Abstract
We discuss the possible modification of Einstein's theory of gravitation due to the fifth force generated by the Kaluza-Klein dilaton. In particular we discuss the gravitational redshift, the deflection of light, the precession of perihelia, and the time-delay of radar echo around a spherically symmetric black hole in a 7-dimensional Kaluza-Klein unification which hasE 2 as the internal isometry. It is shown that the long-range effect of the higher-dimensional fifth force is characterized by the dilatonic charge carried by the black hole even when it is neutral.
Similar content being viewed by others
References
Kaluza, T. (1921).Sitzungsber. Preuss. Akad. Wiss. Berlin, Phys. Math.,Kl, 966;Klein, O. (1926).Z. Phys. 37, 895; Jordan, P. (1947).Ann. Phys. (Leipzig) 1, 219; Thirry, Y. (1948).Comptes Rend. Acad. Sci. (Paris),226, 216.
Cho, Y. M. (1975).J. Math. Phys.,16, 2029; Cho, Y. M., and Freund, P. G. O. (1975).Phys. Rev. D,12, 1711.
Cremmer, E., and Scherk, J. (1977).Nucl. Phys. B,127, 57; Witten, E. (1981).Nucl. Phys. B,186, 412; Salam, A., and Strathdee, J. (1982).Ann. Phys. (New York),141, 316; Duff, M. J. (1983).Nucl. Phys. B, 219, 389.
Cho, Y. M. (1987).Phys. Rev. D,35, 2628; Cho, Y. M. (1987).Phys. Lett.,199B, 358.
Gross, D. J., and Perry, M. J. (1983).Nucl. Phys. B,226, 29; Sorkin, R. (1983).Phys. Rev. Lett.,51, 87.
Cho, Y. M. (1988). InRelativistic Astrophysics, Y. D. Kim, C. H. Lee and R. Ruffini, eds. (World Scientific, Singapore);id., (1989). InProceedings of the XXth Yamada Conference on Big Bang, Active Galactic Nuclei, and Supernovae, S. Hayakawa and K. Sato, eds. (Universal Academy Press, Tokyo).
Cho, Y. M. (1990).Phys. Rev. D,41, 2462.
Cho, Y. M., and Park, D. H. (1990).J. Math. Phys.,31, 695.
Cho, Y. M., and Jang, P. S. (1975).Phys. Rev. D,12, 3789; Cho, Y. M. (1987).Phys. Lett.,186B, 38; Cho, Y. M., and Kimm, D. S. (1989).J. Math. Phys.,30, 1570.
Appelquist, T., and Chodos, A. (1983).Phys. Rev. D,28, 772; Davidson, A., and Owen, D. (1986).Phys. Lett.,177B, 77.
Cho, Y. M. (1985).Phys. Rev. Lett,55, 2932; Cho, Y. M., and Pac, P. Y. (1988).Mod. Phys. Lett.,A3, 1473.
Dobiasch, P., and Maison, D. (1982).Gen. Rel. Grav.,14, 231; Chodos, A., and Detweiler, S. (1982).Gen. Rel. Grav.,14, 879.
Lee, H. M., and Lee, S. C. (1984).Phys. Lett.,149B, 95; Lee, S. C. (1984).Phys. Lett.,149B, 98; Angus, I. G. (1986).Nucl. Phys. B,264, 349.
Kostant, B. (1979).Adv. Math.,34, 195.
Will, C. M. (1984).Phys. Rev.,113, 345.
Gibbons, G. W., and Townsend, R. K. (1987).Nucl. Phys. B,282, 610; Gibbons, G. W., and Maeda, K. (1988).Nucl. Phys. B,298, 741.
Dirac, P. A. M. (1938).Proc. Roy. Soc. Lond.,A165, 199; Brans, C., and Dicke, R. H. (1961).Phys. Rev.,124, 925.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cho, Y.M., Park, D.H. Fifth force from Kaluza-Klein unification. Gen Relat Gravit 23, 741–757 (1991). https://doi.org/10.1007/BF00755992
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00755992