On Dynamics of Brans--Dicke Theory of Gravitation

Abstract

We study longstanding problem of cosmological clock in the context of Brans-Dicke theory of gravitation. We present the Hamiltonian formulation of the theory for a class of spatially homogenous cosmological models. Then, we show that formulation of the Brans-Dicke theory in the Einstein frame allows how an identification of an appropriate cosmological time variable, as a function of the scalar field in the theory, can be emerged in quantum cosmology. The classical and quantum results are applied to the Friedmann-Robertson-Walker cosmological models.

15 pages

References in corpus (4)

• Conditional probabilities with Dirac observables and the problem of time in quantum gravity
• Physical non-equivalence of the Jordan and Einstein frames
• Solving the Problem of Time in General Relativity and Cosmology with Phantoms and k -- Essence
• Time and Dirac Observables in Friedmann Cosmologies

Cited by in corpus (4)

• Cosmology of the selfaccelerating third order Galileon
• Accelerating Bianchi Type-V Cosmology with Perfect Fluid and Heat Flow in Saez-Ballester Theory
• Cosmological Constant Implementing Mach Principle in General Relativity
• Bouncing and inflationary dynamics in quantum cosmology in the de Broglie-Bohm interpretation