- #1
schwarzschild
- 15
- 1
From Schutz's A First Course in General Relativity
"A particle of rest mass m moves with velocity v in the x direction of frame O. What are the components of the four-velocity and four-momentum?"
By definition [tex] \vec{U} = \vec{e}_{\bar{0} [/tex]
However, I don't see how he gets [tex] U^{\alpha} = \Lambda^{\alpha}_{\bar{\beta}}(\vec{e}_{\bar{0}})^{\bar{\beta}} = \Lambda^{\alpha}_{\bar{0}} [/tex]
Where [tex] \vec{U} [/tex] is the four-velocity vector, and [tex] U^{\alpha} [/tex] are its components.