  We have constructed equations of state involving various exotic forms of
matter with large strangeness fraction such as hyperon matter, Bose-Einstein
condensates of antikaons and strange quark matter. First order phase
transitions from hadronic to antikaon condensed and quark matter are considered
here. The hadronic phase is described by the relativistic field theoretical
model. Later those equations of state are exploited to investigate models of
uniformly rotating compact stars. The effect of rotation on the third family
branch for the equation of state involving only antikaon condensates is
investigated. We also discuss the back bending phenomenon due to a first order
phase transition from $K^-$ condensed to quark matter.
