# Weak field relativity - with future applications to the moving mass discussion

1. Sep 27, 2005

### pervect

Staff Emeritus
Pete, the latex isn't working in the private messages, so I posted this:

Do you agree with the following mass of statements (sorry for the length), I'll number them for reference

#1)
In the weak field, g_uv = n_uv + h_uv, h_uv <<1, and we raise and lower indices with n_uv, not h_uv.

#2)
In the weak field the Christoffel symbols are

 factor of 1/2 added [/end edit]

$$\Gamma^c{}_{ab} = \frac{1}{2} n^{cd} (\partial_a\, g_{bd} + \partial_b\, g_{ad} - \partial_d \, g_{ab})$$

#3)

In the weak field, the Riemann is

$$R^a{}_{bcd} = \partial_c \, \Gamma^a{}_{bd} - \partial_d \,\Gamma^a{}_{bc}$$

ps - glad you're out of surgery & hope you're doing as well as you sound.

Last edited: Sep 27, 2005