The null-geodesic flow near horizons
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Abstract:
This note describes the behavior of null-geodesics near nondegenerate Killing horizons in language amenable to the application of a general framework, due to Vasy and Hintz, for the analysis of both linear and nonlinear wave equations. Throughout, the viewpoint of Melrose’s b-geometry on a suitable compactification of spacetime at future infinity is adopted.References
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Additional Information
- Oran Gannot
- Affiliation: Department of Mathematics, Lunt Hall, Northwestern University, Evanston, Illinois 60208
- MR Author ID: 1067107
- Email: gannot@northwestern.edu
- Received by editor(s): August 15, 2017
- Received by editor(s) in revised form: August 17, 2017
- Published electronically: December 21, 2018
- Additional Notes: This paper is partially based upon work supported by the National Science Foundation under grant No. 1502632.
- © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 371 (2019), 4769-4791
- MSC (2010): Primary 35L05, 47A53, 58J47, 83C57
- DOI: https://doi.org/10.1090/tran/7592
- MathSciNet review: 3934466