Hawking radiation energy and entropy from a Bianchi-Smerlak semiclassical black hole

@article{Abdolrahimi2015HawkingRE,
  title={Hawking radiation energy and entropy from a Bianchi-Smerlak semiclassical black hole},
  author={Shohreh Abdolrahimi and Don N Page},
  journal={Physical Review D},
  year={2015},
  volume={92},
  pages={083005}
}
Eugenio Bianchi and Matteo Smerlak have found a relationship between the Hawking radiation energy and von Neumann entropy in a conformal field emitted by a semiclassical two-dimensional black hole. We compare this relationship with what might be expected for unitary evolution of a quantum black hole in four and higher dimensions. If one neglects the expected increase in the radiation entropy over the decrease in the black hole Bekenstein-Hawking $A/4$ entropy that arises from the scattering of… 

Figures from this paper

Correction to the entropy of a Kehagias–Sfetsos black hole based on GUP

The result shows that the thermodynamics properties of the black hole are greatly influenced by the GUP, and GUP-corrected entropy is higher than the original entropy.

Signatures of energy flux in particle production: a black hole birth cry and death gasp

A bstractIt is recently argued that if the Hawking radiation process is unitary, then a black hole’s mass cannot be monotonically decreasing. We examine the time dependent particle count and negative

On horizonless temperature with an accelerating mirror

A bstractA new solution of a unitary moving mirror is found to produce finite energy and emit thermal radiation despite the absence of an acceleration horizon. In the limit that the mirror approaches

Why Hawking Radiation Cannot Be Decoded

In this chapter, we come to the main part of the thesis—the extension of the Hiscock and Weems model to charged black holes with a flat horizon in anti-de Sitter spacetime, as a concrete example in

Implications of Conformal Symmetry in Quantum Mechanics

In conformal quantum mechanics with the vacuum of a real scaling dimension and with a complete orthonormal set of energy eigenstates which is preferable under the unitary evolution, the dilatation

Typical entanglement entropy in the presence of a center: Page curve and its variance

It is shown that for large systems the variance is small, $\Delta S_A/\langle{S_{A}}\rangle\ll 1$, and therefore the average entanglement entropy is typical and the exact formula for the average entropy and its variance in the presence of a center is presented.

Typical entropy of a subsystem: Page curve and its variance.

For a system of non-interacting spins in a magnetic field, the thermal entropy arises as the typical entanglement entropy of a subsystem as well as the application to physical systems in an energy eigenstate.

Page curve for fermionic Gaussian states

In a seminal paper, Page found the exact formula for the average entanglement entropy for a pure random state. We consider the analogous problem for the ensemble of pure fermionic Gaussian states,

References

SHOWING 1-10 OF 11 REFERENCES

Time Dependence of Hawking Radiation Entropy

If a black hole starts in a pure quantum state and evaporates completely by a unitary process, the von Neumann entropy of the Hawking radiation initially increases and then decreases back to zero

Entanglement entropy production in gravitational collapse: covariant regularization and solvable models

A bstractWe study the dynamics of vacuum entanglement in the process of gravitational collapse and subsequent black hole evaporation. In the first part of the paper, we introduce a covariant

Particle emission rates from a black hole. III. Charged leptons from a nonrotating hole

The Hawking emission rates from a nonrotating black hole of small charge are calculated for electrons and muons and their antiparticles. During the stochastic emission of these charged leptons, the

Entanglement entropy and negative energy in two dimensions

It is well known that quantum effects can produce negative energy densities, though for limited times. Here we show in the context of two-dimensional CFT that such negative energy densities are

Information in black hole radiation.

  • Page
  • Physics
    Physical review letters
  • 1993
If black hole formation evaporation can be described by an S matrix, information would be expected to come out in black hole radiation. An estimate shows that it may come out initially so slowly, or

Hawking radiation and black hole thermodynamics

An inexhaustive review of Hawking radiation and black hole thermodynamics is given, focusing especially upon some of the historical aspects as seen from the biased viewpoint of a minor player in the

Particle emission rates from a black hole: Massless particles from an uncharged, nonrotating hole

Hawking has predicted that a black hole will emit particles as if it had a temperature proportional to its surface gravity. This paper combines Hawking's quantum formalism with the black-hole

Average entropy of a subsystem.

  • Page
  • Mathematics
    Physical review letters
  • 1993
There is less than one-half unit of information, on average, in the smaller subsystem of a total system in a random pure state.

Last gasp of a black hole: unitary evaporation implies non-monotonic mass loss

We show within the usual two-dimensional approximation that unitarity and the restoration of Minkowski vacuum correlations at the end of black hole evaporation impose unexpected constraints on its

Particle emission rates from a black hole. II. Massless particles from a rotating hole

The calculations of the first paper of this series (for nonrotating black holes) are extended to the emission rates of massless or nearly massless particles from a rotating hole and the consequent