O'Raifeartaigh (ed.), ‘The Geometry of Impulsive Gravitational Waves’,General Relativity, Clarendon Press, Oxford, pp. 101–118.Google Scholar
- Taub, A. H.: 1980,J. Math. Phys. 21, 1423.Google Scholar