Is the Penrose conjecture solved?
Is the Penrose conjecture solved?
Then since the total mass equals the mass of the black holes in a Schwarzschild metric, the Riemannian Penrose conjecture follows….Proof of the Riemannian Penrose Conjecture Using the Positive Mass Theorem.
Comments: | Preliminary version, 78 pages, 8 figures |
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MSC classes: | 53C21;53C80 |
What is Penrose conjecture?
In mathematical general relativity, the Penrose inequality, first conjectured by Sir Roger Penrose, estimates the mass of a spacetime in terms of the total area of its black holes and is a generalization of the positive mass theorem. The Riemannian Penrose inequality is an important special case.
What is the cosmic censorship conjecture?
The strong cosmic censorship conjecture, introduced by Penrose five decades ago, asserts that, in self-consistent theories of gravity, Cauchy horizons inside dynamically formed black holes should be unstable to remnant perturbation fields that fall into the newly born black holes.
When was the first Penrose diagram made?
A useful tool in this pursuit, the technique now known as Penrose diagram analysis, in which finite coordinate diagrams of conformally transformed spacetimes are used to visualize global structure, was first introduced by Penrose in 1964 [1, 2].
Are black holes rotating?
Yes. All astronomical objects, including black holes, are formed by gravity pulling matter together. If a cosmic body originates from anything that had even the tiniest amount of rotational motion originally, then this spin rate will become greatly enhanced as the object collapses.
How do you make a Penrose diagram?
You can draw a Penrose diagram by constructing compact conformal coordinates meaning outgoing light-like surfaces have slope +1 and incoming light-like surfaces have slope -1 and the domain and range of the diagram are compact meaning that the infinite points in space and time are mapped to finite region.