Advertisement

Electromagnetic tail radiation in nonflat spacetimes

  • Thomas W. Noonan
Article

Abstract

The Green's function of the electromagnetic wave equation in an arbitrary space-time is expanded in geodesic coordinates in order to evaluate the tail—the part of the Green's function which does not propagate on the null cone. It is concluded that, to first order in the Riemann tensor, the tail contribution is constant. The electromagnetic power radiated from an accelerated charged particle follows the null cone, i.e., satisfies Huygens' principle, and is the same as if the Riemann tensor were zero. Electromagnetic radiation from compact sources such as neutron stars and black-hole accretion disks may suffer the usual gravitational distortions of the null cone, but none of it arrives slower than “the speed of light.”

Keywords

Wave Equation Charged Particle Electromagnetic Wave Neutron Star Huygens 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Boulware, D. G. (1980).Annals of Physics,124, 169.Google Scholar
  2. Carminati, J., and McLenaghan, R. G. (1986).Annales de l'Institut Henri Poincaré,44, 115.Google Scholar
  3. Couch, W. E., and Halliday, W. H. (1971).Journal of Mathematical Physics,12, 2170.Google Scholar
  4. DeWitt, B. S., and Brehme, R. W. (1960).Annals of Physics,9, 220.Google Scholar
  5. Friedlander, F. G. (1975).The Wave Equation on a Curved Space-Time, Cambridge University Press, Cambridge.Google Scholar
  6. Günther, P. (1965).Wissenschaftliche Zeitschrift der Karl-Marx-Universität Leipzig,14, 497.Google Scholar
  7. Günther, P. (1988).Huygens' Principle and Hyperbolic Equations, Academic Press.Google Scholar
  8. Noonan, T. W. (1989a).Astrophysical Journal,341, 786.Google Scholar
  9. Noonan, T. W. (1989b).Astrophysical Journal,343, 849.Google Scholar
  10. Panofsky, W. K. H., and Phillips, M. (1955).Classical Electricity and Magnetism, Addison-Wesley, Cambridge, Massachusetts.Google Scholar
  11. Riesz, M. (1948).Acta Mathematica,81, 1.Google Scholar
  12. Robertson, H. P., and Noonan, T. W. (1968).Relativity and Cosmology, Saunders, Philadelphia.Google Scholar
  13. Rohrlich, F. (1965).Classical Charged Particles, Addison-Wesley, Reading, Massachusetts.Google Scholar
  14. Wünsch, V. (1990).General Relativity and Gravitation,22, 843.Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • Thomas W. Noonan
    • 1
  1. 1.Physics DepartmentBrockport State CollegeBrockportNew York

Personalised recommendations