Equivalence of Einstein and Jordan frames in quantized anisotropic cosmological models

Journal Article · Fri Jun 15 00:00:00 EDT 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.04.006· OSTI ID:22848341

Pandey, Sachin ^[1]; Pal, Sridip ^[2]; Banerjee, Narayan ^[1]

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1. Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur, West Bengal 741246 (India)
2. Department of Physics, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093 (United States)

The present work shows that the mathematical equivalence of the Jordan frame and its conformally transformed version, the Einstein frame, so as far as Brans–Dicke theory is concerned, survives a quantization of cosmological models, arising as solutions to the Brans–Dicke theory. We work with the Wheeler–deWitt quantization scheme and take up quite a few anisotropic cosmological models as examples. We effectively show that the transformation from the Jordan to the Einstein frame is a canonical one and hence two frames furnish equivalent description of same physical scenario.

• OSTI ID: 22848341
• Journal Information: Annals of Physics, Vol. 393; Other Information: © 2018 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
COSMOLOGICAL MODELS
EINSTEIN FIELD EQUATIONS
QUANTIZATION
TRANSFORMATIONS