Published online by Cambridge University Press: 25 September 2002
In this paper we examine the effects introduced in the luminosityfunction of white dwarf stars by a change of the gravitationalconstant during the life of the Universe. A decrease of G inducesthe expansion of the star and accelerates its cooling. This effecthas noticeable effects on the luminosity function and can be used toset upper bounds on the rate of change of G. Preliminary resultsindicate that Ġ/G ≤ 10-13 yr-1. These values are thebest ever obtained and will improve as the white dwarf luminosityfunction will improve.