Configurational entropy of black hole quantum cores

Casadio, R.; Rocha, R. da; Meert, P.; Tabarroni, L.; W., Barreto,

doi:10.48550/arxiv.2206.10398

Cited by 3 publications

(8 citation statements)

References 34 publications

(51 reference statements)

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“…[7] and [8] coherent states were constructed to reproduce the classical Schwarzschild and Reissner-Nordström metrics. The condition of normalisability of such quantum states implies the necessary departure from the respective exact classical geometries, an effect that one can understand with the existence of an extended (quantum) matter core [15,16]. The similar quantum condition (1.5) has been analysed here in more generality to show that the classical singularity can be generically replaced by an integrable singular structure in the interior of a spherically symmetric black hole if m ∼ r near r = 0.…”

Section: Discussionmentioning

confidence: 86%

Quantum rotating black holes

Casadio¹,

Giusti²,

Ovalle³

2023

Preprint

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We consider black holes generically sourced by quantum matter described by regular wavefunctions. This allows for integrable effective energy densities and the removal of Cauchy horizons in spherically symmetric configurations. Moreover, we identify the ultrarigid rotation of the Kerr spacetime as causing the existence of an inner horizon in rotating systems, and describe general properties for quantum matter cores at the centre of rotating black holes with integrable singularities and no Cauchy horizon.

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Section: Discussionmentioning

confidence: 86%

Quantum rotating black holes

Casadio¹,

Giusti²,

Ovalle³

2023

Preprint

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“…[14] (see also Ref. [15] for more results 1 ) for which we will here estimate the effect of rotation. The key idea in Ref.…”

Section: Introductionmentioning

confidence: 93%

“…The case of purely radial motion was analysed in Refs. [14,15], which we briefly review here. For L μ 0, Eq.…”

Section: Zero Angular Momentum and Mass Quantisationmentioning

confidence: 99%

Slowly rotating quantum dust cores and black holes

Casadio

Tabarroni

2023

Eur. Phys. J. Plus

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We study the effect of rotation on the spectrum of bound states for dust cores that source (quantum) black holes found in Eur. Phys. J. C 82 (2022) 10. The dust ball is assumed to spin rigidly with sufficiently slow angular velocity that perturbation theory can be applied. Like the total mass, the total angular momentum is shown to be quantised in Planck units, hence so is the horizon area. For sufficiently small fraction of mass in the outermost layer, the model admits ground states which can spin fast enough within the perturbative regime so as to describe regular rotating objects rather than black holes.

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“…where V 0 ≡ V in (0) < 0 and all odd powers of r in the Taylor expansion must vanish due to the regularity condition (32). The approximate solution which matches the unique exterior (27) can then be written in terms of the compactness X as…”

Section: Uniform Spherementioning

confidence: 99%

“…This implies that no singularity ever appears but collapsing matter forms a quantum core of macroscopic size. Of course, the huge simplification in the model will reflect in a similarly large (configuration) entropy for such cores [32].…”

Section: Introductionmentioning

confidence: 99%

Horizon quantum mechanics and the inner side of black holes

Casadio

Giusti

Giugno

et al. 2022

The Fifteenth Marcel Grossmann Meeting

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The idea that gravity can act as a regulator of ultraviolet divergences is almost a century old and has inspired several approaches to quantum gravity. In fact, a minimum Planckian length can be shown to emerge from the nonlinear dynamics of gravity in the effective field theory approach to gravitational scatterings at Planckian energies. A simple quantum description of the gravitational collapse of a ball of dust supports the conclusion that such a length scale is indeed dynamical and matter inside black holes forms extended cores of macroscopic size. The geometry of these quantum black holes can be described by coherent states which cannot contain modes of arbitrarily short wavelength, compatibly with a matter core of finite size. Therefore, the classical central singularity is not realised, yet the expected general relativistic behaviour can be recovered in the weak-field region outside the horizon with good approximation. Deviations from classical general relativistic solutions are still present and form quantum hair which modify the thermodynamical description of black holes. These quantum black holes also avoid the presence of inner (Cauchy) horizons, since the effective energy density and pressures are integrable, as required by quantum physics, and not as regular as in classical physics.

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Configurational entropy of black hole quantum cores

Cited by 3 publications

References 34 publications

Quantum rotating black holes

Quantum rotating black holes

Slowly rotating quantum dust cores and black holes

Horizon quantum mechanics and the inner side of black holes

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