Tagged Questions
1
vote
1answer
78 views
Where to read about Minkowski space [duplicate]
When I learned Special Relativity, it was taught in terms of basic linear algebra, without any mention of the Minkowski space, proper time as integration on the metric, etc.
However, when I am trying ...
3
votes
2answers
125 views
Metric coefficients in rotating coordinates
Let $(t,x,y,z)$ be the standard coordinates on $\mathbb{R}^4$ and consider the Minkowski metric
$$ds^2 = -dt^2+dx^2+dy^2+dz^2.$$
I am trying to compute the metric coefficients under the change of ...
4
votes
1answer
285 views
Is 4-volume element a scalar or a pseudoscalar in special relativity?
In general relativity 4-volume element $\mathrm{d}^4 x = \mathrm{d} x^0\mathrm{d} x^1 \mathrm{d} x^2\mathrm{d} x^3$ is clearly a pseudoscalar (or scalar density) of weight 1 since it transforms as ...
3
votes
3answers
228 views
How to connect Einstein's Special Relativity(SR) with General Relativity(GR)?
How Einstein's SR becomes GR?
$$ds^2=dr^2-c^2dt^2,$$
$$ds^2=g_{\mu\nu}dx^{\mu}dx^{\nu}.$$
When the $s$ is constant $ds^2=0$, isn't it true?
How to connect Einstein's SR with GR?
What is the ...
3
votes
1answer
262 views
How does (or can) SR/GR extend to phase space or symplectic manifolds?
I'm asking this question because of an article in New Scientist about a recent preprint by a group including Lee Smolin. I haven't taken the time to comprehend the paper completely. My knowledge of ...
8
votes
4answers
865 views
What does a frame of reference mean in terms of manifolds?
Because of my mathematical background, I've been finding it hard to relate the physics-talk I've been reading, with mathematical objects.
In (say special) relativity, we have a Lorentzian manifold, ...
4
votes
1answer
227 views
Relativistic space-time geometry
What subject (suggest book titles, etc.) should I study to get a clear grasping of hypersurfaces, 2-surfaces, and integration on them, mostly in special relativity (I'm not messing with general ...
