### Abstract

In Randall-Sundrum II (RS-II) braneworld model, it has been conjectured according to the AdS/CFT correspondence that brane-localized black hole (BH) larger than the bulk AdS curvature scale ℓ cannot be static , and it is dual to a 4 dimensional BH emitting the Hawking radiation through some quantum fields. In this scenario, the number of the quantum field species is so large that this radiation changes the orbital evolution of a BH binary. We derived the correction to the gravitational waveform phase due to this effect and estimated the upper bounds on ℓ by performing Fisher analyses. DECIGO/BBO is expected to detect 10^{5} BH/NS binaries per year. Taking this advantage, we found that DECIGO/BBO can actually measure ℓ down to ℓ = 0.328 μm for 5 year observation if we know that binaries are circular a priori. This is about 40 times smaller than the upper bound obtained from the table-top experiment.

Original language | English |
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Pages | 436-439 |

Number of pages | 4 |

Publication status | Published - Dec 1 2010 |

Externally published | Yes |

Event | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan Duration: Sep 21 2010 → Sep 25 2010 |

### Other

Other | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |
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Country | Japan |

City | Kyoto |

Period | 9/21/10 → 9/25/10 |

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### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

### Cite this

*Probing the size of extra dimension from gravitational wave astronomy*. 436-439. Paper presented at 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan.

**Probing the size of extra dimension from gravitational wave astronomy.** / Yagi, Kent; Tanahashi, Norihiro; Tanaka, Takahiro.

Research output: Contribution to conference › Paper

}

TY - CONF

T1 - Probing the size of extra dimension from gravitational wave astronomy

AU - Yagi, Kent

AU - Tanahashi, Norihiro

AU - Tanaka, Takahiro

PY - 2010/12/1

Y1 - 2010/12/1

N2 - In Randall-Sundrum II (RS-II) braneworld model, it has been conjectured according to the AdS/CFT correspondence that brane-localized black hole (BH) larger than the bulk AdS curvature scale ℓ cannot be static , and it is dual to a 4 dimensional BH emitting the Hawking radiation through some quantum fields. In this scenario, the number of the quantum field species is so large that this radiation changes the orbital evolution of a BH binary. We derived the correction to the gravitational waveform phase due to this effect and estimated the upper bounds on ℓ by performing Fisher analyses. DECIGO/BBO is expected to detect 105 BH/NS binaries per year. Taking this advantage, we found that DECIGO/BBO can actually measure ℓ down to ℓ = 0.328 μm for 5 year observation if we know that binaries are circular a priori. This is about 40 times smaller than the upper bound obtained from the table-top experiment.

AB - In Randall-Sundrum II (RS-II) braneworld model, it has been conjectured according to the AdS/CFT correspondence that brane-localized black hole (BH) larger than the bulk AdS curvature scale ℓ cannot be static , and it is dual to a 4 dimensional BH emitting the Hawking radiation through some quantum fields. In this scenario, the number of the quantum field species is so large that this radiation changes the orbital evolution of a BH binary. We derived the correction to the gravitational waveform phase due to this effect and estimated the upper bounds on ℓ by performing Fisher analyses. DECIGO/BBO is expected to detect 105 BH/NS binaries per year. Taking this advantage, we found that DECIGO/BBO can actually measure ℓ down to ℓ = 0.328 μm for 5 year observation if we know that binaries are circular a priori. This is about 40 times smaller than the upper bound obtained from the table-top experiment.

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UR - http://www.scopus.com/inward/citedby.url?scp=84887472483&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84887472483

SP - 436

EP - 439

ER -