Limits on dark energy-matter interaction from the Hubble relation for two-fluid FLRW models

Details Limits on dark energy-matter interaction from the Hubble relation for two-fluid FLRW models Limits on dark energy-matter interaction from the Hubble relation for two-fluid FLRW models

Aug 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003a%26a...407l...9t&link_type=abstract

Astronomy and Astrophysics, v.407, p.L9-L12 (2003)

Mathematics

Logic

4

Cosmology: Theory, Dark Energy, Cosmological Parameters

Scientific paper

In the standard model (Omegam 0 ~ 0.3, Omega Lambda 0 ~ 0.7) it is assumed that there is no convertion (energy transfer) between the two components. However, this hypothesis requires observational tests. A general approach to multicomponent FLRW models comes from a new classification (Gromov et al. \cite{gromov02}) which naturally follows from two independent model properties: 1) stationarity (or not) of equations of state of component substances and the presence (or absence) of energy transfer between these. The associated one-fluid model becomes characterized by gamma = Ptotal/Etotal. For the case gamma = constant (which for a stationary equation state of dark energy means coherent evolution and is caused by energy transfer), a general integral expression for the analogue of the Mattig equation is derived. For flat geometry, the integral reduces to a simple analytic expression. Comparison with the magnitude-redshift relation for the standard model shows that gamma ~ -0.55 gives the same relation within 0.05 mag in the range 0 < z < 1.2. The observable gamma gives a robust upper limit to w in the equation of state of dark energy.

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