# Evanescent black holes

## Abstract

A renormalizable theory of quantum gravity coupled to a dilaton and conformal matter in two space-time dimensions is analyzed. The theory is shown to be exactly solvable classically. Included among the exact classical solutions are configurations describing the formation of a black hole by collapsing matter. The problem of Hawking radiation and back reaction of the metric is analyzed to leading order in a 1/{ital N} expansion, where {ital N} is the number of matter fields. The results suggest that the collapsing matter radiates away all of its energy before an event horizon has a chance to form, and black holes thereby disappear from the quantum-mechanical spectrum. It is argued that the matter asymptotically approaches a zero-energy bound state'' which can carry global quantum numbers and that a unitary {ital S} matrix including such states should exist.

- Authors:

- (Department of Physics, Princeton University, Princeton, New Jersey 08544 (United States))
- (Department of Physics, University of California, Santa Barbara, California 93106 (United States))
- (Enrico Fermi Institute, University of Chicago, 5640 Ellis Avenue, Chicago, Illinois 60637 (United States))

- Publication Date:

- OSTI Identifier:
- 7278144

- DOE Contract Number:
- AT03-76ER70023

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D (Particles Fields); (United States)

- Additional Journal Information:
- Journal Volume: 45:4; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; GRAVITATIONAL COLLAPSE; BOUND STATE; COSMOLOGY; EQUATIONS OF MOTION; FOUR-DIMENSIONAL CALCULATIONS; METRICS; QUANTUM GRAVITY; QUANTUM NUMBERS; RENORMALIZATION; S MATRIX; SPACE-TIME; TWO-DIMENSIONAL CALCULATIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; MATRICES; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; 661310* - Relativity & Gravitation- (1992-); 661100 - Classical & Quantum Mechanics- (1992-)

### Citation Formats

```
Callan, C.G. Jr., Giddings, S.B., Harvey, J.A., and Strominger, A.
```*Evanescent black holes*. United States: N. p., 1992.
Web. doi:10.1103/PhysRevD.45.R1005.

```
Callan, C.G. Jr., Giddings, S.B., Harvey, J.A., & Strominger, A.
```*Evanescent black holes*. United States. doi:10.1103/PhysRevD.45.R1005.

```
Callan, C.G. Jr., Giddings, S.B., Harvey, J.A., and Strominger, A. Sat .
"Evanescent black holes". United States. doi:10.1103/PhysRevD.45.R1005.
```

```
@article{osti_7278144,
```

title = {Evanescent black holes},

author = {Callan, C.G. Jr. and Giddings, S.B. and Harvey, J.A. and Strominger, A.},

abstractNote = {A renormalizable theory of quantum gravity coupled to a dilaton and conformal matter in two space-time dimensions is analyzed. The theory is shown to be exactly solvable classically. Included among the exact classical solutions are configurations describing the formation of a black hole by collapsing matter. The problem of Hawking radiation and back reaction of the metric is analyzed to leading order in a 1/{ital N} expansion, where {ital N} is the number of matter fields. The results suggest that the collapsing matter radiates away all of its energy before an event horizon has a chance to form, and black holes thereby disappear from the quantum-mechanical spectrum. It is argued that the matter asymptotically approaches a zero-energy bound state'' which can carry global quantum numbers and that a unitary {ital S} matrix including such states should exist.},

doi = {10.1103/PhysRevD.45.R1005},

journal = {Physical Review, D (Particles Fields); (United States)},

issn = {0556-2821},

number = ,

volume = 45:4,

place = {United States},

year = {1992},

month = {2}

}