Some uniqueness results for dynamical horizons
By Abhay Ashtekar, G. Galloway. 2005
154 citations recorded by the source corpus.
We first show that the intrinsic, geometrical structure of a dynamical horizon (DH) is unique. A number of physically interesting constraints are then established on the location of trapped and marginally trapped surfaces in the vicinity of any DH. These restrictions are used to prove several uniqueness theorems for DH. Ramifications of some of these results to numerical simulations of black hole spacetimes are discussed. Finally, several expectations on the interplay between isometries and DHs are shown to be borne out.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/13d0013fbeb68637a19bd082a4c28b6c397d60d7
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- Present status of the Penrose inequality (2009, unknown): “The interested reader is referred to [9], [7], [4], [1], [140], [8], [98], [69], [166], [2], [75], [3] and references therein.”
- Existence, Regularity, and Properties of Generalized Apparent Horizons (2008, unknown): “It follows that � n−1 is properly embedded, that � n−1 = ∂� � for an open set � � ⊂ � , and that H� =| tr� ( p)| .T he strong maximum principle shows in a standard way that if a component of � n−1 intersectswithacomponentof ∂2� ,thenthesecomponentsmustcoincide.(See[AM07,Prop 3.1, AG05 , Prop.”
- The 1965 Penrose singularity theorem (2014, background): “0, 190]. Actually, they belong to many such horizons, one for each chosen foliation by slices in the spacetime. One ends up with a pletora of MTT, which interweave each other in very complicated ways [11], leading to a problem of high non-uniqueness when talking about thermodynamical and other prope”