Abstract
We present the general Brans-Dicke-Friedmann-Robertson-Walker (k=0) vacuum solutions with a cosmological constant. The space-times considered here are the generalizations of the de Sitter models of the general theory of relativity.
References
Abbott, L. F. and Deser, S.: 1982,Nucl. Phys. B195, 76.
Brans, C. and Dicke, R. H.: 1961,Phys. Rev. 124, 925.
Cerveró, J. M. and Estévez, P. G.: 1983,Gen. Rel. Grav. 15, 351.
Clark, R. W.: 1973,Einstein, The Life and Times, Hodder and Stoughton, London.
de Sitter, W.: 1977,Proc. Akad. Wetensch., Amsterdam 19, 1217.
Dominici, D., Holman, R., and Kim, C. W.: 1983,Phys. Rev. D28, 2983.
Duff, M. J.: 1980, in S. Ferrara, J. Ellis, and P. Van Nieuwenhuizen (eds.),Unification of the Fundamental Particle Interactions, Plenum, New York, p. 369.
Duff, M. J.: 1981, in C. J. Isham, R. Penrose, and D. W. Sciama (eds.),Quantum Gravity 2, A second Oxford Symposium, Clarendon Press, Oxford, p. 81.
Duff, M. J., Pope, C. N., and Warner, N. P.: 1983,Phys. Letters 130B, 254.
Einstein, A.: 1917,Preuss. Akad. Wiss., Berlin, Sitzber. I, 142.
Freund, P. G. O.: 1982,Nucl. Phys. B226, 29.
Fujii, Y.: 1982,Phys. Rev. D26, 2580.
Fujii, Y. and Niedra, J. M.: 1983,Prog. Theor. Phys. 70, 412.
Gibbons, G. W., Hawking, S. W., and Siklos, S. T. C.: 1983,The Very Early Universe, Cambridge Univ. Press, Cambridge.
Guth, A. H.: 1981,Phys. Rev. D23, 347.
Hawking, S. W.: 1982, in P. Breitenlohner and H. P. Dürr (eds.),Unified Theories of Elementary Particles, Lecture Notes in Physics, Vol. 161, Springer-Verlag, Berlin, Heidelberg, New York, p. 167.
Hawking, S. W.: 1982, in M. J. Duff and C. J. Isham (eds.),Quantum Structure of Space and Time, Cambridge Univ. Press, Cambridge, p. 423.
Ishihara, H. and Nariai, H.: 1983,Prog. Theor. Phys. 70, 1148.
Jordan, P.: 1955,Schwerkraft und Weltall, 2. Auflg., Vieweg and Sohn, Braunschweig.
Kalinowski, M. W.: 1983,Int. J. Theor. Phys. 22, 385.
Lemaître, G. E.: 1925,J. Math. Phys. (M.I.T.) 4, 188.
Lorenz-Petzold, D.: 1983,Astrophys. Space Sci. 96, 451.
Lorenz-Petzold, D.: 1984a,Astrophys. Space Sci. 100, 475 (this volume).
Lorenz-Petzold, D.: 1984b,Phys. Rev. D, to appear.
North, J. D.: 1965,The Measure of the Universe, Clarendon Press, London.
Occhionero, F. and Vagnetti, F.: 1975,Astron. Astrophys. 44, 329.
Parker, L.: 1983,Phys. Rev. Letters 50, 1009.
Parker, L.: 1983, in K. Kikkawa, N. Nakanishi, and H. Nariai (eds.)Gauge Theory and Gravitation, Lecture Notes in Physics, Vol. 176, Springer-Verlag, Berlin, Heidelberg, New York, p. 89.
Pollock, M. D.: 1983,Phys. Letters 132B, 61.
Robertson, H. P.: 1928,Phil. Mag. 5, 835.
Robertson, H. P. and Noonan, T. W.: 1968,Relativity and Cosmology, Saunders Comp., Philadelphia.
Rubakov, V. A. and Shaposhnikov, M. E.: 1983,Phys. Letters 125B, 139.
Scherk, J.: 1979, in P. van Nieuwenhuizen and D. Z. Freedman (eds.),Supergravity, North-Holland, Amsterdam, p. 43.
Uehara, K. and Kim, C. W.: 1982,Phys. Rev. D26, 2575.
van Nieuwenhuizen, P.:Phys. Rep. 68, 189.
Zel'dovich, Ya. B.: 1968,Soviet Phys. Uspekhi 11, 381.
Zel'dovich, Ya. B. and Novikov, I. D.: 1971,Relativistic Astrophysics, Univ. of Chicago Press, Chicago.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lorenz-Petzold, D. Exact Brans-Dicke cosmologies with a cosmological constant. Astrophys Space Sci 100, 461–465 (1984). https://doi.org/10.1007/BF00651628
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00651628