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Jun
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comment Sign convention with the $AdS$ metric
@JamalS Two questions to add (1) Is there a way to write global AdS in cartesian coordinates? (2) Is the hyperbolic foliation of $AdS$ a global coordinates?
Jun
28
comment Sign convention with the $AdS$ metric
@Trimok Now with my $\Lambda$ metric what is going on? It seems to me that since it is in the time-positive convention I should use the sign reversed Ricci tensor and scalar formula as given in the link above - BUT for that to give any sensible value of "L" I need $\Lambda >0$. Right? (so what is this metric for $\Lambda < 0$?) [BUT if $\Lambda <0$ then it seems to fit the time-positive version of the global coordinates that you linked to! - and thats getting confusing!]
Jun
28
comment Sign convention with the $AdS$ metric
@Trimok I have seen these links - well - my "Q" metric is a Poincare coordinates AdS_2 in the time-positive convention. But to evaluate its "L" don't I need a sign reversed version of the Ricci tensor and scalar formula as given in en.wikipedia.org/wiki/Anti_de_Sitter_space#Geometric_properties
Jun
27
revised Sign convention with the $AdS$ metric
edited body
Jun
27
comment Sign convention with the $AdS$ metric
@JamalS Can you kindly elaborate a bit? (1) Are you saying that the "n" formulas quoted initially are metric sign convention independent? (2) Can you give a prescription to define L for the last 2 AdS_ metrics with any choice of sign of $\Lambda$? (I can't see any consistent choice!)
Jun
27
asked Sign convention with the $AdS$ metric
Jun
26
comment Unexpected result from FullSimplify
@m_goldberg I don't know what you mean. $(-3)^3 = - 27$ and $2^2 = 4$
Jun
26
comment Unexpected result from FullSimplify
@m_goldberg Do you see a difference between the two!?
Jun
26
comment Unexpected result from FullSimplify
@bills Can you kindly see the intermediate steps that I have written above?
Jun
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revised Unexpected result from FullSimplify
added 79 characters in body
Jun
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revised Unexpected result from FullSimplify
added 22 characters in body
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comment Unexpected result from FullSimplify
@m_goldberg I am not sure whats going on here - do you agree or disagree with the intermediate steps that i have typed above? (below "Rewriting the functions..")
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