ACCELERATING UNIVERSES WITH SCALING DARK MATTER

Ускоряющиеся вселенные с масштабируемой тёмной материей
MICHEL CHEVALLIER, DAVID POLARSKI
2001-04-01

Friedmann–Robertson–Walker universesaccelerating universescritical pointsdark energy density Ω_X,0equation of state w_Xluminosity distance d_L(z)matter density parameter Ω_m,0redshift range 1<z<2scaling dark mattervariable equation of state
Friedmann–Robertson–Walker universes with a presently large fraction of the energy density stored in an X-component with w X <-1/3, are considered. We find all the critical points of the system for constant equations of state in that range. We consider further several background quantities that can distinguish the models with different w X values. Using a simple toy model with a varying equation of state, we show that even a large variation of w X at small redshifts is very difficult to observe with d L (z) measurements up to z~1. Therefore, it will require accurate measurements in the range 1 m,0 (and/or Ω X,0 ) in order to resolve a variable w X from a constant w X .
1
A toy model with a varying w_X shows that even large variations at low redshift are very difficult to detect using luminosity distance d_L(z) measurements up to z ≈ 1.
2
Detecting a variable w_X instead of a constant w_X requires accurate d_L(z) measurements in the range 1 < z < 2 and independent precise knowledge of Ω_m,0 and/or Ω_X,0.
3
For FRW universes with an X-component having constant equation of state w_X < -1/3, all critical points of the dynamical system are found.
4
Several background observables are identified that can distinguish models with different constant w_X values.

Friedmann–Robertson–Walker universes with an X-component (dark energy/dark matter component) having equation-of-state parameter w_X < -1/3

Dynamical critical points and observational distinguishability of models via the behavior and variation of the X-component equation-of-state w_X (including effects on background quantities and luminosity distance d_L(z)), and the requirements on redshift range and Ω_m,0/Ω_X,0 precision to resolve variable versus constant w_X

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2001-04-01
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MICHEL CHEVALLIER
DAVID POLARSKI
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