Brans-Dicke cosmological exact solution in a radiation-filled Robertson-Walker universe

Journal Article · Tue Sep 01 00:00:00 EDT 1987 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00669419· OSTI ID:5268937

Singh, R T; Deo, S

Considering a Robertson-Walker line element, exact solution are obtained for radiation-filled cosmological differential equations of Brans-Dicke theory with the assumption that the radius of curvature Q of the universe varies directly as the nth power of time. The solution is found to be valid for closed space only and the coupling constant w of the scalar tensor theory is necessarily negative. The radius of curvature of increases linearly with respect to the age of the universe, while the gravitational constant k varies directly as the square of the radius of the universe. The solution obtained is in contradiction to Dirac's hypothesis, in which the gravitational constant should decrease with time in an expanding universe.

• Research Organization: Manipur Univ., Canchipur (India)
• OSTI ID: 5268937
• Journal Information: Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 26:9; ISSN IJTPB
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMIC RADIATION
COSMOLOGICAL MODELS
EINSTEIN FIELD EQUATIONS
EQUATIONS
EXPANSION
FIELD EQUATIONS
GRAVITATIONAL FIELDS
IONIZING RADIATIONS
MATHEMATICAL MODELS
RADIATIONS
SCALAR FIELDS
TENSORS
TIME DEPENDENCE
UNIVERSE