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  • $\begingroup$ The problem with your answer to the first question is that it is very unreliable; Simplify fails to work with the same condition against a different expression in many cases. The most reliable way I've found so far is to use a rule to replace the expression in the condition with a variable x, Simplify with respect to x satisfying certain conditions, then replace x with the original expression. $\endgroup$ Commented Aug 19, 2015 at 9:24
  • $\begingroup$ ComplexExpand does not work in my case, probably because certain variables have special properties in xAct. It throws error messages such as "$RecursionLimit::reclim: Recursion depth of 1024 Exceeded". FullSimplify works, though. Thanks! $\endgroup$ Commented Aug 19, 2015 at 9:28
  • $\begingroup$ Your answer for the third question does not work if the expression wrapped in Conjugate is too long, which is the case I was stuck with. I'm sorry if I didn't explain this clearly. $\endgroup$ Commented Aug 22, 2015 at 17:32