Researching an Alternative Theory to General Relativity

[wofsy]

In classical mechanics one can give space a metric whose geodesics are the paths of a particle in a given potential.

I wonder if this technique can be applied for gravitational potentials. The hard part would be defining the geometry in a relativistic setting (special) where measurement of elapsed time is coordinate frame dependent.

Still who knows. It might be possible to derive an alternative theory to general relativity along these lines.

Does anyone know of research on this?

 

[LithiumHelios]

http://en.wikipedia.org/wiki/Einstein–Hilbert_action
http://en.wikipedia.org/wiki/Brans-Dicke_theory
http://en.wikipedia.org/wiki/F(R)_gravity

Are these the kind of applications you were thinking of?

 

[wofsy]

http://en.wikipedia.org/wiki/Einstein–Hilbert_action
http://en.wikipedia.org/wiki/Brans-Dicke_theory
http://en.wikipedia.org/wiki/F(R)_gravity

Are these the kind of applications you were thinking of?

I am not sure but thanks for the references. I had just noticed that in classical physics potentials could be thought of as determining a metric.