Abstract
Recently Lau & Prokhovnik (1986) have formulated a new scalar-tensor theory of gravitation which reconciles Dirac’s large numbers hypothesis with Einstein’s theory of general relativity. The present work points out an error in the time-dependent cosmological term and the scalar potential given by Lau and Prokhovnik. The correct forms for these quantities are derived. Further, a vacuum Robertson-Walker solution to the generalized field equations is obtained, under an anasatz that we propose, which illustrates that the theory is, in some sense, incomplete.
Similar content being viewed by others
References
Banerjee, A., Banerjee, N. 1985,Astrophys. Sp. Sci.,114, 165.
Beesham, A. 1986,Int. J. Theor. Phys.,25, 1295.
Beesham, A. 1987,Austr. J. Phys.,40, 23.
Bergmann, P. G., 1968,Int. J. Theor. Phys.,1, 25.
Brans, C., Dicke, R. H. 1961,Phys. Rev.,124, 925.
Canuto, V., Adams P. J., Hsieh, S. H., Tsiang, E. 1977,Phys. Rev.,D 16, 1643.
DerSarkissian, M. 1985,Nuovo Cim.,88B, 29.
Dirac, P. A. M. 1938,Proc. R. Soc. London,A 165, 199.
Dirac, P. A. M. 1975,The General Theory of Relativity, Wiley, New York
Dirac, P. A. M. 1979,Proc. R. Soc. London, A 365, 19.
Dreitlein, J. 1974,Phys. Rev. Lett.,33, 1243
Hoyle, F., Narlikar, J. V. 1964,Proc. R. Soc. London,A282, 191.
Kasper, V. 1985,Gen. Relativ. Gravitation,17, 725.
Lau, Y. K. 1985,Austr. J. Phys.,38, 547.
Lau, Y. K., Prokhovnik, S. J. 1986,Austr. J. Phys.,39, 339.
Linde, A. D. 1974,JETP Lett.,19, 183.
Lorenz-Petzold, D. 1984,Astrophys. Sp. Sci.,100, 461.
Olivo-Melchiorri, B., Melchiorri, F. 1985,Riv. del Nuovo Cim.,8, 1.
Ozer, M., Taha, M. O. 1986,Phys. Lett. B,171, 363.
Ozer, M., Taha, M. O. 1987,Nucl. Phys.,B287, 776.
Rothman, T., Ellis, G. F. R. 1985,Metqflation, Univ. Cape Town preprint 85/18.
Singh, T., Singh, Tarkeshwar, 1983Astrophys. Sp. Sci.,97, 127.
Villi, C. 1985,Nuovo Cim.,85A, 175.
Wagoner, R. V. 1970,Phys. Rev.,Dl, 3209.
Zel’dovich, Ya. B. 1968,Sov. Phys., USPEKHI,11, 381.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Maharaj, S.D., Beesham, A. On the scalar-tensor theory of Lau and Prokhovnik. J. Astrophys. Astr. 9, 67–74 (1988). https://doi.org/10.1007/BF02715683
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02715683