  In this work, we study the effect of differential rotation, finite
temperature and strangeness on the quasi stationary sequences of hyper massive
neutron stars (HMNS). We generate constant rest mass sequences of
differentially rotating and uniformly rotating stars. The nucleonic matter
relevant to the star interior is described within the framework of the
relativistic mean field model with the DD2 parameter set. We also consider the
strange $\Lambda$ hyperons using the BHB$\Lambda\phi$ equation of state (EoS).
Additionally, we probe the behaviour of neutron stars (NS) with these
compositions at different temperatures. We report that the addition of hyperons
to the EoS produces a significant boost to the spin-up phenomenon. Moreover,
increasing the temperature can make the spin-up more robust. We also study the
impact of strangeness and thermal effects on the T/W instability. Finally, we
analyse equilibrium sequences of a NS following a stable transition from
differential rotation to uniform rotation. The decrease in frequency relative
to angular momentum loss during this transition is significantly smaller for
EoS containing hyperons, compared to nucleonic EoS.
