Symmetries and Hidden Symmetries for Fields Outside Black Holes

Pieter Blue

Symmetries and Hidden Symmetries for Fields Outside Black Holes

School of Mathematics

Research output: Working paper

Abstract

This note surveys how energy generation and strengthening has been used to prove Morawetz estimates for various field equations in Minkowski space, the exterior of the Schwarzschild spacetime, and the exterior of the Kerr spacetime. It briefly outlines an approach to proving a decay estimate for the Maxwell equation outside a Kerr black hole.

Original language	English
Publisher	ArXiv
Number of pages	9
Publication status	Published - 2013

Keywords

Black holes
Kerr
Maxwell equation
Morawetz estimates

Access to Document

arXiv 1308 4990v2Submitted manuscript, 1.62 MB

1 Finished

Centre for analysis and nonlinear differential equations
Carbery, A. & Wright, J.
EPSRC
1/08/07 → 31/07/14
Project: Research

Cite this

@techreport{2c02bd0b4e284ef284fb3b90ef5823b7,

title = "Symmetries and Hidden Symmetries for Fields Outside Black Holes",

abstract = "This note surveys how energy generation and strengthening has been used to prove Morawetz estimates for various field equations in Minkowski space, the exterior of the Schwarzschild spacetime, and the exterior of the Kerr spacetime. It briefly outlines an approach to proving a decay estimate for the Maxwell equation outside a Kerr black hole. ",

keywords = "Black holes, Kerr, Maxwell equation, Morawetz estimates",

author = "Pieter Blue",

note = "To appear in the proceedings of the XVIIth International Congress on Mathematical Physics. 8 pages",

year = "2013",

language = "English",

publisher = "ArXiv",

type = "WorkingPaper",

institution = "ArXiv",

}

TY - UNPB

T1 - Symmetries and Hidden Symmetries for Fields Outside Black Holes

AU - Blue, Pieter

N1 - To appear in the proceedings of the XVIIth International Congress on Mathematical Physics. 8 pages

PY - 2013

Y1 - 2013

N2 - This note surveys how energy generation and strengthening has been used to prove Morawetz estimates for various field equations in Minkowski space, the exterior of the Schwarzschild spacetime, and the exterior of the Kerr spacetime. It briefly outlines an approach to proving a decay estimate for the Maxwell equation outside a Kerr black hole.

AB - This note surveys how energy generation and strengthening has been used to prove Morawetz estimates for various field equations in Minkowski space, the exterior of the Schwarzschild spacetime, and the exterior of the Kerr spacetime. It briefly outlines an approach to proving a decay estimate for the Maxwell equation outside a Kerr black hole.

KW - Black holes

KW - Kerr

KW - Maxwell equation

KW - Morawetz estimates

M3 - Working paper

BT - Symmetries and Hidden Symmetries for Fields Outside Black Holes

PB - ArXiv

ER -

Symmetries and Hidden Symmetries for Fields Outside Black Holes

Abstract

Keywords

Access to Document

Fingerprint

Projects

Centre for analysis and nonlinear differential equations

Cite this