Exterior Calculus and Differential Forms?

[Phrak]

Would this be the right forum to pose questions on this topic?

 

[robphy]

Would this be the right forum to pose questions on this topic?

yes, it is.

 

[Phrak]

thanks for responding robphy!

I'm looking for sinusoidal solutions to a 1-form field, A on a psuedo-Riemann manifold (-,+,+,+).

*d*d*A=0 yields a set of solutions, but I don't know if it's the most general case.

There's an operator (d + \delta)^2, where \delta = *d* called the Laplace-Beltrami that might apply as (*d*d* + d*d*)A=0.

After some very tedious expansion over time and spatial indices it collapses to the deAlembertian,
\box{A} = 0.

Which operator is most general?

Even 4th and higher order equations are available as (*d*d*d*d + d*d*d*d* + etc.)A=0.

 

[Phrak]

Where might I find a physics forum where I could address individuals who are actually capable in this field?