# Black hole evaporation in a thermalized final-state projection model

## Abstract

We propose a modified version of the Horowitz-Maldacena final-state boundary condition based upon a matter-radiation thermalization hypothesis on the Black Hole interior, which translates into a particular entangled state with thermal Schmidt coefficients. We investigate the consequences of this proposal for matter entering the horizon, as described by a Canonical density matrix characterized by the matter temperature T. The emitted radiation is explicitly calculated and is shown to follow a thermal spectrum with an effective temperature T{sub eff}. We analyze the evaporation process in the quasistatic approximation, highlighting important differences in the late stages with respect to the usual semiclassical evolution, and calculate the fidelity of the emitted Hawking radiation relative to the infalling matter.

- Authors:

- Departamento de Fisica Teorica and IFIC, Universidad de Valencia-CSIC, Dr. Moliner 50, 46100 Burjassot (Spain)

- Publication Date:

- OSTI Identifier:
- 21020155

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.064009; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; BOUNDARY CONDITIONS; COSMOLOGY; DENSITY MATRIX; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; SEMICLASSICAL APPROXIMATION; THERMALIZATION

### Citation Formats

```
Fabbri, A., and Perez, A.
```*Black hole evaporation in a thermalized final-state projection model*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.064009.

```
Fabbri, A., & Perez, A.
```*Black hole evaporation in a thermalized final-state projection model*. United States. doi:10.1103/PHYSREVD.75.064009.

```
Fabbri, A., and Perez, A. Thu .
"Black hole evaporation in a thermalized final-state projection model". United States.
doi:10.1103/PHYSREVD.75.064009.
```

```
@article{osti_21020155,
```

title = {Black hole evaporation in a thermalized final-state projection model},

author = {Fabbri, A. and Perez, A.},

abstractNote = {We propose a modified version of the Horowitz-Maldacena final-state boundary condition based upon a matter-radiation thermalization hypothesis on the Black Hole interior, which translates into a particular entangled state with thermal Schmidt coefficients. We investigate the consequences of this proposal for matter entering the horizon, as described by a Canonical density matrix characterized by the matter temperature T. The emitted radiation is explicitly calculated and is shown to follow a thermal spectrum with an effective temperature T{sub eff}. We analyze the evaporation process in the quasistatic approximation, highlighting important differences in the late stages with respect to the usual semiclassical evolution, and calculate the fidelity of the emitted Hawking radiation relative to the infalling matter.},

doi = {10.1103/PHYSREVD.75.064009},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}