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Core mass -- halo mass relation of bosonic and fermionic dark matter halos harbouring a supermassive black hole
Pierre-Henri Chavanis
We study the core mass -- halo mass relation of bosonic dark matter halos, in the form of self-gravitating Bose-Einstein condensates, harbouring a supermassive black hole. We use t…
Mass-radius relation of self-gravitating Bose-Einstein condensates with a central black hole
Pierre-Henri Chavanis
We determine the mass-radius relation of self-gravitating Bose-Einstein condensates with an attractive external potential created by a central mass. Following our previous w…
Statistical mechanics of self-gravitating systems in general relativity: II. The classical Boltzmann gas
Pierre-Henri Chavanis
We study the statistical mechanics of classical self-gravitating systems confined within a box of radius in general relativity. It has been found that the caloric curve $T_{\in…
Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas
Pierre-Henri Chavanis
We develop a general formalism to determine the statistical equilibrium states of self-gravitating systems in general relativity and complete previous works on the subject. Our res…
Caloric curves of classical self-gravitating systems in general relativity
Giuseppe Alberti, Pierre-Henri Chavanis
We determine the caloric curves of classical self-gravitating systems at statistical equilibrium in general relativity. In the classical limit, the caloric curves of a self-gravita…
Gravitational phase transitions and instabilities of self-gravitating fermions in general relativity
Pierre-Henri Chavanis, Giuseppe Alberti
We discuss the occurrence of gravitational phase transitions and instabilities in a gas of self-gravitating fermions within the framework of general relativity. In the classical (n…
Gravitational phase transition of self-gravitating systems of fermions in General Relativity
Giuseppe Alberti, Pierre-Henri Chavanis
The Thomas-Fermi model is extended at finite temperature, to describe the gravitational phase transition occurring in massive fermionic systems in a general-relativistic framework.…