Huygens's principle for the electromagnetic vector potential in Reimannian spacetimes

Details Huygens's principle for the electromagnetic vector potential in Reimannian spacetimes Huygens's principle for the electromagnetic vector potential in Reimannian spacetimes

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...341..786n&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 341, June 15, 1989, p. 786-795.

Astronomy and Astrophysics

Astrophysics

12

Huygens Principle, Relativity, Riemann Manifold, Space-Time Functions, Green'S Functions, Relativistic Theory, Vector Analysis, Wave Equations

Scientific paper

The differential equations for the Green's function for the electromagnetic vector-potential wave equation are expanded in Robertson's geodesic coordinates in Reimannian spacetime. It is concluded that a necessary and sufficient condition that the Green's function (1) satisfy Huygens's principle and (2) reduce to the special-relativity Green's function in the case of flat spacetime is that the spacetime be flat.

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