All Questions
3
questions
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Variation of the effective two-dimensional action
I am trying to derive the Einstein equations in section 3.1 of Andrew Strominger- Les Houches lectures on Black Holes
where one has to vary the action
$$
\mathcal{S} = \frac{1}{2\pi}\int{d^2x\sqrt{-g}\...
- 2,035
1
vote
1
answer
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Spin connection equations of motion from Einstein-Palatini action
I am working through "Supergravity" from Freedman and Van Proeyen. In exercise 8.11 one is tasked to vary the Einstein-Palatini action
$$ S = \frac{1}{2\kappa^2}\int d^Dx\ e e^\mu{}_a e^\nu{}...
- 91
6
votes
2
answers
338
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Variation of Maxwell action with respect to the vierbein - Einstein-Cartan Theory
I'm using the reference "Differential Geometry, Gauge Theories and Gravity" by M. Göckeler and T. Schücker and I am having trouble to vary correctly the lagrangian
$$
\mathcal{L}_M=\dfrac{1}{2g^2}F \...
