### Abstract

In recent work we have shown that a black hole stacked on a brane escapes once it acquires a recoil velocity. This result was obtained in the probe-brane approximation, i.e., when the tension of the brane is negligibly small. Therefore, it is not clear whether the effect of the brane tension may prevent the black hole from escaping for small recoil velocities. The question is whether a critical escape velocity exists. Here, we analyze this problem by studying the interaction between a Dirac-Nambu-Goto brane and a black hole assuming adiabatic (quasistatic) evolution. By describing the brane in a fixed black hole spacetime, which restricts our conclusions to lowest order effects in the tension, we find that the critical escape velocity does not exist for codimension one branes, while it does for higher codimension branes.

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

Article number | 045013 |

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

Volume | 74 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2006 Aug 23 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

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

*74*(4), [045013]. https://doi.org/10.1103/PhysRevD.74.045013

**Critical escape velocity of black holes from branes.** / Flachi, Antonino; Pujolàs, Oriol; Sasaki, Misao; Tanaka, Takahiro.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 74, no. 4, 045013. https://doi.org/10.1103/PhysRevD.74.045013

}

TY - JOUR

T1 - Critical escape velocity of black holes from branes

AU - Flachi, Antonino

AU - Pujolàs, Oriol

AU - Sasaki, Misao

AU - Tanaka, Takahiro

PY - 2006/8/23

Y1 - 2006/8/23

N2 - In recent work we have shown that a black hole stacked on a brane escapes once it acquires a recoil velocity. This result was obtained in the probe-brane approximation, i.e., when the tension of the brane is negligibly small. Therefore, it is not clear whether the effect of the brane tension may prevent the black hole from escaping for small recoil velocities. The question is whether a critical escape velocity exists. Here, we analyze this problem by studying the interaction between a Dirac-Nambu-Goto brane and a black hole assuming adiabatic (quasistatic) evolution. By describing the brane in a fixed black hole spacetime, which restricts our conclusions to lowest order effects in the tension, we find that the critical escape velocity does not exist for codimension one branes, while it does for higher codimension branes.

AB - In recent work we have shown that a black hole stacked on a brane escapes once it acquires a recoil velocity. This result was obtained in the probe-brane approximation, i.e., when the tension of the brane is negligibly small. Therefore, it is not clear whether the effect of the brane tension may prevent the black hole from escaping for small recoil velocities. The question is whether a critical escape velocity exists. Here, we analyze this problem by studying the interaction between a Dirac-Nambu-Goto brane and a black hole assuming adiabatic (quasistatic) evolution. By describing the brane in a fixed black hole spacetime, which restricts our conclusions to lowest order effects in the tension, we find that the critical escape velocity does not exist for codimension one branes, while it does for higher codimension branes.

UR - http://www.scopus.com/inward/record.url?scp=33747367941&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747367941&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.74.045013

DO - 10.1103/PhysRevD.74.045013

M3 - Article

AN - SCOPUS:33747367941

VL - 74

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 4

M1 - 045013

ER -