### Abstract

It is well-known that the Einstein-Rosen solutions to the 3+1-dimensional vacuum Einstein's equations are in one to one correspondence with solutions of 2+1-dimensional general relativity coupled to axi-symmetric, zero rest mass scalar fields. We first re-examine the quantization of this midi-superspace paying special attention to the asymptotically flat boundary conditions and to certain functional analytic subtleties associated with regularization. We then use the resulting quantum theory to analyze several conceptual and technical issues of quantum gravity.

Original language | English (US) |
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Pages (from-to) | 6250-6270 |

Number of pages | 21 |

Journal | Journal of Mathematical Physics |

Volume | 37 |

Issue number | 12 |

DOIs | |

State | Published - Dec 1 1996 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Ashtekar, A., & Pierri, M. (1996). Probing quantum gravity through exactly soluble midi-superspaces I.

*Journal of Mathematical Physics*,*37*(12), 6250-6270. https://doi.org/10.1063/1.531774