### Abstract

Black hole evaporation is studied using wave packets for the modes. These allow for approximate frequency and time resolution. The leading order late time behavior gives the well-known Hawking radiation that is independent of how the black hole formed. The focus here is on the higher order terms and the rate at which they damp at late times. Some of these terms carry information about how the black hole formed. A general argument is given which shows that the damping is significantly slower (power law) than what might be naively expected from a stationary phase approximation (exponential). This result is verified by numerical calculations in the cases of 2D and 4D black holes that form from the collapse of a null shell.

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

Article number | 061703 |

Journal | Physical Review D |

Volume | 100 |

Issue number | 6 |

DOIs | |

Publication status | Published - Sep 24 2019 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*100*(6), [061703]. https://doi.org/10.1103/PhysRevD.100.061703

**Late time approach to Hawking radiation : Terms beyond leading order.** / Anderson, Paul R.; Clark, Raymond D.; Fabbri, Alessandro; Good, Michael R.R.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 100, no. 6, 061703. https://doi.org/10.1103/PhysRevD.100.061703

}

TY - JOUR

T1 - Late time approach to Hawking radiation

T2 - Terms beyond leading order

AU - Anderson, Paul R.

AU - Clark, Raymond D.

AU - Fabbri, Alessandro

AU - Good, Michael R.R.

PY - 2019/9/24

Y1 - 2019/9/24

N2 - Black hole evaporation is studied using wave packets for the modes. These allow for approximate frequency and time resolution. The leading order late time behavior gives the well-known Hawking radiation that is independent of how the black hole formed. The focus here is on the higher order terms and the rate at which they damp at late times. Some of these terms carry information about how the black hole formed. A general argument is given which shows that the damping is significantly slower (power law) than what might be naively expected from a stationary phase approximation (exponential). This result is verified by numerical calculations in the cases of 2D and 4D black holes that form from the collapse of a null shell.

AB - Black hole evaporation is studied using wave packets for the modes. These allow for approximate frequency and time resolution. The leading order late time behavior gives the well-known Hawking radiation that is independent of how the black hole formed. The focus here is on the higher order terms and the rate at which they damp at late times. Some of these terms carry information about how the black hole formed. A general argument is given which shows that the damping is significantly slower (power law) than what might be naively expected from a stationary phase approximation (exponential). This result is verified by numerical calculations in the cases of 2D and 4D black holes that form from the collapse of a null shell.

UR - http://www.scopus.com/inward/record.url?scp=85072998305&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85072998305&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.100.061703

DO - 10.1103/PhysRevD.100.061703

M3 - Article

AN - SCOPUS:85072998305

VL - 100

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 6

M1 - 061703

ER -