All Questions
Tagged with degrees-of-freedom metric-tensor
4 questions with no upvoted or accepted answers
2
votes
0
answers
1k
views
What is the degrees of freedom of metric tensor?
As $g_{\mu\nu}$ can be taken to be symmetric, it contains 10 functions of spacetime in 4 dimensions. But, why we call these 10 functions as the degrees of freedom of the metric while they are the ...
- 326
1
vote
0
answers
249
views
Notion of 'functional degrees of freedom' for the metric function in GR?
I have read through the numerous questions on 'degrees of freedom' in the metric tensor, and won't list them all here. However none of them address my question on 'functional' degrees of freedom in ...
- 4,067
0
votes
0
answers
259
views
How many independent degrees of freedom does the metric tensor have in vacuum (at every point)?
A field of metric tensors fully characterises the curvature of a vacuum space-time. (For example, the spacetime between some single point masses which are themself not part of the manifold)
The metric ...
- 61
0
votes
0
answers
162
views
How many degrees of freedom to diagonalize the metric?
In A. Zee's Einstein Gravity in a Nutshell, he starts with the following expansion of the metric at some point $P$ of a Riemannian manifold, with coordinates $x^\mu$ that have the origin at $P$:
$$
...
- 1,507