QCD critical point in the strong coupling lattice QCD and during black hole formation

We discuss the QCD phase diagram from two different point of view. We firstinvestigate the phase diagram structure in the strong coupling lattice QCD withPolyakov loop effects, and show that the the chiral and Z_{N_c} deconfinementtransition boundaries deviate at finite mu as suggested from large N_carguments. Next we discuss the possibility to probe the QCD critical pointduring prompt black hole formation processes. The thermodynamical evolutionduring the black hole formation would result in quark matter formation, and thecritical point in isospin asymmetric matter may be swept. (T,mu_B) regionprobed in heavy-ion collisions and the black hole formation processes coversmost of the critical point locations predicted in recent lattice Monte-Carlosimulations and chiral effective models.