With the timelike convention for the metric signature, the Minkowski metric is defined by η η μ μ ν ν = ( 1 0 0 0 0 − − 1 0 0 0 0 − − 1 0 0 0 0 − − 1 ) , and the coordinates by ( x 0 , x 1 , x 2 , x 3 ) = ( c t , x , y , z ) for arbitrary Lorentz frames.