# Static wormhole solution for higher-dimensional gravity in vacuum

## Abstract

A static wormhole solution for gravity in vacuum is found for odd dimensions greater than four. In five dimensions the gravitational theory considered is described by the Einstein-Gauss-Bonnet action where the coupling of the quadratic term is fixed in terms of the cosmological constant. In higher dimensions d=2n+1, the theory corresponds to a particular case of the Lovelock action containing higher powers of the curvature, so that in general, it can be written as a Chern-Simons form for the AdS group. The wormhole connects two asymptotically locally AdS spacetimes each with a geometry at the boundary locally given by RxS{sup 1}xH{sub d-3}. Gravity pulls towards a fixed hypersurface located at some arbitrary proper distance parallel to the neck. The causal structure shows that both asymptotic regions are connected by light signals in a finite time. The Euclidean continuation of the wormhole is smooth independently of the Euclidean time period, and it can be seen as instanton with vanishing Euclidean action. The mass can also be obtained from a surface integral and it is shown to vanish.

- Authors:

- Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria (5000) Cordoba (Argentina)
- Departamento de Fisica, Universidad de Concepcion, Casilla, 160-C, Concepcion (Chile)
- (CECS), Casilla 1469, Valdivia (Chile)
- Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile)

- Publication Date:

- OSTI Identifier:
- 20935221

- 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.75.024002; (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; COSMOLOGICAL CONSTANT; COSMOLOGICAL MODELS; COSMOLOGY; EUCLIDEAN SPACE; GEOMETRY; GRAVITATION; INSTANTONS; MATHEMATICAL SOLUTIONS; SPACE-TIME

### Citation Formats

```
Dotti, Gustavo, Oliva, Julio, Centro de Estudios Cientificos, and Troncoso, Ricardo.
```*Static wormhole solution for higher-dimensional gravity in vacuum*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.024002.

```
Dotti, Gustavo, Oliva, Julio, Centro de Estudios Cientificos, & Troncoso, Ricardo.
```*Static wormhole solution for higher-dimensional gravity in vacuum*. United States. doi:10.1103/PHYSREVD.75.024002.

```
Dotti, Gustavo, Oliva, Julio, Centro de Estudios Cientificos, and Troncoso, Ricardo. Mon .
"Static wormhole solution for higher-dimensional gravity in vacuum". United States.
doi:10.1103/PHYSREVD.75.024002.
```

```
@article{osti_20935221,
```

title = {Static wormhole solution for higher-dimensional gravity in vacuum},

author = {Dotti, Gustavo and Oliva, Julio and Centro de Estudios Cientificos and Troncoso, Ricardo},

abstractNote = {A static wormhole solution for gravity in vacuum is found for odd dimensions greater than four. In five dimensions the gravitational theory considered is described by the Einstein-Gauss-Bonnet action where the coupling of the quadratic term is fixed in terms of the cosmological constant. In higher dimensions d=2n+1, the theory corresponds to a particular case of the Lovelock action containing higher powers of the curvature, so that in general, it can be written as a Chern-Simons form for the AdS group. The wormhole connects two asymptotically locally AdS spacetimes each with a geometry at the boundary locally given by RxS{sup 1}xH{sub d-3}. Gravity pulls towards a fixed hypersurface located at some arbitrary proper distance parallel to the neck. The causal structure shows that both asymptotic regions are connected by light signals in a finite time. The Euclidean continuation of the wormhole is smooth independently of the Euclidean time period, and it can be seen as instanton with vanishing Euclidean action. The mass can also be obtained from a surface integral and it is shown to vanish.},

doi = {10.1103/PHYSREVD.75.024002},

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}

}