Register to reply

Hamilton in GR

by nughret
Tags: hamilton
Share this thread:
nughret
#1
Jan16-08, 03:33 PM
P: 45
I was wondering if anyone had an explicit form of the hamilton-jacobi equations for GR.
I had a little attempt myself using the 10 components of the metric as the 'co-ordinates', R*sqrt(det(g)) as the Langrangian density, but the maths got a bit messy when trying to compute their canonical conjugates.
Phys.Org News Partner Science news on Phys.org
Scientists develop 'electronic nose' for rapid detection of C. diff infection
Why plants in the office make us more productive
Tesla Motors dealing as states play factory poker
shoehorn
#2
Jan29-08, 11:16 PM
P: 448
Quote Quote by nughret View Post
I was wondering if anyone had an explicit form of the hamilton-jacobi equations for GR.
I had a little attempt myself using the 10 components of the metric as the 'co-ordinates', R*sqrt(det(g)) as the Langrangian density, but the maths got a bit messy when trying to compute their canonical conjugates.
The reason it was "messy" is because this approach obviously can't work. See Appendix E of Wald for a reasonably good treatment of the Hamiltonian formulation of GR. Once you've understood this material it should then be trivial to derive the Hamilton-Jacobi approach.


Register to reply

Related Discussions
ALONSO Vs HAMILTON General Discussion 61
About hamilton operators Quantum Physics 2
Hamilton Vs Newton General Physics 0
Hamilton; help Quantum Physics 24
Hamilton and Lagrange Classical Physics 2