Interior of Black Holes and Information Recovery

Abstract

We analyze time evolution of a spherically symmetric collapsing matter from a point of view that black holes evaporate by nature. We first consider a spherical thin shell that falls in the metric of an evaporating Schwarzschild black hole of which the radius $a(t)$ decreases in time. The important point is that the shell can never reach $a(t)$ but it approaches $a(t)-a(t)\frac{da(t)}{dt}$. This situation holds at any radius because the motion of a shell in a spherically symmetric system is not affected by the outside. In this way, we find that the collapsing matter evaporates without forming a horizon. Nevertheless, a Hawking-like radiation is created in the metric, and the object looks the same as a conventional black hole from the outside. We then discuss how the information of the matter is recovered. We also consider a black hole that is adiabatically grown in the heat bath and obtain the interior metric. We show that it is the self-consistent solution of $G_{\mu \nu }=8\pi G⟨T_{\mu \nu }⟩$ and that the four-dimensional Weyl anomaly induces the radiation and a strong angular pressure. Finally, we analyze the internal structures of the charged and the slowly rotating black holes.

Appear in Physical Review D. Typos fixed. References, clarifications and new appendixes added

References in corpus (14)

• Black hole evaporation: A paradigm
• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
• Observation of Incipient Black Holes and the Information Loss Problem
• Minimal conditions for the existence of a Hawking-like flux
• Macroscopic Effects of the Quantum Trace Anomaly
• Hawking-like radiation from evolving black holes and compact horizonless objects
• The lifetime problem of evaporating black holes: mutiny or resignation
• Radiation from a collapsing object is manifestly unitary
• Singularity avoidance in quantum-inspired inhomogeneous dust collapse
• Black hole evaporation without an event horizon
• Phenomenological Description of the Interior of the Schwarzschild Black Hole
• Comment on Self-Consistent Model of Black Hole Formation and Evaporation
• A state description of pair production from Dirac sea in gravitational field --physical interpretation of Weyl anomaly--

Cited by in corpus (49)

• Notes on non-singular models of black holes
• Phenomenological aspects of black holes beyond general relativity
• Classical collapse to black holes and quantum bounces: A review
• Probing microstructure of black hole spacetimes with gravitational wave echoes
• Where does the physics of extreme gravitational collapse reside?
• Role of evaporation in gravitational collapse
• On an alternative mechanism for the black hole echoes
• The Absence of Horizon in Black-Hole Formation
• Pre-Hawking radiation cannot prevent the formation of apparent horizon
• Analysis of a regular black hole in Verlinde's gravity
• Static Black Holes With Back Reaction From Vacuum Energy
• Quantum fields during black hole formation: How good an approximation is the Unruh state?
• Static Black Hole and Vacuum Energy: Thin Shell and Incompressible Fluid
• Black Hole as a Quantum Field Configuration
• Implications of a Simpson-Visser solution in Verlinde's framework
• On the Near-Horizon Geometry of an Evaporating Black Hole
• Cuspy and fractured black hole shadows in a toy model with axisymmetry
• An Analytic Description of Semi-Classical Black-Hole Geometry
• Entropy corresponding to the interior of a Schwarzschild black hole
• Asymptotic Black Holes
• An Entropy-Area Law for Neutron Stars Near the Black Hole Threshold
• Imaging a semi-classical horizonless compact object with strong redshift
• Effective Tolman temperature induced by trace anomaly
• From Uneventful Horizon to Firewall in D-Dimensional Effective Theory
• Interior Metric of Slowly Formed Black Holes in a Heat Bath
• A way to distinguish very compact stellar objects from black holes
• Quantum Black Hole Seismology II: Applications to Astrophysical Black Holes
• Quantum vacuum effects on the formation of black holes
• Semi-Classical Backreaction on Asymptotically Anti-de Sitter Black Holes
• Absorption cross-sections of small quasi-spherical black holes: the massless scalar case
• Firewall From Effective Field Theory
• Quantum Jump from Singularity to Outside of Black Hole
• Unveiling horizons in quantum critical collapse
• Distance between collapsing matter and trapping horizon in evaporating black holes
• Resolution to the firewall paradox: The black hole information paradox and highly squeezed interior quantum fluctuations
• The effective Tolman temperature in curved spacetimes
• Asymptotic States of Black Holes in KMY Model
• Self-Gravity and Bekenstein-Hawking Entropy
• Vacuum Energy at Apparent Horizon in Conventional Model of Black Holes
• Computation of the semiclassical outflux emerging from a collapsing spherical null shell
• The CR Volume for Black Holes and the Corresponding Entropy Variation: A Review
• Black hole information paradox without Hawking radiation
• Final-State Condition And Dissipative Quantum Mechanics
• Page curves and island's delays in asymptotically flat 2d spacetimes with injections
• Hawking Radiation as a Probe for the Interior Structure of Regular Black Holes
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• A Model of the Collapse and Evaporation of Charged Black Holes
• Black Holes as a Gateway to the Quantum: Classical and Semi-Classical Explorations
• Anomaly induced quantum correction to charged black holes; geometry and thermodynamics