Gravitational phase transitions and instabilities of self-gravitating fermions in general relativity

Abstract

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 (nondegenerate) limit, the system undergoes a gravitational collapse at low energies $E<E_c$ and low temperatures $T<T_c$. This is called "gravothermal catastrophe" in the microcanonical ensemble and "isothermal collapse" in the canonical ensemble. When quantum mechanics is taken into account and when the particle number is below the Oppenheimer-Volkoff limit ($N<N_{\mathrm{OV}}$), complete gravitational collapse is prevented by the Pauli exclusion principle. In that case, the Fermi gas undergoes a gravitational phase transition from a gaseous phase to a condensed phase. The condensed phase represents a compact object like a white dwarf, a neutron star, or a dark matter fermion ball. When $N>N_{\mathrm{OV}}$, there can be a subsequent gravitational collapse below a lower critical energy $E<E_c^{\prime \prime }$ or a lower critical temperature $T<T_c^{\prime }$ leading presumably to the formation of a black hole. The evolution of the system is different in the microcanonical and canonical ensembles. In the microcanonical ensemble, the system takes a "core-halo" structure. The core consists in a compact quantum object or a black hole while the hot halo is expelled at large distances. This is reminiscent of the red giant structure of low-mass stars or the implosion-explosion of massive stars (supernova). In the canonical ensemble, the system collapses as a whole towards a compact object or a black hole. This is reminiscent of the implosion of supermassive stars (hypernova).

References in corpus (20)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Self-Interacting Dark Matter Halos and the Gravothermal Catastrophe
• Gravitational instability of finite isothermal spheres
• Phase transitions in self-gravitating systems. Self-gravitating fermions and hard spheres models
• Thermodynamics and collapse of self-gravitating Brownian particles in D dimensions
• On the core-halo distribution of dark matter in galaxies
• On the lifetime of metastable states in self-gravitating systems
• Observational rotation curves and density profiles vs. the Thomas-Fermi galaxy structure theory
• Thermodynamics and Self-Gravitating Systems
• Models of dark matter halos based on statistical mechanics: II. The fermionic King model
• A predictive model of BEC dark matter halos with a solitonic core and an isothermal atmosphere
• Gravitational Phase Transition of Heavy Neutrino Matter
• Post-collapse dynamics of self-gravitating Brownian particles in D dimensions
• Derivation of the core mass -- halo mass relation of fermionic and bosonic dark matter halos from an effective thermodynamical model
• Thermodynamical instabilities of perfect fluid spheres in General Relativity
• Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes
• General-Relativistic Thomas-Fermi model
• Thermal Mass limit of Neutron Cores
• Relativistic Gravitational Phase Transitions and Instabilities of the Fermi Gas
• Dark matter in the Galaxy

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• Caloric curves of self-gravitating fermions in general relativity
• Predictive model of fermionic dark matter halos with a quantum core and an isothermal atmosphere
• On the growth of supermassive black holes formed from the gravitational collapse of fermionic dark matter cores
• Caloric curves of classical self-gravitating systems in general relativity
• Quantum tunneling rate of dilute axion stars close to the maximum mass
• Imaging fermionic dark matter cores at the center of galaxies
• Accretion discs onto supermassive compact objects: a portal to dark matter physics in active galaxies
• D-dimensional self-gravitating lattice gas in general relativity
• Scalar correlators and normal modes in holographic neutron stars