Abstract

The gravitational collapse of massive stars serves to manifest the most severe deviations of general relativity with respect to Newtonian gravity: the formation of horizons and spacetime singularities. Both features have proven to be catalysts of deep physical developments, especially when combined with the principles of quantum mechanics. Nonetheless, it is seldom remarked that it is hardly possible to combine all these developments into a unified theoretical model, while maintaining reasonable prospects for the independent experimental corroboration of its different parts. In this paper we review the current theoretical understanding of the physics of gravitational collapse in order to highlight this tension, stating the position that the standard view on evaporating black holes stands for. This serves as the motivation for the discussion of a recent proposal that offers the opposite perspective, represented by a set of geometries that regularize the classical singular behavior and present modifications of the near-horizon Schwarzschild geometry as the result of the propagation of non-perturbative ultraviolet effects originated in regions of high curvature. We present an extensive exploration of the necessary steps on the explicit construction of these geometries, and discuss how this proposal could change our present understanding of astrophysical black holes and even offer the possibility of detecting genuine ultraviolet effects on future gravitational wave experiments.

Highlights

  • Black holes are currently accepted as members of the bestiary of astronomical objects

  • The equations of general relativity (GR) automatically take into account the decay of non-spherical perturbations due to the emission of gravitational waves. This makes the problem more involved mathematically but, as we discuss in the following, having at hand the metric describing the bounce of the stellar structure one should be able to obtain a definite answer for the spectrum of gravitational waves that is produced in the process for a given perturbation of the initial configuration

  • It is not so often stressed that the present understanding of this problem is facing an important dilemma: most of the models in the market largely preserve the semiclassical picture of long-lived trapping horizons, obstructing their very experimental verification due to the ridiculous large lifetime of any regularly evaporating black holes (REBHs)

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Summary

Introduction

Black holes are currently accepted as members of the bestiary of astronomical objects. The overall picture is far from being completely self-consistent (see for instance the information loss problem [10] or the recent firewall controversy [11,12]), and surprises may arise as our knowledge about the high-energy properties of the gravitational interaction improves. This is the vision we align with in this paper.

Event Horizons
Singularities
Trapping Horizons
Preventing Singularities
Horizon Predominance
Preponderance of the Singularity Regularization
Collapse from Infinity and Homogenous Thin-Layer Transition
Non-Perturbative Ultraviolet Effects
Collapse from a Finite Radius and Triangular-Shaped Transition
Short-Lived Trapping Horizons
Short Transients and the Propagation of Non-Perturbative Ultraviolet Effects
Physical and Observational Consequences
Towards New Figures of Equilibrium
Energetics of the Transient Phase
Ripples from the Transient Phase
Recent Detection of Gravitational Waves from Coalescing Black Holes
Conclusions
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