Abstract
We give a broad class of solutions of the Kaluza-Klein equations that is static, spherically symmetric in 3D, curved in 4D and flat in 5D. These solutions generalize others that have been applied in cosmology and astrophysics.
This is a preview of subscription content, log in via an institution to check access.
REFERENCES
Ponce de Leon, J. (1988). Gen. Rel. Grav.20, 539.
Wesson, P. S. (1994). Astrophys. J.436, 547.
McManus, D. J. (1994). J. Math. Phys.35, 4889.
Wesson, P. S., Ponce de Leon, J., Liu, H., Mashhoon, B., Kalligas, D. Everitt, C. W. F., Billyard, A., Lim, P., Overduin, J. (1996). Int. J. Mod. Phys. A11, 3247.
Abolghasem, G., Coley, A. A., McManus, D. J. (1996). J. Math. Phys.37, 1.
Wesson, P. S., Ponce de Leon, J. (1992). J. Math. Phys.33, 3883.
Rippl, S., Romero, C., Tavakol, R. (1995). Class. Quantum Grav.12, 2411.
Romero, C., Tavakol, R., Zalaletdinov, R. (1996). Gen. Rel. Grav.28, 365.
Lidsey, J. E., Romero, C., Tavakol, R., Rippl, S. (1997). Class. Quantum Grav.14, 865.
Lim, P. H., Overduin, J. M., Wesson, P. S. (1995). J. Math. Phys.36, 6907.
Kalligas, D., Wesson, P. S., Everitt, C. W. F. (1995). Astrophys. J.439, 548.
Rights and permissions
About this article
Cite this article
Liu, H., Wesson, P.S. A Class of Kaluza-Klein Solutions Curved in 4D and Flat in 5D. General Relativity and Gravitation 30, 509–514 (1998). https://doi.org/10.1023/A:1018819127980
Issue Date:
DOI: https://doi.org/10.1023/A:1018819127980