[<< wikibooks] General Relativity/Notes to GR editors
Since I am sure I'm not the only one who will be editing this page, let's agree on some standards so that everything is cohesive.  Here are my suggestions:
1.  Certainly we should use follow the Einstein summation convention.
2.  Let's agree to use the same signature for the Minkowski metric.  I propose the

(
−
+
+
+
)

{\displaystyle (-+++)}
signature, i.e., the Minkowski metric

η

{\displaystyle \mathbf {\eta } }
is given by

η

(

u

,

v

)
=
−

u

0

v

0

+

u

1

v

1

+

u

2

v

2

+

u

3

v

3

{\displaystyle \mathbf {\eta } (\mathbf {u} ,\mathbf {v} )=-u^{0}v^{0}+u^{1}v^{1}+u^{2}v^{2}+u^{3}v^{3}}
.
E-mail me or edit the discussion page if you have questions or comments.
-Lathem