All Questions
4
questions
1
vote
1
answer
303
views
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
$$ S = \frac{1}{2\kappa^2}\int d^Dx\ e e^\mu{}_a e^\nu{}...
- 91
6
votes
2
answers
338
views
Variation of Maxwell action with respect to the vierbein - Einstein-Cartan Theory
I'm using the reference "Differential Geometry, Gauge Theories and Gravity" by M. Göckeler and T. Schücker and I am having trouble to vary correctly the lagrangian
$$
\mathcal{L}_M=\dfrac{1}{2g^2}F \...
0
votes
1
answer
90
views
Effective lagrangian in minisuperspace
I am driving the paper (http://arxiv.org/abs/gr-qc/0412089) as part of my research project, i have some problems to obtain the effective Lagrangian for Einstein Hilbert action the eq.(4). If any one ...
- 21
2
votes
0
answers
529
views
Derivation of equations of motion in Nordstrom's theory of scalar gravity?
Nordstrom's theory of a particle moving in the presence of a scalar field $\varphi (x)$ is given by
$$
S = -m\int e^{\varphi (x)}\sqrt{\eta_{\alpha \beta}\frac{dx^{\alpha}}{d \lambda}\frac{dx^{\beta}}{...
- 6,564