Physics
Scientific paper
Sep 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009el.....8759001r&link_type=abstract
Europhysics Letters, Volume 87, Issue 5, pp. 59001 (2009).
Physics
1
Scientific paper
Defined as a global physical entity, the cosmological constant Λ appears here as a stationary functional of the metric, the matter (dark as well as visible) and the radiation fields. Subject to compact-support variations of the fields, δΛ=0 gives the metric, matter and radiation field equations. With this rigorous physical formulation, the empirical relation Λcong 2.7κρ 0, where ρ0 is the average energy-density of matter and radiation, follows from the spacetime average of κ (L-gμν ∂L/∂gμν) through the observable four-volume of the Universe on the homogeneity scale (~100 Mpc), where L is the Lagrangian of the matter and radiation fields. Hence, the notion of negative-pressure dark energy is obviated in favor of an energy-density relationship for the cosmological constant that derives from the physical principle δΛ=0. Moreover, this formulation can be employed practically to rule out certain common-suspect free fields as the dominant component of dark matter. In particular, it is readily shown that a massive spin-zero scalar free field or a massive spin-one vector free field are precluded as the dominant component of dark matter.
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