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Decay of solutions to the Maxwell equation on the Schwarzschild background
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.). Albert Einstein Institute, Germany.
2016 (engelsk)Inngår i: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 33, nr 8, artikkel-id 085010Artikkel i tidsskrift (Fagfellevurdert) Published
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Abstract [en]

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 Hab defined in terms of the Maxwell field and its first derivatives. The superenergy tensor, although not conserved, yields a conserved higher order energy current Hab (∂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.

sted, utgiver, år, opplag, sider
Institute of Physics Publishing (IOPP), 2016. Vol. 33, nr 8, artikkel-id 085010
Emneord [en]
energy estimate, Maxwell equation, Morawetz estimate, Schwarzschild
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-187209DOI: 10.1088/0264-9381/33/8/085010ISI: 000374832400010Scopus ID: 2-s2.0-84963799789OAI: oai:DiVA.org:kth-187209DiVA, id: diva2:929431
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QC 20160518

Tilgjengelig fra: 2016-05-18 Laget: 2016-05-18 Sist oppdatert: 2017-11-30bibliografisk kontrollert

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