  We introduce the Feldman-Katok pseudometric (FK-pseudometric for short) for
flows. We then provide a characterization of zero entropy loosely Bernoulli
measures for continuous flows via the FK-pseudometric extending the result
known for discrete-time dynamical systems. We also provide a purely topological
characterization of uniquely ergodic continuous flows whose unique invariant
measure is zero entropy loosely Bernoulli.
