D-dimensional self-gravitating lattice gas in general relativity

Using a lattice equation of state combined with the D-dimensional Tolman–Oppenheimer–Volkoff and Friedmann equations, we investigate possibility formation compact objects as well time evolution scale factor density profile self-gravitating material cluster. The numerical results show that in ([Formula: see text])-dimensional space–time, mass is independent central pressure. Hence, only finite constant similar to white dwarf possible. However, self-gravity leads large gap corresponding phase diagram has same structure one for Neutron Star. also beyond certain critical pressure, star unstable against gravitational collapse, it may end black hole. Analysis space–times higher dimensions shows gravity stronger effect [Formula: text] dimensions. Numerical solutions equations curvature space–time increases increasing temperature, but decreases dimensionality text].