  Stochastic variability in two out of four XMM-Newton observations of XMMU
J004303+4115 along with its power spectra and X-ray luminosities suggest a
low-mass X-ray binary (LMXB) with a black hole primary. However, Chandra
observations resolve the object into two point sources. We use data from 35
Chandra observations to analyse the contributions of each source, and attribute
the variability to CXOM31 J004303.2+411528 (known as r2-3), which varies in
intensity by a factor of ~100 between observations. We assume that the power
density spectra of LMXBs are governed by the luminosity, and that the
transition between types of power density spectra occurs at some critical
luminosity in Eddington units, l_c, that applies to all LMXBs. We use results
from these XMM-Newton observations and past results from the available
literature to estimate this transition luminosity, and find that all results
are consistent with l_c ~0.1 in the 0.3--10 keV band. CXOM31 J004303.2+411528
exhibits a low accretion rate power density spectrum at a 0.3--10 keV
luminosity of (5.3+/-0.6)x10^{37} erg/s. Known stellar mass black holes have
masses of 4--15 M_{\odot}; hence our observations of CXOM31 J004303.2+411528
are consistent with l_c ~0.1 if it has a black hole primary.

Astrophysics