### Abstract

Static spherically symmetric gravitational equilibria of the real scalar field are discussed in the presence of the cosmological constant. We find nontrivial solutions if we take the self-interaction of the field into account while there is no such equilibria in the noninteracting case. The system has critical parameters beyond which new solutions disappear. They are determined by the ratio of the cosmological horizon to the "Compton radius" of the scalar field. We also discuss the stability of the solutions by means of a linear perturbation method and find that the number of unstable modes depends on the node number of the scalar field.

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

Pages (from-to) | 1-7 |

Number of pages | 7 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 59 |

Issue number | 10 |

Publication status | Published - 1999 May 15 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*59*(10), 1-7.

**Can the cosmological constant support a scalar field?** / Torii, Takashi; Maeda, Kengo; Narita, Makoto.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 59, no. 10, pp. 1-7.

}

TY - JOUR

T1 - Can the cosmological constant support a scalar field?

AU - Torii, Takashi

AU - Maeda, Kengo

AU - Narita, Makoto

PY - 1999/5/15

Y1 - 1999/5/15

N2 - Static spherically symmetric gravitational equilibria of the real scalar field are discussed in the presence of the cosmological constant. We find nontrivial solutions if we take the self-interaction of the field into account while there is no such equilibria in the noninteracting case. The system has critical parameters beyond which new solutions disappear. They are determined by the ratio of the cosmological horizon to the "Compton radius" of the scalar field. We also discuss the stability of the solutions by means of a linear perturbation method and find that the number of unstable modes depends on the node number of the scalar field.

AB - Static spherically symmetric gravitational equilibria of the real scalar field are discussed in the presence of the cosmological constant. We find nontrivial solutions if we take the self-interaction of the field into account while there is no such equilibria in the noninteracting case. The system has critical parameters beyond which new solutions disappear. They are determined by the ratio of the cosmological horizon to the "Compton radius" of the scalar field. We also discuss the stability of the solutions by means of a linear perturbation method and find that the number of unstable modes depends on the node number of the scalar field.

UR - http://www.scopus.com/inward/record.url?scp=17044410387&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17044410387&partnerID=8YFLogxK

M3 - Article

VL - 59

SP - 1

EP - 7

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

ER -