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On Dynamics of Brans–Dicke Theory of Gravitation

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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 homogeneous 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.

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Authors and Affiliations

  1. Department of Physics, University of Guilan, Rasht, Iran

    Hossein Farajollahi

  2. Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran, 19839, Iran

    Mehrdad Farhoudi & Hossein Shojaie

Authors
  1. Hossein Farajollahi
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  2. Mehrdad Farhoudi
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  3. Hossein Shojaie
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Correspondence to Hossein Farajollahi.

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Farajollahi, H., Farhoudi, M. & Shojaie, H. On Dynamics of Brans–Dicke Theory of Gravitation. Int J Theor Phys 49, 2558–2568 (2010). https://doi.org/10.1007/s10773-010-0447-6

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  • DOI: https://doi.org/10.1007/s10773-010-0447-6

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