# D space time of coordinates

1. Mar 29, 2010

### alejandrito29

in a D space time of coordinates $$x^u,y^m$$, with u=...p+1, m=...D-p-1, and A=.....D
if $$R_{MN}=8 \pi G_D (T_{MN}-\frac{G_{MN}T^P_P}{D-2})$$ (eq1)

I don't understand why

$$R^u_u=\frac{8\pi G}{D-2}((D-p-3)T^u_u-(p+1)T^m_m)$$ eq 2
$$R^m_m=\frac{8\pi G}{D-2}((p-1)T^m_m-(D-p-1)T^u_u$$ eq 3

i tried to multiplicate eq1 by $$g^{MN}$$ and then

$$R=8\pi G_D(T-\frac{T}{D-2}$$
but, i don't go to the eqs 2 and 3

[/tex]