Gravitational lensing statistics with extragalactic surveys - IV. Joint constraints on lambda(0) and Omega(0) from gravitational lensing statistics and CMB anisotropies
Jf. Macias-perez et al., Gravitational lensing statistics with extragalactic surveys - IV. Joint constraints on lambda(0) and Omega(0) from gravitational lensing statistics and CMB anisotropies, ASTRON ASTR, 353(2), 2000, pp. 419-426
We present constraints on the cosmological constant lambda(0) and the densi
ty parameter Omega(0) from joint constraints from the analyses of gravitati
onal lensing statistics of the Jo- drell Bank-VLA Astrometric Survey (JVAS)
, optical gravitational lens surveys from the literature and CMB anisotropi
es. This is the first time that quantitative joint constraints involving le
nsing statistics and CMB anisotropies have been presented. Within the assum
ptions made, we achieve very tight constraints on both lambda(0) and Omega(
0). These assumptions are cold dark matter models, no tensor components, no
reionisation, CMB temperature T-CMB = 2.728 K, number of neutrinos n(nu) =
3, helium abundance Y-HE = 0.246, spectral index n(s) = 1.0, Hubble consta
nt H-0 = 68 km s(-1) Mpc(-1), baryonic density Omega(b) = 0.05. All models
were normalised to the COBE data and no closed models (k = +1) were compute
d. Using the CMB data alone, the best-fit model has lambda(0) = 0.60 and la
mbda(0) = 0.34 and at 99% confidence the lower limit on lambda(0) + Omega(0
) is 0.8. Including constraints from gravitational lensing statistics doesn
't change this significantly, although it does change the allowed region of
parameter space. A universe with lambda(0) = 0 is ruled out for any value
of Omega(0) at better than 99% confidence using the CMB alone. Combined wit
h constraints from lensing statistics, lambda(0) = 0 is also ruled out at b
etter than 99% confidence.
As the region of parameter space allowed by the CMB is, within our assumpti
ons, much smaller than that allowed by lensing statistics, the main result
of combining, a the two is to change the range of parameter space allowed b
y the CMB along its axis of degeneracy.