How Does Tetrad Formalism Relate to the Hilbert-Einstein Action?

  • Thread starter Thread starter Andre' Quanta
  • Start date Start date
  • Tags Tags
    Einstein
Andre' Quanta
Messages
32
Reaction score
0
I would like to write the HIlbert-Einstein action using tetrad formalism.
I have seen in a paper that the lagrangian is the contraction between a levi civita tensor, against two veilbeins and a two form curvature.
The problem is that i can' t prove that this is the same as the scalar curvature moltiplied by the determinant of the metric.
Could you help me? I am sure of the result, but i can' prove it
 
Physics news on Phys.org
See section 3.2: "Covariant Loop Quantum Gravity", by Rovelli and Vidotto, published by Cambridge University Press.
 
Last edited by a moderator:
  • Like
Likes Andre' Quanta
WannabeNewton said:
See section 3.2: "Covariant Loop Quantum Gravity", by Rovelli and Vidotto, published by Cambridge University Press.
Thanks you really much :)
I had a launch with Carlo Rovelli and Francesca Vidotto, they were really nice: it s a surprise to see the solution in their book
 
Last edited by a moderator:
Thread 'Can this experiment break Lorentz symmetry?'

Thread 'Can this experiment break Lorentz symmetry?'

1. The Big Idea: According to Einstein’s relativity, all motion is relative. You can’t tell if you’re moving at a constant velocity without looking outside. But what if there is a universal “rest frame” (like the old idea of the “ether”)? This experiment tries to find out by looking for tiny, directional differences in how objects move inside a sealed box. 2. How It Works: The Two-Stage Process Imagine a perfectly isolated spacecraft (our lab) moving through space at some unknown speed V...
View full post »

Thread '1-Way Speed of Light'

Does the speed of light change in a gravitational field depending on whether the direction of travel is parallel to the field, or perpendicular to the field? And is it the same in both directions at each orientation? This question could be answered experimentally to some degree of accuracy. Experiment design: Place two identical clocks A and B on the circumference of a wheel at opposite ends of the diameter of length L. The wheel is positioned upright, i.e., perpendicular to the ground...
View full post »

Thread 'How can a black hole absorb matter?'

According to the General Theory of Relativity, time does not pass on a black hole, which means that processes they don't work either. As the object becomes heavier, the speed of matter falling on it for an observer on Earth will first increase, and then slow down, due to the effect of time dilation. And then it will stop altogether. As a result, we will not get a black hole, since the critical mass will not be reached. Although the object will continue to attract matter, it will not be a...
View full post »

Similar threads

A Strange Tetrad Form of Einstein-Hilbert Action
Replies
2
Views
2K
A Boundary conditions in ##\delta I=0## to derive Einstein's equations
Replies
8
Views
1K
I Generalized Tetrad Formalism for Rotating Spacetimes and the Equatorial Plane
Replies
11
Views
2K
A Differences between Actions in Curved Spacetime
Replies
1
Views
1K
Einstein-Hilbert action origin
Replies
18
Views
4K
I Null energy condition constrains the metric
Replies
5
Views
1K
A Einstein and Spacetime: Debunking the Myth of Rejecting Curvature
Replies
10
Views
3K
I Deriving Contravariant Form of Levi-Civita Tensor
Replies
1
Views
2K
The Einstein Maxwell Action with sources
Replies
1
Views
5K
I Geometric Meaning of Complex Null Vector in Newman-Penrose Formalism
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top