Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974phdt........30k&link_type=abstract
Ph.D. Thesis Pennsylvania Univ., Philadelphia.
Astronomy and Astrophysics
Astronomy
Electromagnetic Fields, Neutrinos, Relativity, Space-Time Functions, Black Holes (Astronomy), Differential Equations, Linear Equations, Wave Equations
Scientific paper
A new procedure for constructing electromagnetic and neutrino fields in curved space-times is formulated. The basic method consists of a covariant generalization of the Debye - or two-component Hertz - potential formalism of flat space. The formulation replaces the strongly coupled first-order Maxwell or Dirac system by a fully decoupled second-order differential equation. The problem of computing these fields is reduced to solving a single complex linear second-order 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 space-times; the Debye two-component (or one-complex-component) formalism was extended to those space-times conformally related to vacuum space-times with algebraically specialized Weyl tensor.
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