Vacuum polarization of STU black holes and their subtracted geometry limit
TLDR
In this paper, the authors studied the vacuum polarization of a massless minimally coupled scalar field at the horizon of four-charge STU black holes and compared the results for the standard asymptotically flat black hole and for the black holes obtained in the subtracted 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.read more
Citations
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AdS 2 holographic dictionary
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AdS$_2$ Holographic Dictionary
TL;DR: In this paper, the authors constructed a holographic dictionary for both running and constant dilaton solutions of the 2D Einstein-Maxwell-Dilaton theory obtained by a circle reduction from 3D gravity with negative cosmological constant.
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STU Black Holes and SgrA
TL;DR: The equations of null geodesics in the STU family of rotating black hole solutions of supergravity theory, which may be considered as deformations of the vacuum Kerr metric, are completely integrable and can be used as a foil to test, for example, with what precision the gravitational field external to the black hole at the centre of our galaxy is given by the Kerr metric as discussed by the authors.
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Analytical result for the vacuum polarization of subtracted rotating black holes
TL;DR: In this paper, the authors gave an analytical formula for the vacuum polarization of a massless minimally coupled scalar field at the horizon of a rotating black hole with subtracted geometry.
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Vacuum polarization in asymptotically Lifshitz black holes
TL;DR: In this article, the authors developed a way to compute the coincidence limit of the Green's function for massive, non-minimally coupled scalar fields, adapting to the present situation the analysis developed for the case of asymptotically anti de Sitter black holes.
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