Abstract
Qualitative behaviour of the trajectories of test bodies is investigated in the five-dimensional gravitation theory for the spherically-symmetric solution. The Binnet formula is obtained for the trajectory. The region of the existence of circular trajectories as well as the regions of their stability are specially investigated using the method of numerical calculations. The values of the free parameters in the five-dimensional gravitation theory are estimated for the solar system.
Similar content being viewed by others
References
Hagihara, Y.: 1931,Japanese J. Astron. Geophys. 8, 67.
Kaluza, Th.: 1921,Sitzugber. d. Berlin Akad., p. 1966.
Pyragas, K. A.: 1973, Doctor's Thesis, Inst. theor. Phys., Academy of Sciences, Kiev.
Vladimirov, Yu. S.:The Metric of Physical Space Time, Izd. Nauka, Moscow.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vaičiūnienė, L., Zhuk, I. & Pyragas, K. Qualitative behaviour of the trajectories of test bodies in five-dimensional spherically-symmetric gravitational field. Astrophys Space Sci 163, 255–263 (1990). https://doi.org/10.1007/BF00655747
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00655747