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DOE OSTI · 1656829

Black hole one-loop determinants in the large dimension limit

Keeler, Cynthia·Priya, Alankrita
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Abstract

We calculate the contributions to the one-loop determinant for transverse traceless gravitons in an n + 3-dimensional Schwarzschild black hole background in the large dimension limit, due to the SO(n + 2)-type tensor and vector fluctuations, using the quasinormal mode method. Accordingly we find the quasinormal modes for these fluctuations as a function of a fiducial mass parameter Δ. We show that the behavior of the one-loop determinant at large Δ accords with a heat kernel curvature expansion in one lower dimension, lending further evidence towards a membrane picture for black holes in the large dimension limit.

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79 ASTRONOMY AND ASTROPHYSICSBlack HolesClassical Theories of GravityField Theories in Higher Dimensions

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BibTeXRIS

Keeler, Cynthia, Priya, Alankrita. 2020-06-16. Black hole one-loop determinants in the large dimension limit. https://doi.org/10.1007/jhep06(2020)099

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