Abstract
In the light of Einstein's equations a system only containing two scalar fields is considered: One is of long range and attractive, the other is of short range and repulsive. The sources of these fields are taken to be nonsingular and spherically symmetric. All components of the energy-momentum tensor are continuous. A static solution of the equations is obtained in the weak-field approximation. The source of the gravitational field shows a finite concentration on the center of symmetry and dilutes monotonically to zero outwards. A Schwarzschild-type gravitation is found at infinity.
Similar content being viewed by others
References
Anderson, J. L. (1967).Principles of Relativity Physics, Academic Press, New York, Chapter 3.
Bonnor, W. B. (1960).Zeitschrift für Physik,160, 59.
Buchdahl, H. A. (1959).Physical Review,115, 1325.
Einstein, A. (1939).Annals of Mathematics,40, 922.
Schwarzschild, K. (1916).Sitzungsberichte der preussischen Akademie der Wissenschaften zu Berlin, 424.
Teixeira, A. F. da F, Som, M. M. (1974).Journal of Physics,A7, 838.
Teixeira, A. F. da F., Wolk, I., and Som, M. M. (1975).Physical Review D,12, 319.
Teixeira, A. F. da F., Wolk, I., and Som, M. M. (1976).Journal of Physics,A9, 53;A9, 1267.
Wolk, I., Teixeira, A. F. da F., and Som, M. M. (1975).Lettere al Nuovo Cimento,12, 319.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Souza, J.A., Teixeira, A.F.F. Einstein gravitation from scalar nonsingular sources alone. Int J Theor Phys 16, 585–590 (1977). https://doi.org/10.1007/BF01811091
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01811091