### Abstract

We investigate the nature of asymptotically de Sitter space-times containing a black hole. We show that if the matter fields satisfy the dominant energy condition and cosmic censorship holds in the considered space-time, the area of the cosmological event horizon for an observer approaching a future timelike infinity does not decrease; i.e., the second law is satisfied. We also show under the same conditions that the total area of the black hole and the cosmological event horizon, a quarter of which is the total Bekenstein-Hawking entropy, is less than 12π/Λ, where Λ is the cosmological constant. The physical implications are also discussed.

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

Pages (from-to) | 3503-3508 |

Number of pages | 6 |

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

Volume | 57 |

Issue number | 6 |

Publication status | Published - 1998 Mar 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*,

*57*(6), 3503-3508.

**Upper bound for entropy in asymptotically de Sitter space-time.** / Maeda, Kengo; Koike, Tatsuhiko; Narita, Makoto; Ishibashi, Akihiro.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 57, no. 6, pp. 3503-3508.

}

TY - JOUR

T1 - Upper bound for entropy in asymptotically de Sitter space-time

AU - Maeda, Kengo

AU - Koike, Tatsuhiko

AU - Narita, Makoto

AU - Ishibashi, Akihiro

PY - 1998/3/15

Y1 - 1998/3/15

N2 - We investigate the nature of asymptotically de Sitter space-times containing a black hole. We show that if the matter fields satisfy the dominant energy condition and cosmic censorship holds in the considered space-time, the area of the cosmological event horizon for an observer approaching a future timelike infinity does not decrease; i.e., the second law is satisfied. We also show under the same conditions that the total area of the black hole and the cosmological event horizon, a quarter of which is the total Bekenstein-Hawking entropy, is less than 12π/Λ, where Λ is the cosmological constant. The physical implications are also discussed.

AB - We investigate the nature of asymptotically de Sitter space-times containing a black hole. We show that if the matter fields satisfy the dominant energy condition and cosmic censorship holds in the considered space-time, the area of the cosmological event horizon for an observer approaching a future timelike infinity does not decrease; i.e., the second law is satisfied. We also show under the same conditions that the total area of the black hole and the cosmological event horizon, a quarter of which is the total Bekenstein-Hawking entropy, is less than 12π/Λ, where Λ is the cosmological constant. The physical implications are also discussed.

UR - http://www.scopus.com/inward/record.url?scp=0001152188&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001152188&partnerID=8YFLogxK

M3 - Article

VL - 57

SP - 3503

EP - 3508

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 6

ER -