Caloric curves of self-gravitating fermions in general relativity

Alberti, Giuseppe; Chavanis, Pierre‐Henri

doi:10.1140/epjb/e2020-100557-6

Cited by 23 publications

(46 citation statements)

References 83 publications

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“…Heuristic arguments were presented in favor that the formation of suppermassive black holes in large galaxies could be explained by a relativistic gravothermal collapse of degenerate core of WDM particles with mass m in the keV scale. This picture is highly supported by recent studies by Chavanis and Alberti concerning the relativistic description of self-gravitating fermions enclosed into a box [41,74,76]. In any case, the keV scale seems to be very important to explain the observed properties of dwarfs and large galaxies.…”

Section: Discussionmentioning

confidence: 67%

“…[19,38]. The relativistic approach requires the adaptation of the methodology of Alberti and Chavanis [41,74,76] for a system of self-gravitating fermions that undergo the existence of evaporation. An important antecedent for this task is the called relativistic Woolley model developed by Katz and Horwitz [78,79], which should be regarded the case γ = 0 of relativistic γ-exponential models.…”

Section: Discussionmentioning

confidence: 99%

“…This same thermodynamic limit also applies for the case of fermionic King model [25]. In fact, the relevance of this thermodynamic limit for these type of systems was early demonstrated by Hertel and Thirring [40] and recovered from simpler (scaling) arguments in Section 7.1. of [8] and in Appendix B of [41] where it was called the quantum thermodynamic limit. For the sake of the self-consistency of the paper, let us recall some arguments leading to this thermodynamic limit as well as its applicability conditions.…”

Section: Concerning the Thermodynamic Limitmentioning

confidence: 99%

“…It requires a relativistic approach analogous the one developed by Chavanis and Alberti in Refs. [41,[74][75][76], but including the incidence of evaporation effects. In general, one could expected many qualitative behaviors similar to the ones reported in Refs.…”

Section: The Kev Scale and The Masses Of Large Galaxiesmentioning

confidence: 99%

“…In general, one could expected many qualitative behaviors similar to the ones reported in Refs. [41,74,76] replacing the box radius by the tidal radius. Accordingly, the relativistic approach of fermionic King model should be hallmarked by three characteristic lengths: the tidal radius R, the Fermi radius R F given by Equation (24), and the Schwarzschild radius R S = GM/c 2 .…”

Section: The Kev Scale and The Masses Of Large Galaxiesmentioning

confidence: 99%

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New Bounds for the Mass of Warm Dark Matter Particles Using Results from Fermionic King Model

Velázquez

2021

Universe

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After reviewing several aspects about the thermodynamics of self-gravitating systems that undergo the evaporation (escape) of their constituents, some recent results obtained in the framework of fermionic King model are applied here to the analysis of galactic halos considering warm dark matter (WDM) particles. According to the present approach, the reported structural parameters of dwarf galaxies are consistent with the existence of a WDM particle with mass in the keV scale. Assuming that the dwarf galaxy Willman 1 belongs to the region III of fermionic King model (whose gravothermal collapse is a continuous phase transition), one obtains the interval 1.2 keV ≤ m ≤ 2.6 keV for the mass of WDM particle. This analysis improves previous estimates by de Vega and co-workers [Astropart. Phys. 46 (2013) 14–22] considering both the quantum degeneration and the incidence of the constituents evaporation. This same analysis evidences that most of galaxies are massive enough to undergo a violent gravothermal collapse (a discontinuous microcanonical phase transition) that leads to the formation of a degenerate core of WDM particles. It is also suggested that quantum-relativistic processes governing the cores of large galaxies (e.g., the formation of supermassive black holes) are somehow related to the gravothermal collapse of the WDM degenerate cores when the total mass of these systems are comparable to the quantum-relativistic characteristic mass Mc=ℏc/G3/2m−2≃1012M⊙ obtained for WDM particles with mass m in the keV scale. The fact that a WDM particle with mass in the keV scale seems to be consistent with the observed properties of dwarf and large galaxies provides a strong support to this dark matter candidate.

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Section: Discussionmentioning

confidence: 67%

Section: Discussionmentioning

confidence: 99%

Section: Concerning the Thermodynamic Limitmentioning

confidence: 99%

Section: The Kev Scale and The Masses Of Large Galaxiesmentioning

confidence: 99%

Section: The Kev Scale and The Masses Of Large Galaxiesmentioning

confidence: 99%

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New Bounds for the Mass of Warm Dark Matter Particles Using Results from Fermionic King Model

Velázquez

2021

Universe

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Mathematical model for Sagittarius A* and related Tolman–Oppenheimer–Volkoff equations

Bors

Stańczy

2023

Math Methods in App Sciences

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We analyze the model describing the interaction of relativistic gravitationally attracting diffusive fermionic particles evaporating at high energy motivated by the recent observations of star trajectories under the influence of the dark matter. We extend to the relativistic case the results for the Michie-King distribution obtained in our previous paper. We consider more general equation of state for the Tolman-Oppenheimer-Volkoff equation. By fixed point arguments, we prove the existence of solutions. Next, by pressure-density estimates, we show some restrictions on the data of the system. Finally, by numerical simulations, we depict the density profile governed by the specific equation of state adapted to the Sagittarius A* located in the centre of the Milky Way.

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Accretion discs onto supermassive compact objects: A portal to dark matter physics in active galaxies

Millauro,

Argüelles,

Vieyro

et al. 2024

A&A

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The study of the physics of the accretion discs that develop around supermassive black hole (BH) candidates provides essential theoretical tools to test their nature. Here, we study the accretion flow and associated emission using generalised alpha -discs accreting onto horizonless dark compact objects in order to make comparisons with the traditional BH scenario. The BH alternative proposed here consists in a dense and highly degenerate core made of fermionic dark matter (DM) and surrounded by a more diluted DM halo. This dense core diluted halo DM configuration is a solution of Einstein's equation of general relativity (GR) in spherical symmetry, which naturally arises once the quantum nature of the DM fermions is duly accounted for. The methodology followed in this work consists in first generalising the theory of alpha -discs to work in the presence of regular and horizonless compact objects, and then applying it to the case of core halo DM profiles typical of active-like galaxies. The fact that the compactness of the dense and transparent DM core scales with particle mass allows the following key findings of this work: (i) There is always a given core compacity ---corresponding particle mass--- that produces a luminosity spectrum that is almost indistinguishable from that of a Schwarzschild BH of the same mass as the DM core. (ii) The disc can enter deep inside the non-rotating DM core, allowing accretion-powered efficiencies of as high as $28<!PCT!>$, which is comparable to that of a highly rotating Kerr BH. These results, together with the existence of a critical DM core mass of collapse into a supermassive BH, open new avenues of research for two seemingly unrelated topics: AGN phenomenology and dark matter physics.

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Caloric curves of self-gravitating fermions in general relativity

Cited by 23 publications

References 83 publications

New Bounds for the Mass of Warm Dark Matter Particles Using Results from Fermionic King Model

New Bounds for the Mass of Warm Dark Matter Particles Using Results from Fermionic King Model

Mathematical model for Sagittarius A* and related Tolman–Oppenheimer–Volkoff equations

Accretion discs onto supermassive compact objects: A portal to dark matter physics in active galaxies

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