Abstract
All asymptotically flat space solutions of Einstein equations with energy-momentum tensor of electrostatic and zero-mass scalar static central symmetric fields as a source were found. There are five branches of general solution; only two of them are contained in previous Penney's solution. In a limit of pure electrostatic field and pure scalar field our solutions become identical with corresponding solutions known previously.
Similar content being viewed by others
References
Fišer I. Z., JETP18 (1948), 636.
Bergmann O., Leipnik R., Phys. Rev.107 (1957), 1157.
Utiyama R., Progr. Theor. Phys.2 (1947), 38.
Buchdahl H. A., Phys. Rev.115 (1959), 1325.
Das A., Proc. Roy. Soc.A 267 (1962), 1.
Janis A. I., Newmann E. T., Winicour J., Phys. Rev. Lett.20 (1968), 878.
Synge J. L., Relativity: The General Theory, Amsterdam 1960.
Misra R. M., Pandey D. B., Commun. Math. Phys.20 (1971), 324.
Penney R., Phys. Rev.182 (1969), 1383.
Penrose R.,in Relativity, Groups and Topology. (Ed. by C. De Witt, B. De Witt.) New York—London 1964.
Asanov R. A., Report P2 — 5738, JINR Dubna 1971.
Kuchař K., Základy obecné teorie relativity. Academia, Praha 1968.
Author information
Authors and Affiliations
Additional information
The authors would like to thank Dr. J.Langer and Dr. J.Bičák for their interest in this work and valuable remarks. The authors also thank Dr. M.Vinduška for looking through the manuscript.
Rights and permissions
About this article
Cite this article
Uhlíř, M., Dittrich, J. Zero-mass scalar and electrostatic fields with the central symmetry in the general relativity. Czech J Phys 23, 1–9 (1973). https://doi.org/10.1007/BF01596871
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01596871