Electromagnetic and neutrino fields in general relativity: A constructive procedure
Abstract
A new procedure for constructing electromagnetic and neutrino fields in curved spacetimes is formulated. The basic method consists of a covariant generalization of the Debye  or twocomponent Hertz  potential formalism of flat space. The formulation replaces the strongly coupled firstorder Maxwell or Dirac system by a fully decoupled secondorder differential equation. The problem of computing these fields is reduced to solving a single complex linear secondorder scalar wave equation; the fully covariant physical spinor or tensor field is derived from the scalar solution of this wave equation by prescribed and straightforward differentiation. The Hertz formalism was extended to all curved spacetimes; the Debye twocomponent (or onecomplexcomponent) formalism was extended to those spacetimes conformally related to vacuum spacetimes with algebraically specialized Weyl tensor.
 Publication:

Ph.D. Thesis
 Pub Date:
 September 1974
 Bibcode:
 1974PhDT........30K
 Keywords:

 Electromagnetic Fields;
 Neutrinos;
 Relativity;
 SpaceTime Functions;
 Black Holes (Astronomy);
 Differential Equations;
 Linear Equations;
 Wave Equations;
 Atomic and Molecular Physics