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The observer, abandoned by the rocket. |
Uμ = (1 , 0 , 0 , 0)
and the four-velocity of the rocket is
Vμ =(γ , γv , 0 , 0)
where v is the three-velocity and
γ = 1 / (√(1 - v2 ) )
so that
v = √(1 - γ-2)
"
It is easy enough to understand the first and last equations but the two middle ones were not so easy.
His (2.51) itself starts
that seems to come out of nowhere and had me thinking.
It all ends well with the gloriously tensorial equation
which allows me to proceed to section 2.6 on An Expanding Universe!
His (2.51) itself starts
γ = -ημν UμVν
"since η00 = -1"that seems to come out of nowhere and had me thinking.
It all ends well with the gloriously tensorial equation
v = √(1 - (Uν Vν)2 )
which allows me to proceed to section 2.6 on An Expanding Universe!
The answers, and suggestions for improvement (!), are in Commentary App A Mapping S2 and R3.pdf.
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