Vacuum Polarization of STU Black Holes and their Subtracted Geometry Limit

Abstract

We study the vacuum polarization of a massless minimally coupled scalar field at the horizon of four-charge STU black holes. We compare the results for the standard asymptotically flat black holes and for the black holes obtained in the "subtracted limit", both in the general static case and at the horizon pole for the general rotating case. The original and the subtracted results are identical only in the BPS limit, and have opposite sign in the extremal Kerr limit. We also compute the vacuum polarization on the static solutions that interpolate between both the original and the subtracted case through a solution-generating transformation and show that the vacuum polarization stays positive throughout the interpolating solution. In the Appendix we provide a closed-form solution for the Green's function on general (static or rotating) subtracted black hole geometries.

arXiv comment22 pages, 2 figures

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Cited by in corpus (8)

• AdS${}_2$ Holographic Dictionary
• STU Black Holes and SgrA*
• An Analysis of the Wave Equation for the $U(1{)}^2$ Gauged Supergravity Black Hole
• Vacuum polarization in asymptotically Lifshitz black holes
• An analytical formula for the vacuum polarization of rotating black holes
• Black Hole Quantum Vacuum Polarization in Higher Dimensions
• The Spectrum of Static Subtracted Geometries
• Vacuum polarization throughout general subtracted black hole spacetimes