ESTIMATES FOR THE MAXWELL FIELD NEAR THE SPATIAL AND NULL INFINITY OF THE SCHWARZSCHILD SPACETIME

DOI10.1142/S0219891609001861zbMath1190.83016arXiv0802.4145MaRDI QIDQ3397580

Juan Antonio Valiente Kroon

Publication date: 22 September 2009

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.4145

zbMATH Keywords

Maxwell's equationsSchwarzschild backgroundnull and spatial infinity

Mathematics Subject Classification ID

Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Electromagnetic fields in general relativity and gravitational theory (83C50) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Einstein-Maxwell equations (83C22) Maxwell equations (35Q61)

Related Items (11)

Asymptotic charges for spin-1 and spin-2 fields at the critical sets of null infinity ⋮ The Maxwell-scalar field system near spatial infinity ⋮ The characteristic initial value problem for the conformally invariant wave equation on a Schwarzschild background ⋮ Polyhomogeneous expansions from time symmetric initial data ⋮ Peeling of Dirac and Maxwell fields on a Schwarzschild background ⋮ A rigidity property of asymptotically simple spacetimes arising from conformally flat data ⋮ Asymptotic simplicity and static data ⋮ Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. III: nonspherical Schwarzschild waves and singularities at null infinity ⋮ Fully pseudospectral solution of the conformally invariant wave equation on a Kerr background ⋮ The Fuchsian approach to global existence for hyperbolic equations ⋮ Zero rest-mass fields and the Newman–Penrose constants on flat space

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• CONFORMAL SCATTERING AND THE GOURSAT PROBLEM
• The Maxwell field on the Schwarzschild space–time: behaviour near spatial infinity
• Asymptotic properties of the electromagnetic field in the external Schwarzschild spacetime

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