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Fermionic microstates within Painlev\'e-Gullstrand black hole

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arxiv gr-qc/0111055 v1 pith:T6PPY4CL submitted 2001-11-17 gr-qc cond-mathep-ph

Fermionic microstates within Painlev\'e-Gullstrand black hole

classification gr-qc cond-mathep-ph
keywords vacuumblackholehorizonquantumconsiderfermionicstate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 Painlev\'e-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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Dirac-Line Criticality and Emergent Horizons in Weyl Lifshitz Transitions

    cond-mat.mes-hall 2026-05 unverdicted novelty 5.0

    The Lifshitz transition from type-I to type-II Weyl states is equivalent to a black hole horizon, featuring a Dirac-line Fermi surface with nontrivial topological invariant and critical chiral anomaly.

  2. Classical limit for Dirac fermions with modified action in the presence of the black hole

    gr-qc 2019-06 unverdicted novelty 5.0

    A covariant model of Dirac fermions with an extra Planck-derived term yields the same Einstein-equation collapse as ordinary GR yet permits numerical trajectories that escape the black hole.