Self-dual Maxwell fields on curved space-times

G. DOTTI; C. N. KOZAMEH

JOURNAL OF MATHEMATICAL PHYSICS

Año: 1996 vol. 37 p. 3833 - 3853

0022-2488

We present a manifestly conformally invariant formulation of Maxwell equations on asymptotically flat space-times. It is shown how to construct regular self-dual and antiself-dual fields from suitable radiation data, and the general solution as a sum of fields with both types of duality. The basic variable in this formalism is a scalar field F defined as the phase of the parallel propagator (associated with the Maxwell potential) from interior points to future null infinity along null geodesics. Field equations equivalent to the source free Maxwell’s equations are derived for Maxwell potential) from interior points to future null infinity along null geodesics. Field equations equivalent to the source free Maxwell’s equations are derived for Maxwell potential) from interior points to future null infinity along null geodesics. Field equations equivalent to the source free Maxwell’s equations are derived for F defined as the phase of the parallel propagator (associated with the Maxwell potential) from interior points to future null infinity along null geodesics. Field equations equivalent to the source free Maxwell’s equations are derived for F. A perturbative solution based on Huygens’ principle is proposed. Exact solutions are found for H-spaces. The use of these results on gravitational lensing is discussed. are found for H-spaces. The use of these results on gravitational lensing is discussed. are found for H-spaces. The use of these results on gravitational lensing is discussed. A perturbative solution based on Huygens’ principle is proposed. Exact solutions are found for H-spaces. The use of these results on gravitational lensing is discussed.