Gravitational lensing statistics with extragalactic surveys. I. a lower limit on the cosmological constant - INSPIRE

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Gravitational lensing statistics with extragalactic surveys. I. a lower limit on the cosmological constant

Apr, 1999

16 pages

Published in:

Astron.Astrophys. 344 (1999) 721-744

e-Print:

astro-ph/9904174 [astro-ph]

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Abstract: (arXiv)

We reanalyse optical gravitational lens surveys from the literature in order to determine relative probabilities in the

\lambda_{0}

-

\Omega_{0}

plane, using a softened singular isothermal sphere lens model. In addition, we examine a portion of the

\lambda_{0}

-

\Omega_{0}

plane which includes all viable cosmological models: this is vital for comparison with other cosmological tests. The results are, within the errors, consistent with those of more specialised analyses, such as those concerning upper limits on

\lambda_{0}

in a flat universe. We note that gravitational lensing statistics can provide a quite robust LOWER limit on the cosmological constant as well, which could prove important in confirming current claims of a positive cosmological constant. At 95% confidence, our lower and upper limits on

\lambda_{0}-\Omega_{0}

, using lens statistics information alone, are respectively -3.17 and 0.3. For a flat universe, these correspond to lower and upper limits on

\lambda_{0}

of respectively -1.09 and 0.65.

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