Hello again! I have some problem with the variation of the legrangian that contains Kretschmann scalar.
I=\int{{{(-g)}^{1/2}}{{R}^{abcd}}{{R}_{abcd}}d\Omega }
I start as usually, but with a trick making use of curvature tensor symmetries...
TerryW thank you so much for your answer!
As you've spotted: {{\mathfrak{g}}_{ab}} is not defined by d'inverno as the inverse of {{\mathfrak{g}}^{ab}}={{(-g)}^{1/2}}{{g}^{ab}},
but as {{\mathfrak{g}}_{ab}}={{(-g)}^{1/2}}{{g}_{ab}}.
Thank you again!
[SIZE="3"]I use the notation
{{\bar{g}}_{ab}}={{(-g)}^{1/2}}{{g}_{ab}}
and {{\bar{g}}^{ab}}={{(-g)}^{-1/2}}{{g}^{ab}}
So, {{\bar{g}}^{ab}}{{\bar{g}}_{bc}}=\delta _{c}^{a}\Rightarrow \delta {{\bar{g}}^{ab}}{{\bar{g}}_{bc}}+{{\bar{g}}^{ab}} \delta{{\bar{g}}_{bc}}=0
\delta...
Hi,there! I want to study Quantum Field Theory but I don't know what book to use! I have a rather good background in quantum mechanics and electrodynamics, and I probably can gain access on the following books:
Brown L.S. : "Quantum Field Theory"
Peskin and Schroeder : "Introduction to Quantum...
Can someone give some further help about the http://www.photodump.com/direct/Bbking22/hyperrelation.jpg , and tell me if that is the right way for the http://www.photodump.com/direct/Bbking22/departurefromgeodesity.jpg
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