English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Geometry and topology of the Kerr photon region in the phase space

MPS-Authors
There are no MPG-Authors in the publication available
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Cederbaum, C., & Jahns, S. (2019). Geometry and topology of the Kerr photon region in the phase space. General Relativity and Gravitation, 51: 79. doi:10.1007/s10714-019-2561-y.


Cite as: http://hdl.handle.net/21.11116/0000-000A-E081-6
Abstract
We study the set of trapped photons of a subcritical (a<M) Kerr spacetime as a subset of the phase space. First, we present an explicit proof that the photons of constant Boyer–Lindquist coordinate radius are the only photons in the Kerr exterior region that are trapped in the sense that they stay away both from the horizon and from spacelike infinity. We then proceed to identify the set of trapped photons as a subset of the (co-)tangent bundle of the subcritical Kerr spacetime. We give a new proof showing that this set is a smooth 5-dimensional submanifold of the (co-)tangent bundle with topology SO(3)×R2 using results about the classification of 3-manifolds and of Seifert fiber spaces. Both results are covered by the rigorous analysis of Dyatlov (Commun Math Phys 335(3):1445–1485, 2015); however, the methods we use are very different and shed new light on the results and possible applications.