35L65 — 1 articles found.

A Positive-Definite Energy Functional for Axially Symmetric Maxwell’s Equations on Kerr-de Sitter Black Hole Spacetimes

C. R. Math. Rep. Acad. Sci. Canada Vol. 40 (2) 2018, pp. 39-54
Vol.40 (2) 2018
Nishanth Gudapati Details
(Received: 2017-11-04 , Revised: 2018-04-06 )
(Received: 2017-11-04 , Revised: 2018-04-06 )

Nishanth Gudapati,Department of Mathematics, Yale University, 10 Hillhouse Avenue, New Haven, CT-06511, USA; e-mail: nishanth.gudapati@yale.edu

Abstract/Résumé:

We prove that there exists a phase space of canonical variables, for the initial value problem for axially symmetric Maxwell fields with compactly supported initial data and propagating in Kerr-de Sitter black hole spacetimes, such that their motion is restricted to the level sets of a positive-definite Hamiltonian, despite the ergo-region.

On démontre qu’il existe un espace de phase de variables canoniques, pour le problème des valeurs initials pour les champs de Maxwell symétriques à donneés initiales de support compact et à propagation dans les espaces-temps de trou noir Kerr-de Sitter, tel que leur motion est restrainte aux ensembles de niveau d’une hamiltonienne de type positif, en dépit de l’ergo-région.

Keywords: Kerr-de Sitter Black Holes, Stability of Black Holes, Wave Maps

AMS Subject Classification: Conservation laws, Electromagnetic fields 35L65, 83C50

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