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

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  • Malin, S.

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.

Suggested Citation

  • Malin, S., 1982. "Carmeli's Hilbert space for quantum gravity: A group-theoretical approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 114(1), pages 154-156.
    • Handle: RePEc:eee:phsmap:v:114:y:1982:i:1:p:154-156
    DOI: 10.1016/0378-4371(82)90277-1
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    1. Ronald Freedman & Albert Hermalin & Ming-Cheng Chang, 1975. "Do statements about desired family size predict fertility? the case of Taiwan, 1967–1970," Demography, Springer;Population Association of America (PAA), vol. 12(3), pages 407-416, August.
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