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Integral Formula for the Characteristic Cauchy Problem on a curved Background

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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https://hal.univ-brest.fr/hal-00426219
Contributor : Jérémie Joudioux <>
Submitted on : Friday, October 23, 2009 - 4:54:30 PM
Last modification on : Wednesday, April 1, 2020 - 1:57:07 AM
Long-term archiving on: : Thursday, June 17, 2010 - 5:48:41 PM

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  • HAL Id : hal-00426219, version 1
  • ARXIV : 0910.4620

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Jérémie Joudioux. Integral Formula for the Characteristic Cauchy Problem on a curved Background. 2009. ⟨hal-00426219⟩

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