KOI-13.01, a planet-sized companion in an optical double star was announced
as one of the 1235 Kepler planet candidates in February 2011. The transit
curves show significant distortion that was stable over the ~130 days time-span
of the data. Here we investigate the phenomenon via detailed analyses of the
two components of the double star and a re-reduction of the Kepler data with
pixel-level photometry. Our results indicate that KOI-13 is a common proper
motion binary, with two rapidly rotating components (v sin i ~ 65--70 km/s). We
identify the host star of KOI-13.01 and conclude that the transit curve
asymmetry is consistent with a companion orbiting a rapidly rotating, possibly
elongated star on an oblique orbit. After correcting the Kepler light curve to
the second light of the optical companion star, we derive a radius of 2.2 R_J
for the transiter, implying an irradiated late-type dwarf, probably a hot brown
dwarf rather than a planet. KOI-13 is the first example for detecting orbital
obliquity for a substellar companion without measuring the Rossiter-McLaughlin
effect from spectroscopy.Comment: Accepted by ApJ Letters. A new part added about KOI-13.01 (Sect. 3.4
pars 2-4