
#1
Jun2211, 03:13 PM

P: 76

If already known the form of Action and unkown the Metric, how to derive the geodesic equation?




#2
Jun2211, 03:29 PM

P: 76

Another question, if already known the Action (unknown the metric), how to derive Riemann Curvature from the Action?




#3
Jun2211, 03:33 PM

Sci Advisor
P: 8,005

http://arxiv.org/abs/1102.0529, section 19.1 derives the geodesic equation from the action



Register to reply 
Related Discussions  
Timelike geodesic equations for the Schwarzschild metric  Special & General Relativity  3  
Does a faithful action of SO(3) imply a metric on R^3?  Differential Geometry  5  
Strange geodesic in Schwartzschild metric  Special & General Relativity  7  
Principle of Least Action  Straight Worldline on a Geodesic  Special & General Relativity  4  
Geodesic in plane when metric depends on single variable?  Differential Geometry  1 