That's my question..although in more general cases [tex] L=T-V [/tex](adsbygoogle = window.adsbygoogle || []).push({});

[tex] H=T+V [/tex] however there're several important exceptions..for example:

a) Classically (Non relativisitc) the Gravitational "Energy" (=Hamiltonian for a time-independent Potential) is:

[tex] H=(1/2)\int_{V}\rho (\gra \phi)^{2} [/tex]

b) Einstein-HIlbert Lagrangian [tex] L=\sqrt (-g) R [/tex] -g is the

determinant of the metric and R is Ricci scalar.

Is there always a kind of "transform" so you can always split te Lagrangian into a Kinetic and a potential terms...

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Is always a Lagrangian L=T-V ?

**Physics Forums | Science Articles, Homework Help, Discussion**