We thoroughly investigate conformally Schwarzschild spacetimes in different coordinate systems to seek for physically reasonable models of a cosmological black hole. assume that conformal factor depends only on the time and spacetime is asymptotically flat Friedmann-Lema\^{\i}tre-Robertson-Walker universe filled by perfect fluid obeying linear equation state $p=w\rho$ with $w>-1/3$. In this cla...
