Carmeli's Hilbert space for quantum gravity: A group-theoretical approach

S. Malin

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 154-156

Abstract: Carmeli's group-theoretical approach to the formulation and quantization of field equations has recently led to a new proposed Hilbert space for quantum gravity. Work by Carmeli and the present author shows that for a wide range of Riemannian space-times there is a one-to-one correspondence between vectors in the Hilbert space and solutions of the Newman-Penrose field equations, provided the Newman-Penrose variable σ is specified. The Petrov classification is a natural one in the Hilbert space.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:154-156

DOI: 10.1016/0378-4371(82)90277-1

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