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Decay of solutions to the Maxwell equation on the Schwarzschild background
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- Andersson, Lars Erik (author)
- KTH,Matematik (Inst.),Albert Einstein Institute, Germany
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- Bäckdahl, Thomas, 1980 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Blue, P. (author)
- University of Edinburgh
- KTH Matematik (Inst) (creator_code:org_t)
- 2016-03-29
- 2016
- English.
- In: Classical and Quantum Gravity. - : IOP Publishing. - 0264-9381 .- 1361-6382. ; 33:8
- Journal article (peer-reviewed)
Abstract
Subject headings
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- A new Morawetz or integrated local energy decay estimate for Maxwell test fields on the exterior of a Schwarzschild black hole spacetime is proved. The proof makes use of a new superenergy tensor H-ab defined in terms of the Maxwell field and its first derivatives. The superenergy tensor, although not conserved, yields a conserved higher order energy current H-ab (partial derivative(t))(b). The tensor Hab vanishes for the static Coulomb field, and the Morawetz estimate proved here therefore yields integrated decay for the Maxwell field to the Coulomb solution on the Schwarzschild exterior.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Keyword
- Maxwell equation
- Schwarzschild
- energy estimate
- Morawetz estimate
- rotating black hole
- kerr spacetime
- wave-equation
- energy
- field
- spin
- perturbations
- manifolds
- geometry
- tensors
- spin
Publication and Content Type
- ref (subject category)
- art (subject category)
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