Gamma = 2 PF Critical Solution

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• ODE solution
• Take CSS ansatz, reduce PDEs to ODEs, which can be solved using LSODE in Maple.  Notice that in constrast to the ODE solutions for Gamma < 2, here the ODE solver merrily computes a solution with v > 1 and omega < 0.
• The following are PostScript plots showing Carsten's SF solution (RED,SOLID lines) with the PF solution (BLUE,DASHED lines).  (I follow Carsten's convention, and plot 1/v when v > 1.)
•  a (ODE)
•  omega (ODE)
•  v (ODE)
• The raw data files for a, omega, and v (using x = r/|t|).
•  a (data)
•  omega (data)
•  v (data)

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• PDE solution
• These solutions obtained by solving the full Einstein/fluid PDEs. The evolution code imposes a floor, or minimum allowable value for rho (actually other variables related to rho).
•  metric function a (with shift)
•  fluid function omega (with shift)
•  metric function v (with shift)
•  The raw data files
• a (data)
• omega (data)
• v (data)