We have studied the effect of tidal deformability constraint given by the binary neutron star merger event GW170817 on the equations of state ( EOS ) of hybrid stars .
The EOS are constructed by matching the hadronic EOS described by relativistic mean field ( RMF ) model and parameter sets NL3 , TM1 and NL3 \omega \rho with the quark matter EOS described by modified MIT bag model , via Gibbs ’ construction .
It is found that the tidal deformability constraint along with the lower bound on maximum mass ( M _ { max } = 2.01 \pm 0.04 M _ { \odot } ) significantly limits the bag model parameter space ( B _ { eff } ^ { 1 / 4 } , a _ { 4 } ) .
We also obtain upper limits on the radius of 1.4 M _ { \odot } and 1.6 M _ { \odot } stars as R _ { 1.4 } \leq 13.2 - 13.5 km and R _ { 1.6 } \leq 13.2 - 13.4 km , respectively for different hadronic EOS considered here .