Abstract
Some inequalities have to be satisfied if there is to exist a fluid source for a given exterior gravitational field. In the case of the Kerr solution one of the inequalities presented here is much more restrictive than those obtained by Boyer [1]. However, our conditions do not exclude the possibility of a fluid source for the Kerr spacetimes.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Boyer, R.H.: Proc. Camb. Phil. Soc.61, 527 (1965)
Hernandez, W.: Phys. Rev.159, 1070 (1967)
Thorne, K.S.: In Gravitation and Cosmology, Proceedings of the International School of Physics, Enrico Fermi XL VII (ed. R. K. Sachs). New York: Academic Press 1971
Herlt, E.: Ann. Phys.7, 178 (1970)
Tomimatsu, A., Sato, H.: Phys. Rev. Letters29, 1344 (1972)
Boyer, R.H.: Proc. Camb. Phil. Soc.62, 495 (1966)
Carter, B.: J. Math. Phys.10, 70 (1969)
Bardeen, J.M.: Ap. J.162, 71 (1970)
Hartle, J.B., Sharp, D.H.: Ap. J.147, 317 (1967)
Abramowicz, M.A.: Acta Astronom.21, 449 (1971)
Bardeen, J.M., Wagoner, R.V.: Ap. J.167, 359 (1971)
Roos, W.: Diplom-Thesis, Hamburg University (1974)
Greene, R.D., Schucking, E.L., Visheshvara, C.V.: The Rest Frame in Stationary Spacetimes with Axial Symmetry, Preprint
Abramowicz, M.A.: Some Special Vector Fields in Stationary and Axial Symmetric Spacetimes. Preprint (1973)
Bardeen, J.M.: In Black-Holes, proceedings of the Les Houches Summer School 1972 (eds. C. DeWitt and B.S. DeWitt). New York: Gordon and Breach 1973
Author information
Authors and Affiliations
Additional information
Communicated by J. Ehlers
Rights and permissions
About this article
Cite this article
Abramowicz, M.A., Lasota, J.P. & Muchotrzeb, B. On fitting rotating bodies to exterior gravitational fields. Commun.Math. Phys. 47, 109–115 (1976). https://doi.org/10.1007/BF01608369
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01608369