A Lower Limit on Omega_m - Omega_Lambda Using the Gravitational Lensing Rate in the Hubble Deep Field

Astronomy and Astrophysics – Astrophysics

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We calculate the expected number of multiply-imaged galaxies in the Hubble Deep Field (HDF), using photometric redshift information for galaxies with m_I < 27 that were detected in all four HDF passbands. A comparison of these expectations with the observed number of lensed sources in the HDF places a 95% confidence lower limit on the current value of Omega_m - Omega_Lambda between -0.17, if there are no strongly lensed sources in the HDF, and -0.59, if there are three strongly lensed sources in the HDF. For a flat universe, Lambda < 0.58 to 0.79. If the only lensed source in the HDF is the one presently viable candidate, then Omega_m - Omega_Lambda > -0.39. These lower limits are compatible with estimates based on high redshift supernovae and with previous limits based on gravitational lensing.

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