7.8. Induced metrics

[zhr moulaei]

Hello

please  answer to my problems in ADM decomposition. 

I am trying  to apply this part of the XAct , X tensor (7.8. Induced metrics) but i have some problems in it, so it is very kind of you if you answer my questions. 

I have the following error and i will send you my file , 

In[26]:= % /. Projectormetrich \[RightArrow] ProjectWith[metrich]

During evaluation of In[26]:= ReplaceAll::reps: {Projectormetrich\[RightArrow]ProjectWith[metrich]} is neither a list of replacement rules nor a valid dispatch table, and so cannot be used for replacing. >>

Out[26]= Projectormetrich[

RicciCD[-a, -b]] /. 

 Projectormetrich \[RightArrow] ProjectWith[metrich] 

[Leo Stein]

Hi,

For this to be a rule, you want \[Rule] instead of \[RightArrow]. Visually, the two symbols look the same in the GUI. How did you input the arrow? The easiest way is just to type -> (minus, right-angled-bracket). Copy/pasting the arrow which is a \[Rule] will still result in a rule, so I don't understand where \[RightArrow] came from.

Good luck

Leo

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