# Three-dimensional origin of Goedel spacetimes and black holes

## Abstract

We construct Goedel-type black hole and particle solutions to Einstein-Maxwell theory in 2+1 dimensions with a negative cosmological constant and a Chern-Simons term. On-shell, the electromagnetic stress-energy tensor effectively replaces the cosmological constant by minus the square of the topological mass and produces the stress-energy of a pressure-free perfect fluid. We show how a particular solution is related to the original Goedel universe and analyze the solutions from the point of view of identifications. Finally, we compute the conserved charges and work out the thermodynamics.

- Authors:

- Departamento de Fisica, P. Universidad Catolica de Chile, Casilla 306, Santiago 22 (Chile)
- (Belgium)
- (Chile)

- Publication Date:

- OSTI Identifier:
- 20776744

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.73.044006; (c) 2006 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; COSMOLOGY; EINSTEIN-MAXWELL EQUATIONS; IDEAL FLOW; MASS; MATHEMATICAL SOLUTIONS; ORIGIN; SPACE-TIME; STRESSES; SUPERGRAVITY; TENSORS; THERMODYNAMICS; THREE-DIMENSIONAL CALCULATIONS; TOPOLOGY; UNIVERSE

### Citation Formats

```
Banados, Maximo, Barnich, Glenn, Compere, Geoffrey, Gomberoff, Andres, Physique Theorique et Mathematique, Universite Libre de Bruxelles and International Solvay Institutes, Campus Plaine C.P. 231, B-1050 Brussels, and Universidad Nacional Andres Bello, Avenida Republica 239, Santiago.
```*Three-dimensional origin of Goedel spacetimes and black holes*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevD.73.044006.

```
Banados, Maximo, Barnich, Glenn, Compere, Geoffrey, Gomberoff, Andres, Physique Theorique et Mathematique, Universite Libre de Bruxelles and International Solvay Institutes, Campus Plaine C.P. 231, B-1050 Brussels, & Universidad Nacional Andres Bello, Avenida Republica 239, Santiago.
```*Three-dimensional origin of Goedel spacetimes and black holes*. United States. doi:10.1103/PhysRevD.73.044006.

```
Banados, Maximo, Barnich, Glenn, Compere, Geoffrey, Gomberoff, Andres, Physique Theorique et Mathematique, Universite Libre de Bruxelles and International Solvay Institutes, Campus Plaine C.P. 231, B-1050 Brussels, and Universidad Nacional Andres Bello, Avenida Republica 239, Santiago. Wed .
"Three-dimensional origin of Goedel spacetimes and black holes". United States.
doi:10.1103/PhysRevD.73.044006.
```

```
@article{osti_20776744,
```

title = {Three-dimensional origin of Goedel spacetimes and black holes},

author = {Banados, Maximo and Barnich, Glenn and Compere, Geoffrey and Gomberoff, Andres and Physique Theorique et Mathematique, Universite Libre de Bruxelles and International Solvay Institutes, Campus Plaine C.P. 231, B-1050 Brussels and Universidad Nacional Andres Bello, Avenida Republica 239, Santiago},

abstractNote = {We construct Goedel-type black hole and particle solutions to Einstein-Maxwell theory in 2+1 dimensions with a negative cosmological constant and a Chern-Simons term. On-shell, the electromagnetic stress-energy tensor effectively replaces the cosmological constant by minus the square of the topological mass and produces the stress-energy of a pressure-free perfect fluid. We show how a particular solution is related to the original Goedel universe and analyze the solutions from the point of view of identifications. Finally, we compute the conserved charges and work out the thermodynamics.},

doi = {10.1103/PhysRevD.73.044006},

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

number = 4,

volume = 73,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2006},

month = {Wed Feb 15 00:00:00 EST 2006}

}

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