Dark Matter Prediction from Canonical Quantum Gravity with Frame Fixing

Details Dark Matter Prediction from Canonical Quantum Gravity with Frame Fixing Dark Matter Prediction from Canonical Quantum Gravity with Frame Fixing

2004-10-06

arxiv.org/abs/gr-qc/0410026v1

Mod.Phys.Lett. A19 (2004) 2777-2784

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, to appear on Modern Physics Letters A

Scientific paper

10.1142/S0217732304015920

We show how, in canonical quantum cosmology, the frame fixing induces a new energy density contribution having features compatible with the (actual) cold dark matter component of the Universe. First we quantize the closed Friedmann-Robertson-Walker (FRW) model in a sinchronous reference and determine the spectrum of the super-Hamiltonian in the presence of ultra-relativistic matter and a perfect gas contribution. Then we include in this model small inhomogeneous (spherical) perturbations in the spirit of the Lemaitre-Tolman cosmology. The main issue of our analysis consists in outlining that, in the classical limit, the non-zero eigenvalue of the super-Hamiltonian can make account for the present value of the dark matter critical parameter. Furthermore we obtain a direct correlation between the inhomogeneities in our dark matter candidate and those one appearing in the ultra-relativistic matter.

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