# Inside the BTZ black hole

## Abstract

We consider a static circularly symmetric solution of three-dimensional Einstein equations with a negative cosmological constant (the BTZ black hole). The case of the zero cosmological constant corresponding to the interior region of a black hole is analyzed in detail. We prove that the maximally extended BTZ solution with the zero cosmological constant coincides with flat three-dimensional Minkowskian space-time without any singularities and horizons. The Euclidean version of this solution is shown to have a physical interpretation in the geometric theory of defects in solids describing combined wedge and screw dislocations.

- Authors:

- Departamento de Fisica, Universidade Federal de Juiz de Fora, Juiz de Fora CEP 36036-330, MG (Brazil)
- (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 20935223

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.024004; (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; COSMOLOGICAL CONSTANT; EINSTEIN FIELD EQUATIONS; EUCLIDEAN SPACE; MATHEMATICAL SOLUTIONS; MINKOWSKI SPACE; SCREW DISLOCATIONS; SINGULARITY; SPACE-TIME; THREE-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Berredo-Peixoto, G. de, Katanaev, M. O., and Steklov Mathematical Institute, Gubkin Street 8, Moscow, 119991.
```*Inside the BTZ black hole*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.024004.

```
Berredo-Peixoto, G. de, Katanaev, M. O., & Steklov Mathematical Institute, Gubkin Street 8, Moscow, 119991.
```*Inside the BTZ black hole*. United States. doi:10.1103/PHYSREVD.75.024004.

```
Berredo-Peixoto, G. de, Katanaev, M. O., and Steklov Mathematical Institute, Gubkin Street 8, Moscow, 119991. Mon .
"Inside the BTZ black hole". United States.
doi:10.1103/PHYSREVD.75.024004.
```

```
@article{osti_20935223,
```

title = {Inside the BTZ black hole},

author = {Berredo-Peixoto, G. de and Katanaev, M. O. and Steklov Mathematical Institute, Gubkin Street 8, Moscow, 119991},

abstractNote = {We consider a static circularly symmetric solution of three-dimensional Einstein equations with a negative cosmological constant (the BTZ black hole). The case of the zero cosmological constant corresponding to the interior region of a black hole is analyzed in detail. We prove that the maximally extended BTZ solution with the zero cosmological constant coincides with flat three-dimensional Minkowskian space-time without any singularities and horizons. The Euclidean version of this solution is shown to have a physical interpretation in the geometric theory of defects in solids describing combined wedge and screw dislocations.},

doi = {10.1103/PHYSREVD.75.024004},

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

number = 2,

volume = 75,

place = {United States},

year = {Mon Jan 15 00:00:00 EST 2007},

month = {Mon Jan 15 00:00:00 EST 2007}

}

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