Quantum Gravity:the axiomatic approach, a possible interpretation

Details Quantum Gravity:the axiomatic approach, a possible interpretation Quantum Gravity:the axiomatic approach, a possible interpretation

1997-05-21

arxiv.org/abs/gr-qc/9705053v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

plain-TeX,9 pages

Scientific paper

Twenty years ago, by extending the Wightman axiom framework, it has been found possible to quantize only a conformal factor of the gravitational field. Gravitons being excluded from this quantum scalar field theory, numerous attempts were done to give a valuable description of what could be quantum gravity. In this talk we present a familly of Lorentz manifolds which can be foliated by isotropic hypersurfaces and pose severe restrictions on the form of the energy-momentum tensor in Einstein's equations. They can be associated to gravitational waves "without gravitons" in a vacuum described by two cosmological functions, but not to a massless particle flow. From this cross-checking with the previous remark, a "very" primordial quantum cosmological scenario is proposed.

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