Abstract
The Einstein field equations (R μσ =0) are seen as possible candidates for a set of unified field equations. Three solutions of these field equations are used for a new interpretation and reformulation of the refractive index of an isotropic material medium. The new formulation explains the basic features of “anomalous” refractive index dispersion curves. It also predicts that the refractive index is a function of the angle of incidence when the plane in which the measurement is made is not tangential to the surface of the spherical gravitating mass, thereby providing a suitable test for the theory and hence of general relativity.
Similar content being viewed by others
References
Adler, R., Bazin, M., and Schiffer, M. (1975).Introduction to General Relativity, McGraw Hill, New York, 2nd edition, pp. 169, 185.
Born, M., and Wolf, E. (1959).Principles of Optics, Pergamon Press, New York, pp. 92–96.
Cauchy, L. (1830).Bulletin des Sciences Mathematiques,14, 9.
Einstein, A. (1953).The Meaning of Relativity, Princeton University Press, Princeton, New Jersey, 4th edition, footnote on p. 124.
Fomalont, E. B., and Sramek, R. A. (1975).Astrophysical Joumal,199, 749–755.
Gall, C. A. (1979). “Relativity and the refractive indexisotropic media”; “Metric combination-an isotropic medium in a spherically symmetric gravitational field,” unpublished works.
Gall, C. A., and Gall, O. (1979). “A wave length dependent solution of the gravitational one-body problem,” unpublished work.
Kagarise, R. E. (1960).Journal of the Optical Society of America,50, 36–39.
Koch, J. (1909).Nova Acta Societatis Upsaliensis (4),2, 61.
Shapiro, I. I., Ash, M. E., Ingalls, R. P., Smith, W. B., Campbell, D. B., Dyce, R. B., Jurgens, R. F., and Petengili, G. H. (1971).Physical Review Letters,27, 1132–1135.
Wahlstrom, E. E. (1969).Optical Crystallography, Wiley, New York, 4th edition, pp. 56, 98–100, 64–67.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gall, C.A. “Anomalous” refractive index dispersion curves—a relativistic interpretation. Int J Theor Phys 19, 889–897 (1980). https://doi.org/10.1007/BF00671480
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00671480