Probing Quantum Gravity Through Exactly Soluble Midi-Superspaces I

Details Probing Quantum Gravity Through Exactly Soluble Midi-Superspaces I Probing Quantum Gravity Through Exactly Soluble Midi-Superspaces I

1996-06-28

arxiv.org/abs/gr-qc/9606085v1

J.Math.Phys. 37 (1996) 6250-6270

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, latex

Scientific paper

10.1063/1.531774

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 quanization 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.

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