Probing quantum gravity through exactly soluble midi-superspaces I

Journal Article · Sun Dec 01 00:00:00 EST 1996 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531774· OSTI ID:397463

Ashtekar, A; Pierri, M ^[1]

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1. Center for Gravitational Physics and Geometry, The Pennsylvania State University, Department of Physics, University Park, Pennsylvania 16802 (United States)

It is well-known that the Einstein-Rosen solutions to the 3+1- dimensional vacuum Einstein{close_quote}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. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 397463
• Journal Information: Journal of Mathematical Physics, Vol. 37, Issue 12; Other Information: PBD: Dec 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
QUANTUM GRAVITY
MATHEMATICAL SPACE
EINSTEIN FIELD EQUATIONS
QUANTIZATION
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
FUNCTIONAL ANALYSIS