# Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime

## Abstract

We consider particlelike and black hole solutions of the Einstein-Yang-Mills system with positive cosmological constant in d>4 spacetime dimensions. These configurations are spherically symmetric and present a cosmological horizon for a finite value of the radial coordinate, approaching asymptotically the de Sitter background. In the usual Yang-Mills case, we find that the mass of these solutions, evaluated outside the cosmological horizon at future/past infinity, generically diverges for d>4. Solutions with finite mass are found by adding to the action higher order gauge field terms belonging to the Yang-Mills hierarchy. A discussion of the main properties of these solutions and their differences from those of the usual Yang-Mills model, both in four and higher dimensions, is presented.

- Authors:

- Physique-Mathematique, Universite de Mons-Hainaut, Mons (Belgium)
- Department of Mathematical Physics, National University of Ireland Maynooth, Maynooth (Ireland)
- (Ireland)

- Publication Date:

- OSTI Identifier:
- 20933281

- 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.75.024022; (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; DE SITTER GROUP; MASS; MATHEMATICAL SOLUTIONS; SPACE-TIME; YANG-MILLS THEORY

### Citation Formats

```
Brihaye, Yves, Radu, Eugen, Tchrakian, D. H., and School of Theoretical Physics-DIAS, 10 Burlington Road, Dublin 4.
```*Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.024022.

```
Brihaye, Yves, Radu, Eugen, Tchrakian, D. H., & School of Theoretical Physics-DIAS, 10 Burlington Road, Dublin 4.
```*Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime*. United States. doi:10.1103/PHYSREVD.75.024022.

```
Brihaye, Yves, Radu, Eugen, Tchrakian, D. H., and School of Theoretical Physics-DIAS, 10 Burlington Road, Dublin 4. Mon .
"Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime". United States.
doi:10.1103/PHYSREVD.75.024022.
```

```
@article{osti_20933281,
```

title = {Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime},

author = {Brihaye, Yves and Radu, Eugen and Tchrakian, D. H. and School of Theoretical Physics-DIAS, 10 Burlington Road, Dublin 4},

abstractNote = {We consider particlelike and black hole solutions of the Einstein-Yang-Mills system with positive cosmological constant in d>4 spacetime dimensions. These configurations are spherically symmetric and present a cosmological horizon for a finite value of the radial coordinate, approaching asymptotically the de Sitter background. In the usual Yang-Mills case, we find that the mass of these solutions, evaluated outside the cosmological horizon at future/past infinity, generically diverges for d>4. Solutions with finite mass are found by adding to the action higher order gauge field terms belonging to the Yang-Mills hierarchy. A discussion of the main properties of these solutions and their differences from those of the usual Yang-Mills model, both in four and higher dimensions, is presented.},

doi = {10.1103/PHYSREVD.75.024022},

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}

}