# New axisymmetric stationary solutions of five-dimensional vacuum Einstein equations with asymptotic flatness

## Abstract

New axisymmetric stationary solutions of the vacuum Einstein equations in five-dimensional asymptotically flat spacetimes are obtained by using solitonic solution-generating techniques. The new solutions are shown to be equivalent to the four-dimensional multisolitonic solutions derived from particular class of four-dimensional Weyl solutions and to include different black rings from those obtained by Emparan and Reall.

- Authors:

- Laboratory of Physics, College of Science and Technology, Nihon University, Narashinodai, Funabashi, Chiba 274-8501 (Japan)

- Publication Date:

- OSTI Identifier:
- 20776768

- 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.73.044030; (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; AXIAL SYMMETRY; BLACK HOLES; COSMOLOGY; EINSTEIN FIELD EQUATIONS; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; SOLITONS; SPACE-TIME

### Citation Formats

```
Mishima, Takashi, and Iguchi, Hideo.
```*New axisymmetric stationary solutions of five-dimensional vacuum Einstein equations with asymptotic flatness*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevD.73.044030.

```
Mishima, Takashi, & Iguchi, Hideo.
```*New axisymmetric stationary solutions of five-dimensional vacuum Einstein equations with asymptotic flatness*. United States. doi:10.1103/PhysRevD.73.044030.

```
Mishima, Takashi, and Iguchi, Hideo. Wed .
"New axisymmetric stationary solutions of five-dimensional vacuum Einstein equations with asymptotic flatness". United States.
doi:10.1103/PhysRevD.73.044030.
```

```
@article{osti_20776768,
```

title = {New axisymmetric stationary solutions of five-dimensional vacuum Einstein equations with asymptotic flatness},

author = {Mishima, Takashi and Iguchi, Hideo},

abstractNote = {New axisymmetric stationary solutions of the vacuum Einstein equations in five-dimensional asymptotically flat spacetimes are obtained by using solitonic solution-generating techniques. The new solutions are shown to be equivalent to the four-dimensional multisolitonic solutions derived from particular class of four-dimensional Weyl solutions and to include different black rings from those obtained by Emparan and Reall.},

doi = {10.1103/PhysRevD.73.044030},

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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