Extreme black hole anabasis

Shahar Hadar; Alexandru Lupsasca; Achilleas P. Porfyriadis

doi:10.1007/JHEP03(2021)223

Extreme black hole anabasis

Shahar Hadar, Alexandru Lupsasca, Achilleas P. Porfyriadis

Research output: Contribution to journal › Article › peer-review

Abstract

We study the SL(2) transformation properties of spherically symmetric perturbations of the Bertotti-Robinson universe and identify an invariant μ that characterizes the backreaction of these linear solutions. The only backreaction allowed by Birkhoff’s theorem is one that destroys the AdS₂× S² boundary and builds the exterior of an asymptotically flat Reissner-Nordström black hole with Q=M1−μ/4. We call such backreaction with boundary condition change an anabasis. We show that the addition of linear anabasis perturbations to Bertotti-Robinson may be thought of as a boundary condition that defines a connected AdS₂×S². The connected AdS₂ is a nearly-AdS₂ with its SL(2) broken appropriately for it to maintain connection to the asymptotically flat region of Reissner-Nordström. We perform a backreaction calculation with matter in the connected AdS₂× S² and show that it correctly captures the dynamics of the asymptotically flat black hole.

Original language	English
Article number	223
Journal	Journal of High Energy Physics
Volume	2021
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2021)223
State	Published - Mar 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021, The Author(s).

Keywords

Black Holes
Space-Time Symmetries

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP03(2021)223

Cite this

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title = "Extreme black hole anabasis",

abstract = "We study the SL(2) transformation properties of spherically symmetric perturbations of the Bertotti-Robinson universe and identify an invariant μ that characterizes the backreaction of these linear solutions. The only backreaction allowed by Birkhoff{\textquoteright}s theorem is one that destroys the AdS2× S2 boundary and builds the exterior of an asymptotically flat Reissner-Nordstr{\"o}m black hole with Q=M1−μ/4. We call such backreaction with boundary condition change an anabasis. We show that the addition of linear anabasis perturbations to Bertotti-Robinson may be thought of as a boundary condition that defines a connected AdS2×S2. The connected AdS2 is a nearly-AdS2 with its SL(2) broken appropriately for it to maintain connection to the asymptotically flat region of Reissner-Nordstr{\"o}m. We perform a backreaction calculation with matter in the connected AdS2× S2 and show that it correctly captures the dynamics of the asymptotically flat black hole.",

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AU - Porfyriadis, Achilleas P.

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AB - We study the SL(2) transformation properties of spherically symmetric perturbations of the Bertotti-Robinson universe and identify an invariant μ that characterizes the backreaction of these linear solutions. The only backreaction allowed by Birkhoff’s theorem is one that destroys the AdS2× S2 boundary and builds the exterior of an asymptotically flat Reissner-Nordström black hole with Q=M1−μ/4. We call such backreaction with boundary condition change an anabasis. We show that the addition of linear anabasis perturbations to Bertotti-Robinson may be thought of as a boundary condition that defines a connected AdS2×S2. The connected AdS2 is a nearly-AdS2 with its SL(2) broken appropriately for it to maintain connection to the asymptotically flat region of Reissner-Nordström. We perform a backreaction calculation with matter in the connected AdS2× S2 and show that it correctly captures the dynamics of the asymptotically flat black hole.

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KW - Space-Time Symmetries

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Extreme black hole anabasis

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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