# Relativity energy-momentum tensor

## Homework Statement

Arrive at the orthogonality relation ${T^{\mu}}_{\alpha}{T^{\alpha}}_{\nu} = K{\delta^{\mu}}_{\nu}$
and determine K.

## Homework Equations

$T_{ij}=T_ji}$

## The Attempt at a Solution

${T^{\mu}}_{\alpha}{T^{\alpha}}_{\nu} = {T^{\mu}}_0{T^0}_{\nu}+ {T^{\mu}}_i{T^i}_{\nu}$
I am not sure how to continue from here, in which direction I should go...
Thanks!

Last edited:

dextercioby
Homework Helper
Is T appearing in the Einstein equations ? If so, use them.

No, we haven't even studied yet Einstein's equations (the context is special-relativistic electrodynamics. T is the enrgy-momentum (stress) tensor)

dextercioby