Advertisement

General Relativity and Gravitation

, Volume 23, Issue 4, pp 417–429 | Cite as

Violation of the Strong Equivalence Principle due to the self-force in a Kerr spacetime

  • F. Piazzese
  • G. Rizzi
Research Articles

Abstract

As is known, a charge in a gravitational field experiences a (gravitationally-induced) self-interaction force (“self-force”) only in curved space-times (in any reference frame), but not in the accelerated frames in flat spacetimes. Therefore, the presence of any self-force indicates, from a formal point of view, a violation of the Strong Equivalence Principle (SEP); as a result, “observability of the self-force in the validity domain of classical electrodynamics” (CE) means “observability of the related violation of SEP”. In this paper we investigate the observability of the self-force on a charge at rest on the symmetry axis in a Kerr spacetime, as recently calculated in a paper by the same authors, in the validity domain of CE. Analysis shows that, in the validity domain of CE, no effect of the self-force is observable outside the Schwarzschild radius. In contrast, some effect is observable for very large values of the angular momentum, in a small neighbourhood of the “turning point” (where a reversal of the tidal forces direction takes place), between the outer horizon and the Schwarzschild radius. This is the only case we have found where SEP fails because of the self-force.

Keywords

Angular Momentum Reference Frame Symmetry Axis Differential Geometry Gravitational Field 
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. 1.
    De Witt, B. S., and Brehme, R. W. (1960).Ann. Phys.,9, 220.Google Scholar
  2. 2.
    Unruh, W. G. (1976).Proc. Roy. Soc. London A,348, 447.Google Scholar
  3. 3.
    Léauté, B., and Linet, B. (1976).Phys. Lett.,A58, 5.Google Scholar
  4. 4.
    Léauté, B., and Linet, B. (1983).Int. J. Theor. Phys.,22, 67.Google Scholar
  5. 5.
    Piazzese, F., and Rizzi, G. (1986).Gen. Rel. Grav.,18, 1111.Google Scholar
  6. 6.
    Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation (W. H. Freeman, San Francisco).Google Scholar
  7. 7.
    Piazzese, F., and Rizzi, G. (1985).Meccanica,20, 199.Google Scholar
  8. 8.
    Piazzese, F., and Rizzi, G. (1986).Phys. Lett.,A119, 7.Google Scholar
  9. 9.
    Piazzese, F., and Rizzi, G. (1990). InProceedings of the V Marcel Grossman Meeting, Perth, D. G. Blair, M. J. Buckingham, R. Ruffini, eds. (World Scientific, Singapore).Google Scholar
  10. 10.
    Léauté, B., and Linet, B. (1982).J. Phys. A,15, 1821.Google Scholar
  11. 11.
    Piazzese, F., and Rizzi, G. (1991).Gen. Rel. Grav.,23, 403.Google Scholar
  12. 12.
    Tsoubelis, D., and Economou, A. (1987).Gen. Rel. Grav.,20, 37.Google Scholar
  13. 13.
    Cattaneo, C. (1958).Il Nuovo Cimento,10, 318.Google Scholar
  14. 14.
    Cattaneo, C. (1959).Il Nuovo Cimento,11, 733.Google Scholar

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • F. Piazzese
    • 1
  • G. Rizzi
    • 1
  1. 1.Dipartimento di MatematicaPolitecnicoTorinoItaly

Personalised recommendations