# Item

ITEM ACTIONSEXPORT

Released

Journal Article

#### Integral Formula for the Characteristic Cauchy Problem on a curved Background

##### MPS-Authors

##### External Resource

No external resources are shared

##### Fulltext (restricted access)

There are currently no full texts shared for your IP range.

##### Fulltext (public)

0910.4620

(Preprint), 432KB

JMPA95_151.pdf

(Any fulltext), 351KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

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:10.1016/j.matpur.2010.10.002.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-1089-C

##### 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.

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.