### Abstract

Wormholes solutions are discussed in a theory with antisymmetric 3-rank tensor field H_{mu nu rho} (axion) coupled to scalar fields. The authors also consider a generalised gravity theory, which action is given by S= integral d^{4}x square root -g(F( phi ,R)-^{1}/_{2}h( phi )( Del phi )^{2}-g^{2} H_{mu nu rho}
^{2}), with F( phi ,R) and h( phi ) being arbitrary functions of a scalar phi and a scalar curvature R. Since it is conformally equivalent to the Einstein-Hilbert system with H_{mu nu rho} coupled to a scalar field, the authors can apply the above discussion to such a theory. Most models (R^{2} model, Jordan-Brans-Dicke theory, Zee's induced gravity model and the Einstein theory with non-minimal coupling) contain wormhole solutions. Although a wormhole solution cannot occur in the four-dimensional effective theory from a superstring model (Giddings and Strominger (1988)), if the effective theory has a scalar field (not dilaton) coupled non-minimally, a wormhole solution becomes possible.

Original language | English |
---|---|

Article number | 005 |

Pages (from-to) | 955-963 |

Number of pages | 9 |

Journal | Classical and Quantum Gravity |

Volume | 7 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1990 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Classical and Quantum Gravity*,

*7*(6), 955-963. [005]. https://doi.org/10.1088/0264-9381/7/6/005

**Wormholes with scalar fields.** / Coule, David H.; Maeda, Keiichi.

Research output: Contribution to journal › Article

*Classical and Quantum Gravity*, vol. 7, no. 6, 005, pp. 955-963. https://doi.org/10.1088/0264-9381/7/6/005

}

TY - JOUR

T1 - Wormholes with scalar fields

AU - Coule, David H.

AU - Maeda, Keiichi

PY - 1990

Y1 - 1990

N2 - Wormholes solutions are discussed in a theory with antisymmetric 3-rank tensor field Hmu nu rho (axion) coupled to scalar fields. The authors also consider a generalised gravity theory, which action is given by S= integral d4x square root -g(F( phi ,R)-1/2h( phi )( Del phi )2-g2 Hmu nu rho 2), with F( phi ,R) and h( phi ) being arbitrary functions of a scalar phi and a scalar curvature R. Since it is conformally equivalent to the Einstein-Hilbert system with Hmu nu rho coupled to a scalar field, the authors can apply the above discussion to such a theory. Most models (R2 model, Jordan-Brans-Dicke theory, Zee's induced gravity model and the Einstein theory with non-minimal coupling) contain wormhole solutions. Although a wormhole solution cannot occur in the four-dimensional effective theory from a superstring model (Giddings and Strominger (1988)), if the effective theory has a scalar field (not dilaton) coupled non-minimally, a wormhole solution becomes possible.

AB - Wormholes solutions are discussed in a theory with antisymmetric 3-rank tensor field Hmu nu rho (axion) coupled to scalar fields. The authors also consider a generalised gravity theory, which action is given by S= integral d4x square root -g(F( phi ,R)-1/2h( phi )( Del phi )2-g2 Hmu nu rho 2), with F( phi ,R) and h( phi ) being arbitrary functions of a scalar phi and a scalar curvature R. Since it is conformally equivalent to the Einstein-Hilbert system with Hmu nu rho coupled to a scalar field, the authors can apply the above discussion to such a theory. Most models (R2 model, Jordan-Brans-Dicke theory, Zee's induced gravity model and the Einstein theory with non-minimal coupling) contain wormhole solutions. Although a wormhole solution cannot occur in the four-dimensional effective theory from a superstring model (Giddings and Strominger (1988)), if the effective theory has a scalar field (not dilaton) coupled non-minimally, a wormhole solution becomes possible.

UR - http://www.scopus.com/inward/record.url?scp=0001029658&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001029658&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/7/6/005

DO - 10.1088/0264-9381/7/6/005

M3 - Article

AN - SCOPUS:0001029658

VL - 7

SP - 955

EP - 963

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 6

M1 - 005

ER -