Computer Science – Sound
Scientific paper
Feb 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..37..869h&link_type=abstract
Physical Review D (Particles and Fields), Volume 37, Issue 4, 15 February 1988, pp.869-876
Computer Science
Sound
12
Particle-Theory And Field-Theory Models Of The Early Universe, Exact Solutions
Scientific paper
The motion of a relativistic perfect fluid in the spacetime of a static, cylindrically symmetric, cosmic string is studied. The fluid equations are solved to first order in μ, the mass per unit length of the string (μ~=10-6 for typical grand unified theories), for subsonic flow of a relativistic fluid with arbitrary equation of state past a cosmic string. As the adiabatic sound speed (∂p/∂ρ)1/2s is approached, a shock forms, orthogonal to the flow and containing the string. The formalism developed by Taub for treating shocks in relativistic perfect fluids is applied to supersonic flow past a cosmic string. The shock equations are then solved for weak shocks in a fluid with an arbitrary equation of state, and also in the (extreme) strong-shock limit for an arbitrary equation of state which approaches an ideal gas in its high-temperature limit. We find that strongly shocked fluid forms a dense, thin sheet behind the string, as expected. The density contrast across the shock remains small until the four-velocity of the string is at least of order μ-1 times the sound four-velocity.
Hiscock William A.
Lail Bryan J.
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