I Uniqueness Theorems in Non-Flat Spacetime

Max Green
Messages
8
Reaction score
0
Hi, I am writing a report on uniqueness theorems and I am at the section for non asymptotically flat spacetime. I know that if we request certain restrictions, there are the existence of certain uniqueness theorems, however for the most part there are (so far) not many and they are hard to find. Why is it so hard to find uniqueness theorems in non flat spacetime. Additionally, no hair theorems are doubted in (anti)-de sitter space, why is this? I'm not sure how to word it but I am sure its to do with fields not flowing to flat spacetime. Thankyou in advance for any information on thin
 
Physics news on Phys.org
I doubt I'll be able to help, but I can't resist asking - uniqueness of what? I assume there is a unique solution of something, but it's not clear what that something would be from the context.
 
Ah yes, that’s my bad, black hole uniqueness theorems, I know there are certain cases for black hole unique solutions but I’m wondering what the more general look is, why don’t we have complete understandings like in 4-D flat spacetime. Thanks
 
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

I Validity of Birkhoff's theorem in flat Minkowski spacetime
Replies
8
Views
974
I Theoretically, can perfectly flat spacetime exist in the Universe?
Replies
31
Views
2K
I How do non-diagonal indices of a metric allow for local flatness?
Replies
22
Views
310
I Uniqueness theorems for black holes
Replies
12
Views
2K
I Does de Sitter Spacetime Have Flat Foliation?
Replies
4
Views
2K
I Noether's second theorem: two questions
Replies
7
Views
3K
I Invariant Mass-Energy in FRW Spacetime
Replies
19
Views
2K
I Coord Transform in de Sitter Space: Phys Significance &Linearity?
Replies
5
Views
2K
I Co-Moving Coordinates & Lapse Function N(t) in ADM Decomposition
Replies
8
Views
2K
B Visualize 2D Intrinsic Curvature of Spacetime (1s+1t) in 3D
Replies
14
Views
4K

Hot Threads

Recent Insights

Back
Top