### Abstract

We examine static perfect fluid spheres in the presence of a cosmological constant. Because of the cosmological constant, new classes of exact matter solutions are found. One class of solutions requires the Nariai metric in the vacuum region. Another class generalizes the Einstein static universe such that neither its energy density nor its pressure is constant throughout the spacetime. Using analytical techniques we derive conditions depending on the equation of state to locate the vanishing pressure surface. This surface can, in general, be located in regions where, going outwards, the area of the spheres associated with the group of spherical symmetry is decreasing. We use numerical methods to integrate the field equations for realistic equations of state and find consistent results.

Original language | English |
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Article number | 064008 |

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

Volume | 77 |

Issue number | 6 |

DOIs | |

Publication status | Published - Mar 6 2008 |

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### ASJC Scopus subject areas

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

### Cite this

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

*77*(6), [064008]. https://doi.org/10.1103/PhysRevD.77.064008

**Perfect fluid spheres with cosmological constant.** / Böhmer, Christian G.; Fodor, G.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 77, no. 6, 064008. https://doi.org/10.1103/PhysRevD.77.064008

}

TY - JOUR

T1 - Perfect fluid spheres with cosmological constant

AU - Böhmer, Christian G.

AU - Fodor, G.

PY - 2008/3/6

Y1 - 2008/3/6

N2 - We examine static perfect fluid spheres in the presence of a cosmological constant. Because of the cosmological constant, new classes of exact matter solutions are found. One class of solutions requires the Nariai metric in the vacuum region. Another class generalizes the Einstein static universe such that neither its energy density nor its pressure is constant throughout the spacetime. Using analytical techniques we derive conditions depending on the equation of state to locate the vanishing pressure surface. This surface can, in general, be located in regions where, going outwards, the area of the spheres associated with the group of spherical symmetry is decreasing. We use numerical methods to integrate the field equations for realistic equations of state and find consistent results.

AB - We examine static perfect fluid spheres in the presence of a cosmological constant. Because of the cosmological constant, new classes of exact matter solutions are found. One class of solutions requires the Nariai metric in the vacuum region. Another class generalizes the Einstein static universe such that neither its energy density nor its pressure is constant throughout the spacetime. Using analytical techniques we derive conditions depending on the equation of state to locate the vanishing pressure surface. This surface can, in general, be located in regions where, going outwards, the area of the spheres associated with the group of spherical symmetry is decreasing. We use numerical methods to integrate the field equations for realistic equations of state and find consistent results.

UR - http://www.scopus.com/inward/record.url?scp=41449106915&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=41449106915&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.77.064008

DO - 10.1103/PhysRevD.77.064008

M3 - Article

AN - SCOPUS:41449106915

VL - 77

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 6

M1 - 064008

ER -