Classical and Quantum Solutions and the Problem of Time in $R^2$ Cosmology

M. Kenmoku; K. Otsuki; K. Shigemoto; K. Uehara

doi:10.1088/0264-9381/13/7/008

Classical and Quantum Solutions and the Problem of Time in $R^2$ Cosmology

General Relativity and Quantum Cosmology 2009-10-28 v2

Authors: M. Kenmoku , K. Otsuki , K. Shigemoto , K. Uehara

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Abstract

We have studied various classical solutions in $R^2$ cosmology. Especially we have obtained general classical solutions in pure $R^2$ \ cosmology. Even in the quantum theory, we can solve the Wheeler-DeWitt equation in pure $R^2$ \ cosmology exactly. Comparing these classical and quantum solutions in $R^2$ \ cosmology, we have studied the problem of time in general relativity.

Keywords

Klein-Gordon field symplectic geometry parametrized system constraint submanifold phase space

Cite

@article{arxiv.gr-qc/9510027,
  title  = {Classical and Quantum Solutions and the Problem of Time in $R^2$ Cosmology},
  author = {M. Kenmoku and K. Otsuki and K. Shigemoto and K. Uehara},
  journal= {arXiv preprint arXiv:gr-qc/9510027},
  year   = {2009}
}

Comments

17 pages, latex, no figure, one reference is corrected

Classical and Quantum Solutions and the Problem of Time in $R^2$ Cosmology

Abstract

Keywords

Cite

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