English

Equivalence of Einstein and Jordan frames in quantized cosmological models

General Relativity and Quantum Cosmology 2016-12-13 v2

Abstract

The present work shows that the mathematical equivalence of Jordan frame and its conformally transformed version, the Einstein frame, so far as Brans-Dicke theory is concerned, survives a quantization of cosmological models in the 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 Jordan to Einstein frame is a canonical one and hence two frames are equivalent description of same physical scenario.

Keywords

Cite

@article{arxiv.1611.07043,
  title  = {Equivalence of Einstein and Jordan frames in quantized cosmological models},
  author = {Sachin Pandey and Sridip Pal and Narayan Banerjee},
  journal= {arXiv preprint arXiv:1611.07043},
  year   = {2016}
}

Comments

6 and a half two column pages; updated version with new abstract, title and modified conclusion

R2 v1 2026-06-22T16:59:55.003Z