Abstract
We construct a nondiagonalizable solution of the stationary axially symmetric vacuum Einstein equations involving Painlevé transcendents III(V). From the asymptotic behaviour of this solution we identify the corresponding Newtonian potential as that of a modulated line mass atρ=0, and we identify our transcendental solution as corresponding to a very special differentially rotating modulated line source.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Persides, S., and Xanthopoulos, B. C. (1988).J. Math. Phys. 29, 674.
Wils, P. (1989).Phys. Lett. A135, 425.
Leaute, B., and Marcilhacy, G. (1984).Lett. Nuovo Cim. 40, 102.
Ablowitz, M. J., Ramani, A., and Segur, H. (1980).J. Math. Phys. 19, 715.
Ince, E. L. (1927).Ordinary Differential Equations (Longmans, Green, London).
Chandrasekhar, S. (1986).Proc. Roy. Soc. Lond. A408, 209.
Stachel, J. (1966).J. Math. Phys. 7, 1321.
Voorhees, B. H. (1970).Phys. Rev. D 2, 2119.
Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation (W. H. Freeman, San Francisco).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Halilsoy, M., El-Said, M. The physical interpretation of a painlevé transcendent spacetime. Gen Relat Gravit 25, 81–86 (1993). https://doi.org/10.1007/BF00756930
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00756930