Published February 1, 2006
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First and second type self-similar solutions of implosions and explosions containing ultrarelativistic shocks
- Creators
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Sari, Re'em
Abstract
We derive self-similar solutions for ultrarelativistic shock waves propagating into cold material of power law density profile in radius rho[proportional]r^–k. We treat both implosions and explosions in three geometries: planar, cylindrical, and spherical. For spherical explosions these are the first type solutions of Blandford and McKee for k<4; they are the second type solutions found by Best and Sari for k>5–sqrt(3/4). In addition we find new, hollow (with evacuated interior), first type solutions that may be applicable for 4
Additional Information
©2006 American Institute of Physics (Received 27 December 2005; accepted 12 January 2006; published online 24 February 2006) This research was partially supported by a NASA ATP grant. RS is a Packard Fellow and an Alfred P. Sloan Research Fellow.Files
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Additional details
- Eprint ID
- 2726
- Resolver ID
- CaltechAUTHORS:SARpof06.949
- Created
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2006-04-24Created from EPrint's datestamp field
- Updated
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2022-10-05Created from EPrint's last_modified field