Almog Yalinewich - RandoAstro -13.2.20
If you've seen one GRB,
you've seen just one GRB
null periods
SN 1998bw
GRB 980425
Acceleration
Projectile motion
Instability evolution
Equation of motion
Velocity pressure relation? Riemann invariants
Isentropic relation
Sound speed
Acoustic relation
Extrapolation
Ideal gas
High k - grow fast and saturate fast
Low k - grow slow
optimal k determined by bullet width
x
p
contact with pressure behind
Bullet expands adiabatically after the first shock
but in this case this is independent of time
Either happens in the very beginning, or never
Perturbation growth
Even in spherical geometry
Motion with uniform acceleration
Lorentz boost to instantaneously comoving frame
Rest frame quantities
Relativistic beaming
Wide jets
Narrow jets
Relativistic inertia effect pm growth rate
Breakup time
Grows with time!
Using typical values, breakup time in the lab frame
Observer time