# Signatures of extra dimensions in gravitational waves

## Abstract

Considering gravitational waves propagating on the most general 4+ N -dimensional space-time, we investigate the effects due to the N extra dimensions on the four-dimensional waves. All wave equations are derived in general and discussed. On Minkowski{sub 4} times an arbitrary Ricci-flat compact manifold, we find: a massless wave with an additional polarization, the breathing mode, and extra waves with high frequencies fixed by Kaluza-Klein masses. We discuss whether these two effects could be observed.

- Authors:

- Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14467 Potsdam-Golm (Germany)

- Publication Date:

- OSTI Identifier:
- 22676140

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 06; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FOUR-DIMENSIONAL CALCULATIONS; GRAVITATIONAL WAVES; KALUZA-KLEIN THEORY; MANY-DIMENSIONAL CALCULATIONS; MASS; MINKOWSKI SPACE; POLARIZATION; SPACE-TIME; WAVE EQUATIONS

### Citation Formats

```
Andriot, David, and Gómez, Gustavo Lucena, E-mail: andriotphysics@gmail.com, E-mail: glucenag@aei.mpg.de.
```*Signatures of extra dimensions in gravitational waves*. United States: N. p., 2017.
Web. doi:10.1088/1475-7516/2017/06/048.

```
Andriot, David, & Gómez, Gustavo Lucena, E-mail: andriotphysics@gmail.com, E-mail: glucenag@aei.mpg.de.
```*Signatures of extra dimensions in gravitational waves*. United States. doi:10.1088/1475-7516/2017/06/048.

```
Andriot, David, and Gómez, Gustavo Lucena, E-mail: andriotphysics@gmail.com, E-mail: glucenag@aei.mpg.de. Thu .
"Signatures of extra dimensions in gravitational waves". United States.
doi:10.1088/1475-7516/2017/06/048.
```

```
@article{osti_22676140,
```

title = {Signatures of extra dimensions in gravitational waves},

author = {Andriot, David and Gómez, Gustavo Lucena, E-mail: andriotphysics@gmail.com, E-mail: glucenag@aei.mpg.de},

abstractNote = {Considering gravitational waves propagating on the most general 4+ N -dimensional space-time, we investigate the effects due to the N extra dimensions on the four-dimensional waves. All wave equations are derived in general and discussed. On Minkowski{sub 4} times an arbitrary Ricci-flat compact manifold, we find: a massless wave with an additional polarization, the breathing mode, and extra waves with high frequencies fixed by Kaluza-Klein masses. We discuss whether these two effects could be observed.},

doi = {10.1088/1475-7516/2017/06/048},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 06,

volume = 2017,

place = {United States},

year = {Thu Jun 01 00:00:00 EDT 2017},

month = {Thu Jun 01 00:00:00 EDT 2017}

}

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