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Next: 5.2.2 Anti-Newtonian Limit Up: 5.2 Anti-Newtonian Model Previous: 5.2 Anti-Newtonian Model

5.2.1 Vorticity Potential

In an unexpansive spacetime, Eq. (79a) takes the following form:

$\displaystyle C^{6}{}_{a}=\mathrm{curl}{(\omega)_{a}}=0.$ (84)

It defines a vorticity scalar potential $ \Psi$ as

$\displaystyle \omega_{a}=\mathrm{D}_{a}\Psi.$ (85)

In the unexpansive anti-Newtonian model, the linearized vorticity is characterized as the vorticity potential.


Ashkbiz Danehkar
2018-03-26