@article{e1086ce151f043939aac86334de1f5b9,
title = "Late time approach to Hawking radiation: Terms beyond leading order",
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.",
author = "Anderson, {Paul R.} and Clark, {Raymond D.} and Alessandro Fabbri and Good, {Michael R.R.}",
note = "Funding Information: P. R. A. thanks Amos Ori, Adam Levi, Ted Jacobson, and Abhay Ashtekar for helpful conversations, comments, and questions, and Adam Levi for sharing some of his numerical data. We would also like to thank Jose Navarro-Salas for helpful comments on the manuscript. This work was supported in part by the National Science Foundation under Grants No. PHY-1505875 and No. PHY-1912584 to Wake Forest University. R. D. C. acknowledges financial support from the Wake Forest University URECA Center. A. F. acknowledges partial financial support by the Spanish Ministerio de Economa, Industria y Competitividad Grant No. FIS2017-84440-C2-1-P, the Generalitat Valenciana Project No. SEJI/2017/042 and the Severo Ochoa Excellence Center Project No. SEV-2014-0398. M. R. R. G. acknowledges funding from state-targeted program “Center of Excellence for Fundamental and Applied Physics” (BR05236454) by the Ministry of Education and Science of the Republic of Kazakhstan and support by the ORAU FY2018-SGP-1-STMM Faculty Development Competitive Research Grant No. 090118FD5350 at Nazarbayev University. The plots were made using the WFU DEAC cluster; we thank the WFU Provost{\textquoteright}s Office and Information Systems Department for their generous support. Publisher Copyright: {\textcopyright} 2019 American Physical Society.",
year = "2019",
month = sep,
day = "24",
doi = "10.1103/PhysRevD.100.061703",
language = "English",
volume = "100",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "6",
}