We analyzed the host stars of the present sample of confirmed planets
detected by Kepler and Kepler Objects of Interest (KOI) to compute new
photometric rotation periods and to study the behavior of their angular
momentum. Lomb-Scargle periodograms and wavelet maps were computed for 3,807
stars. For 540 of these stars, we were able to detect rotational modulation of
the light curves at a significance level of greater than 99%. For 63 of these
540 stars, no rotation measurements were previously available in the
literature. According to the published masses and evolutionary tracks of the
stars in this sample, the sample is composed of M- to F-type stars (with masses
of 0.48-1.53 M⊙) with rotation periods that span a range of 2 to 89
days. These periods exhibit an excellent agreement with previously reported
(for the stars for which such values are available), and the observed
rotational period distribution strongly agrees with theoretical predictions.
Furthermore, for the 540 sources considered here, the stellar angular momentum
provides an important test of Kraft's relation based on the photometric
rotation periods. Finally, this study directly contributes in a direct approach
to our understanding of how angular momentum is distributed between the host
star and its (detected) planetary system; the role of angular momentum exchange
in such systems is an unavoidable piece of the stellar rotation puzzle.Comment: 11 pages, 7 figures, 1 tabl