  Microstates of colinear black holes embedded in a multi-center Taub-NUT
spacetime are sought in 4 dimensions. A set of coupled ordinary partial
differential equations are obtained and solved for almost-BPS states, where
some supersymmetry is preserved in the context of N=2 supergravity in 4
dimensions. The regularity of solutions is being carefully considered and we
ensure that no CTC (closed time-like curves) are present. The larger framework
is that of 11-dimensional N=2 supergravity and the current theory is obtained
by compactifying down to 4 dimensions.
