• Open Access

Hawking flux from a black hole with nonlinear supertranslation hair

Feng-Li Lin and Shingo Takeuchi
Phys. Rev. D 102, 044004 – Published 4 August 2020

Abstract

We study the Hawking flux from a black hole with soft hair by the anomaly cancellation method proposed by Robinson and Wilczek. Unlike the earlier studies considering the black hole with linear supertranslation hair, our study takes into account the supertranslation hair to the quadratic order, which then yields the angular dependent horizon. As a result, highly nontrivial kinetic-mixings appear among the spherical Kaluza-Klein modes of the (1+1)d near-horizon reduced theory, which obscures the traditional derivation of the Hawking flux. However, after a series of field redefinitions, we can disentangle the mode-mixings into canonical normal modes, but the reduced metrics for these normal modes are mode-dependent. Despite of this, the resultant Hawking flux turns out to be mode-independent and remains the same as the Schwarzschild’s one. Thus, one cannot tell the black holes with nonlinear supertranslation hairs from the Schwarzschild’s one by examining the Hawking flux, so that the nonlinear soft hairs can be thought as the microstates.

  • Received 26 April 2020
  • Accepted 9 July 2020

DOI:https://doi.org/10.1103/PhysRevD.102.044004

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsQuantum Information, Science & Technology

Authors & Affiliations

Feng-Li Lin1,* and Shingo Takeuchi2,†

  • 1Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan
  • 2Phenikaa Institute for Advanced Study and Faculty of Basic Science, Phenikaa University, Hanoi 100000, Vietnam

  • *linfl@gapps.ntnu.edu.tw
  • shingo.takeuchi@phenikaa-uni.edu.vn

Article Text

Click to Expand

References

Click to Expand
Issue

Vol. 102, Iss. 4 — 15 August 2020

Reuse & Permissions
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

×

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×