# Quantum-corrected ultraextremal horizons and the validity of the WKB approximation in the massless limit

## Abstract

We consider quantum backreaction of the quantized scalar field with an arbitrary mass and curvature coupling on ultraextremal horizons. The problem is distinguished in that (in contrast to nonextremal or extremal black holes) the WKB approximation remains valid near r{sub +} (which is the radius of the horizon) even in the massless limit. We examine the behavior of the stress-energy tensor of the quantized field near r{sub +} and show that quantum-corrected objects under discussion do exist. In the limit of the large mass our results agree with previous ones known in literature.

- Authors:

- Department of Mathematics, Kazan State Pedagogical University, Mezhlauk 1 Street, Kazan 420021, (Russian Federation)
- (Ukraine)

- Publication Date:

- OSTI Identifier:
- 21020387

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.084018; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; COSMOLOGY; COUPLING; QUANTUM FIELD THEORY; REST MASS; SCALAR FIELDS; STRESSES; TENSORS; WKB APPROXIMATION

### Citation Formats

```
Popov, Arkady A., Zaslavskii, O. B., and Astronomical Institute of Kharkov V.N. Karazin National University, 35 Sumskaya St., Kharkov, 61022.
```*Quantum-corrected ultraextremal horizons and the validity of the WKB approximation in the massless limit*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.084018.

```
Popov, Arkady A., Zaslavskii, O. B., & Astronomical Institute of Kharkov V.N. Karazin National University, 35 Sumskaya St., Kharkov, 61022.
```*Quantum-corrected ultraextremal horizons and the validity of the WKB approximation in the massless limit*. United States. doi:10.1103/PHYSREVD.75.084018.

```
Popov, Arkady A., Zaslavskii, O. B., and Astronomical Institute of Kharkov V.N. Karazin National University, 35 Sumskaya St., Kharkov, 61022. Sun .
"Quantum-corrected ultraextremal horizons and the validity of the WKB approximation in the massless limit". United States.
doi:10.1103/PHYSREVD.75.084018.
```

```
@article{osti_21020387,
```

title = {Quantum-corrected ultraextremal horizons and the validity of the WKB approximation in the massless limit},

author = {Popov, Arkady A. and Zaslavskii, O. B. and Astronomical Institute of Kharkov V.N. Karazin National University, 35 Sumskaya St., Kharkov, 61022},

abstractNote = {We consider quantum backreaction of the quantized scalar field with an arbitrary mass and curvature coupling on ultraextremal horizons. The problem is distinguished in that (in contrast to nonextremal or extremal black holes) the WKB approximation remains valid near r{sub +} (which is the radius of the horizon) even in the massless limit. We examine the behavior of the stress-energy tensor of the quantized field near r{sub +} and show that quantum-corrected objects under discussion do exist. In the limit of the large mass our results agree with previous ones known in literature.},

doi = {10.1103/PHYSREVD.75.084018},

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

number = 8,

volume = 75,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}

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