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Quantum extension of the Kruskal spacetime

Abhay Ashtekar, Javier Olmedo, and Parampreet Singh
Phys. Rev. D 98, 126003 – Published 10 December 2018
Physics logo See Viewpoint: Black Hole Evolution Traced Out with Loop Quantum Gravity

Abstract

A new description of macroscopic Kruskal black holes that incorporates the quantum geometry corrections of loop quantum gravity is presented. It encompasses both the “interior” region that contains classical singularities and the “exterior” asymptotic region. Singularities are naturally resolved by the quantum geometry effects of loop quantum gravity. The resulting quantum extension of spacetime has the following features: (i) It admits an infinite number of trapped, anti-trapped and asymptotic regions; (ii) All curvature scalars have uniform (i.e., mass independent) upper bounds; (iii) In the large mass limit, all asymptotic regions of the extension have the same ADM mass; (iv) In the low curvature region (e.g., near horizons) quantum effects are negligible, as one would physically expect; and (v) Final results are insensitive to the fiducial structures that have to be introduced to construct the classical phase space description (as they must be). Previous effective theories shared some but not all of these features. We compare and contrast our results with those of these effective theories and also with expectations based on the AdS/CFT conjecture. We conclude with a discussion of limitations of our framework, especially for the analysis of evaporating black holes.

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  • Received 29 May 2018

DOI:https://doi.org/10.1103/PhysRevD.98.126003

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

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Black Hole Evolution Traced Out with Loop Quantum Gravity

Published 10 December 2018

Loop quantum gravity—a theory that extends general relativity by quantizing spacetime—predicts that black holes evolve into white holes.

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Authors & Affiliations

Abhay Ashtekar1, Javier Olmedo1, and Parampreet Singh2

  • 1Institute for Gravitation and the Cosmos, Penn State University, University Park, Pennsylvania 16801, USA
  • 2Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA

See Also

Quantum Transfiguration of Kruskal Black Holes

Abhay Ashtekar, Javier Olmedo, and Parampreet Singh
Phys. Rev. Lett. 121, 241301 (2018)

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Vol. 98, Iss. 12 — 15 December 2018

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