Tagged Questions
0
votes
1answer
131 views
How to find the intrinsic covariant derivative component?
How to find the intrinsic covariant derivative component?
In general relativity the elements of the acceleration four-vector are related to the elements of the four-velocity through a covariant ...
4
votes
1answer
530 views
Covariant derivative and Leibniz rule
I read the Wikipedia page about the covariant derivative, my main problem is in this part:
http://en.wikipedia.org/wiki/Covariant_derivative#Coordinate_description
Some of the formulas seem to lead ...
1
vote
2answers
221 views
fourth rank tensor for stress energy
The Weyl tensor equates the Riemann tensor in vacuum
$$ C_{\mu \nu \eta \lambda} = R_{\mu \nu \eta \lambda} $$
So it makes me wonder about the tensor
$$T_{\mu \nu \eta \lambda} = C_{\mu \nu \eta ...
1
vote
0answers
67 views
quadripolar moment in curved space
So, i'm going over the Thorne's derivation of the quadrupolar radiation term, and they write the core term as:
$$ \frac{3 r_i r_j - 2 r^2 \delta_{ij}}{4 r^5} $$
But if i try to obtain this term by ...
4
votes
1answer
215 views
failing to see the conundrum in the Einstein hole argument
I've been reading about the Einstein hole argument, and i fail to understand what makes active diffeomorphisms "special" compared to passive diffeomorphismsm also known as good old coordinate ...
6
votes
4answers
461 views
Are there controversies surrounding the principle of general covariance in GR?
I'm a physics graduate now working with computers. I study GR in my spare time to keep the material fresh. In the Wikipedia article about the mathematics of GR, one can read the following:
The ...
2
votes
0answers
249 views
composition of space expansion and movement as a gauge invariance
suppose i have a space-time where we have one point-like object* which we will call movement space probe or $\mathbf{M}_{A}$ for short, and it will be moving with constant velocity $V^A_{\mu}$ in ...
