Geodesic
Geodesic Correspondence in the Brans-Dicke Theory
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 151-153

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent article [1] vacuum field solutions of the Brans-Dicke [2] field equations were found, the space-time metric in each solution being of the Friedmann type. Most of these solutions existed only for specific values of the parameter ω and, in particular, the two largest sets of solutions corresponded to the values and . Peters [3, 4] has shown that when all solutions of the Brans-Dicke vacuum equations are conformai to space-times with vanishing Ricci tensor. The purpose of this note is to investigate the possible geometric consequences of the value . 
Tupper, B. O. J. Geodesic Correspondence in the Brans-Dicke Theory. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 151-153. doi: 10.4153/CMB-1975-030-8
@article{10_4153_CMB_1975_030_8,
     author = {Tupper, B. O. J.},
     title = {Geodesic {Correspondence} in the {Brans-Dicke} {Theory}},
     journal = {Canadian mathematical bulletin},
     pages = {151--153},
     year = {1975},
     volume = {18},
     number = {1},
     doi = {10.4153/CMB-1975-030-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-030-8/}
}
TY  - JOUR
AU  - Tupper, B. O. J.
TI  - Geodesic Correspondence in the Brans-Dicke Theory
JO  - Canadian mathematical bulletin
PY  - 1975
SP  - 151
EP  - 153
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-030-8/
DO  - 10.4153/CMB-1975-030-8
ID  - 10_4153_CMB_1975_030_8
ER  - 
%0 Journal Article
%A Tupper, B. O. J.
%T Geodesic Correspondence in the Brans-Dicke Theory
%J Canadian mathematical bulletin
%D 1975
%P 151-153
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-030-8/
%R 10.4153/CMB-1975-030-8
%F 10_4153_CMB_1975_030_8

[1] 1. O'Hanlon, J. and Tupper, B. O. J., Vacuum-field solutions in the Brans-Dicke theory, II Nuovo Cimento 7B (1972), 305-312. Google Scholar

[2] 2. Brans, C. and Dicke, R. H., Mach's principle and a relativistic theory of gravitation, Phys. Rev. 124 (1961), 925-935. Google Scholar

[3] 3. Peters, P. C., Conformai invariance and geometrization of the Hoyle-Narlikar mass field, Phys. Lett. 20 (1966), 641-642. Google Scholar

[4] 4. Peters, P. C., Geometrization of the Brans-Dicke scalar field, Journ. Math. Phys., 10 (1969), 1029-1031. Google Scholar

[5] 5. Eisenhart, L. P., Riemannian Geometry, Princeton Univ. Press, 1925. Google Scholar

[6] 6. Petrov, A. Z., Einstein Spaces, Pergamon, 1969. Google Scholar

Cité par Sources :