EROS 2 proper motion survey: Constraints on the halo white dwarfs

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Abstract
We are conducting a proper motion survey in the ~V and I bands in order to determine the cool white dwarf contribution to the Galactic dark matter. Using the for which we possess three epochs, and applying selection criteria designed to isolate halo-type objects, we find no candidates in a effective volume for old, fast MV =17 white dwarfs. We check the detection efficiency by cross-matching our catalogue with Luyten's NLTT catalogue. The halo white dwarf contribution cannot exceed 5% (95% C.L.) for objects with and . The same conclusion applies to a 14 Gyr halo composed of white dwarfs with hydrogen atmosphere, as modeled by Chabrier.