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Prog. Theor. Phys. Vol. 102 No. 5 (1999) pp. 1001-1013
Criticality and Averaging in Cosmology
Masayuki Tanimoto*)
Yukawa Institute for Theoretical Physics,
Kyoto University, Kyoto 606-8502, Japan
(Received August 13, 1999)
Abstract:
We propose comparing cosmological solutions in terms of their
total spatial volumes V(τ) as functions of proper time τ,
assuming synchronous gauge, and with this intention evaluate the
variations of V(τ) about the
Friedmann-Lemaître-Robertson-Walker (FLRW) solutions for dust.
This can be done successfully in a simple manner without solving
perturbation equations. In particular, we find that first variations
vanish with respect to all directions which do not possess homogeneity
and isotropy preserving components; in other words, every FLRW
solution is a critical point for V(τ) in the properly
restricted subspace of the space of solutions. This property may
support a validity of the interpretation of the FLRW solutions as
constituting an averaged model. We also briefly investigate the second
variations of V(τ).
URL :
http://ptp.ipap.jp/link?PTP/102/1001/
DOI : 10.1143/PTP.102.1001
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