Friday, 6 July 2018

Commentary 2.1 Red Shift

In section 2.1 on gravitational red shift he says, in the accelerating rockets:
and on the tower in a gravity field

Those are both straight forward.

He then reminds us of the Newtonian potential and that a= ∇Φ.

He then gets

(2.7a) comes straight from (2.5) by integrating the acceleration over time to get Δv.
But I don't see why (2.7b) follows from (2.7a).

However from (2.6) we can get

I don't follow Carroll's logic but I can get the same answer!

The above is also in Commentary 2.1 Red Shift.pdf

1 comment:

  1. This needs a picture to make sense if you don't have the book