Abstract
In the most general scalar-tensor theory of gravitation proposed by Bergmann and Wagoner, it is known that Birkhoff's theorem holds both in vacuum as well as in the presence of an electromagnetic field when the scalar field is time-independent.
This is a preview of subscription content, log in via an institution to check access.
References
Barber, G. A.: 1982,Gen. Rel. Grav. 14, 117.
Bergmann, O.: 1968,Int. J. Theor. Phys. 1, 25.
Birkhoff, G. D.: 1927,Relativity and Modern Physics, Harvard University Press, Cambridge.
Brans, C. and Dicke, R. H.: 1961,Phys. Rev. 124, 925.
Das, A.: 1960,Prog. Theor. Phys. 24, 915.
Dutta Choudhury, S. B. and Bhattacharyya, D.: 1980,J. Phys. A: Math. Gen. 13, 3643.
Jordan, P.: 1952,Schwerkraft und Welall, Vieweg, Braunschweig.
Nordtvedt, K., Jr.: 1970,Astrophys. J. 161, 1059.
Reddy, D. R. K.: 1973,J. Phys. A: Math. Nucl. Gen. 6, 1867.
Reddy, D. R. K.: 1977,J. Phys. A: Math. Nucl. Gen. 10, 185.
Reddy, D. R. K., Avadhanulu, M. B., and Venkateswarlu, R.: 1987,Astrophys. Space Sci. 134, 201.
Sen, D. K. and Dunn, K. A.: 1971,J. Math. Phys. 12, 578.
Schücking, E.: 1957,Z. Phys. 148, 72.
Wagoner, R. V.: 1970,Phys. Rev. D 1, 3209.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Venkateswarlu, R., Reddy, D.R.K. On Birkhoff's theorem in Bergmann-Wagoner theory. Astrophys Space Sci 159, 173–176 (1989). https://doi.org/10.1007/BF00640501
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00640501