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  Integral Formula for the Characteristic Cauchy Problem on a curved Background

Joudioux, J. (2011). Integral Formula for the Characteristic Cauchy Problem on a curved Background. Journal de Mathématiques Pures et Appliquées, 95(2), 151-193. doi: http://dx.doi.org/10.1016/j.matpur.2010.10.002.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1089-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-108A-A
Genre: Journal Article

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 Creators:
Joudioux, Jérémie1, 2, Author
Affiliations:
1LM-Brest, ou_persistent22              
2AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: Mathematics, Analysis of PDEs, math.AP,Mathematical Physics, math-ph,Mathematics, Differential Geometry, math.DG,Mathematics, Mathematical Physics, math.MP,
 Abstract: We give a local integral formula, valid on general curved space-times, for the characteristic Cauchy problem for the Dirac equation with arbitrary spin using the method developed by Friedlander in his book "the wave equation on a curved spacetime" (1975). The results obtained by Penrose in the flat case in "Null hypersurface initial data for classical fields of arbitrary spin for general relativity" (Gen. Rel. Grav 1980) are recovered directly. It is expected that this method can be used to obtain sharp estimates for the characteristic Cauchy problem for the Dirac equation.

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 Dates: 2009-10-242011
 Publication Status: Issued
 Pages: 42 pages
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 Identifiers: arXiv: 0910.4620
DOI: http://dx.doi.org/10.1016/j.matpur.2010.10.002
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Title: Journal de Mathématiques Pures et Appliquées
Source Genre: Journal
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Pages: - Volume / Issue: 95 (2) Sequence Number: - Start / End Page: 151 - 193 Identifier: -