Super massive black holes from the collapse of smaller black holes: Statistical mechanical and thermodynamic study

 The formation of super massive black holes is considered from the gravitational collapse of N self- gravitating smaller black holes. The statistical mechanics of the system is analyzed by constructing the micro canonical partition function following the method of calculation of the same quantity for a non ideal gas of atoms by replacing the Van der Waal's interaction with gravitational one and the hard  sphere with the black holes. The energy of the system in the low density and high density state is calculated which shows the final object as a super massive black hole. The thermodynamic study of the system by considering the free energy also shows the transition from an interacting gas state to a condensed form by the formation of a bigger and super massive black hole out of large number of    mini black holes.

REFERENCES:

1. S. Mishra and B. K. Lotte , Research gate(DOI: 10.13140/RG.2.2.29134.79687)

 2. T. Padmanabhan, Physics Reports, 188, No. 5, 285 (1990)

3. E. B. Aronson and C. J. Hansen, The Astrophysical Journal, 177, 145 (1972)