# Gravity on an extended brane in six-dimensional warped flux compactifications

## Abstract

We study linearized gravity in a six-dimensional Einstein-Maxwell model of warped braneworlds, where the extra dimensions are compactified by a magnetic flux. It is difficult to construct a strict codimension two braneworld with matter sources other than pure tension. To overcome this problem we replace the codimension two defect by an extended brane, with one spatial dimension compactified on a Kaluza-Klein circle. Our background is composed of a warped, axisymmetric bulk and one or two branes. We find that weak gravity sourced by arbitrary matter on the brane(s) is described by a four-dimensional scalar-tensor theory. We show, however, that the scalar mode is suppressed at long distances and hence four-dimensional Einstein gravity is reproduced on the brane.

- Authors:

- Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551 (Japan)
- Arnold-Sommerfeld-Center for Theoretical Physics, Department fuer Physik, Ludwig-Maximilians-Universitaet, Theresienstr. 37, D-80333, Munich (Germany)

- Publication Date:

- OSTI Identifier:
- 20935262

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.104013; (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; AXIAL SYMMETRY; BRANES; COMPACTIFICATION; EINSTEIN-MAXWELL EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; GRAVITATION; KALUZA-KLEIN THEORY; M-THEORY; MAGNETIC FLUX; MANY-DIMENSIONAL CALCULATIONS; MATTER; SCALARS; TENSORS

### Citation Formats

```
Kobayashi, Tsutomu, and Minamitsuji, Masato.
```*Gravity on an extended brane in six-dimensional warped flux compactifications*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.104013.

```
Kobayashi, Tsutomu, & Minamitsuji, Masato.
```*Gravity on an extended brane in six-dimensional warped flux compactifications*. United States. doi:10.1103/PHYSREVD.75.104013.

```
Kobayashi, Tsutomu, and Minamitsuji, Masato. Tue .
"Gravity on an extended brane in six-dimensional warped flux compactifications". United States.
doi:10.1103/PHYSREVD.75.104013.
```

```
@article{osti_20935262,
```

title = {Gravity on an extended brane in six-dimensional warped flux compactifications},

author = {Kobayashi, Tsutomu and Minamitsuji, Masato},

abstractNote = {We study linearized gravity in a six-dimensional Einstein-Maxwell model of warped braneworlds, where the extra dimensions are compactified by a magnetic flux. It is difficult to construct a strict codimension two braneworld with matter sources other than pure tension. To overcome this problem we replace the codimension two defect by an extended brane, with one spatial dimension compactified on a Kaluza-Klein circle. Our background is composed of a warped, axisymmetric bulk and one or two branes. We find that weak gravity sourced by arbitrary matter on the brane(s) is described by a four-dimensional scalar-tensor theory. We show, however, that the scalar mode is suppressed at long distances and hence four-dimensional Einstein gravity is reproduced on the brane.},

doi = {10.1103/PHYSREVD.75.104013},

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

number = 10,

volume = 75,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}