Question

Derivation of Lorentz law in Curved Spacetime?

Answer 1

Hey mate!

In the presence of external forces or rather presence of fields to which a particle "couples" in curved spacetime.

Ex:

S[γ;A]=∫dλmgγ(λ)(vγ,γ(λ),vγ,γ(λ)−√+qA(vγ,γ(λ))


where mm is the mass of the particle and A is a co-vector field (electromagnetic potential) on the Manifold.


Thanks for the question!

☺☺

Answer 2

In special relativity (flat spacetime), if Christoffel symbols are not allowed in writing the laws of physics, then Lorentz transformations will preserve