Fermionic microstates within Painlevé-Gullstrand black hole

Abstract

We consider the quantum vacuum of fermionic field in the presence of a black-hole background as a possible candidate for the stabilized black hole. The stable vacuum state (as well as thermal equilibrium states with arbitrary temperature) can exist if we use the Painlevé-Gullstrand description of the black hole, and the superluminal dispersion of the particle spectrum at high energy, which is introduced in the free-falling frame. Such choice is inspired by the analogy between the quantum vacuum and the ground state of quantum liquid, in which the event horizon for the low-energy fermionic quasiparticles also can arise. The quantum vacuum is characterized by the Fermi surface, which appears behind the event horizon. We do not consider the back reaction, and thus there is no guarantee that the stable black hole exists. But if it does exist, the Fermi surface behind the horizon would be the necessary attribute of its vacuum state. We also consider exact discrete spectrum of fermions inside the horizon which allows us to discuss the problem of fermion zero modes.

LaTeX, 20 pages, 2 figures

References in corpus (3)

• Hawking Radiation in Laboratories
• Firewalls, black-hole thermodynamics, and singular solutions of the Tolman-Oppenheimer-Volkoff equation
• Fermion zero modes in Painlevé-Gullstrand black hole

Cited by in corpus (26)

• Analogue Gravity
• Magnetic breakdown and Klein tunneling in a type-II Weyl semimetal
• Topological Lifshitz transitions
• Exotic Lifshitz transitions in topological materials
• Lifshitz transitions, type-II Dirac and Weyl fermions, event horizon and all that
• Epsilon-Near-Zero Response and Tunable Perfect Absorption in Weyl Semimetals
• Type-III and IV interacting Weyl points
• Cyclotron resonance of figure-of-eight orbits in a type-II Weyl semimetal
• Hawking fragmentation and Hawking attenuation in Weyl semimetals
• Dimensional crossover of effective orbital dynamics in polar distorted 3He-A: Transitions to anti-spacetime
• Type-II Weyl semimetal vs gravastar
• Thermodynamics and decay of de Sitter vacuum
• Analogies between the Black Hole Interior and the Type II Weyl Semimetals
• Black hole mirages: electron lensing and Berry curvature effects in inhomogeneously tilted Weyl semimetals
• The black hole interior and the type II Weyl fermions
• Hall effect in the presence of rotation
• Chiral Spin-Chain Interfaces Exhibiting Event-Horizon Physics
• Generalized Painleve-Gullstrand descriptions of Kerr-Newman black holes
• The type II Weyl semimetals at low temperatures: chiral anomaly, elastic deformations, zero sound
• Analogue Hawking radiation as a tunneling in a two-level $\mathcal{P}\mathcal{T}$-symmetric system
• Optimally scrambling chiral spin-chain with effective black hole geometry
• Artificial Hawking radiation, weak pseudo-Hermiticity and Weyl semimetal blackhole analogy
• Smart Holes: Analogue black holes with the right temperature and entropy
• Optical Black-hole Analog Created by Topological Phase Transition with a Long-lived Horizon
• Classical limit for Dirac fermions with modified action in the presence of the black hole
• A weak pseudo-Hermitian two band model, artificial Hawking radiation and tunneling