- #1
scottJH
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Homework Statement
In a particular inertial frame of reference, a particle with 4-velocity V is observed by an
observer moving with 4-velocity U. Derive an expression for the speed of the particle
relative to the observer in terms of the invariant U · V
Homework Equations
##U.V=U'.V'##[/B]
The Attempt at a Solution
[/B]
I used the relation the ##U.V=U'.V'## because U.V is invariant.
Using the rest frame of the observer I obtained
##U'.V' = -\gamma(u_R)c^2##
Then rearranging to find ##u_R## I obtained
##u_R = c*sqrt(1-(c^4/(U.V)^2))##
I'm just wondering if I used the correct method and got the correct result for ##u_R##
Any insight is appreciated