An effective model for the quantum Schwarzschild black hole

We present an effective theory to describe the quantization of spherically symmetric vacuum motivated by loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation and a linear combination of constraints of general relativity, such that the modified constra...

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Main Authors: Asier Alonso-Bardaji, David Brizuela, Raül Vera
Format: Article
Language:English
Published: Elsevier 2022-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026932200209X
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author Asier Alonso-Bardaji
David Brizuela
Raül Vera
author_facet Asier Alonso-Bardaji
David Brizuela
Raül Vera
author_sort Asier Alonso-Bardaji
collection DOAJ
description We present an effective theory to describe the quantization of spherically symmetric vacuum motivated by loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation and a linear combination of constraints of general relativity, such that the modified constraint algebra closes. The system is then provided with a fully covariant and unambiguous geometric description, independent of the gauge choice on the phase space. The resulting spacetime corresponds to a singularity-free (black-hole/white-hole) interior and two asymptotically flat exterior regions of equal mass. The interior region contains a minimal smooth spacelike surface that replaces the Schwarzschild singularity. We find the global causal structure and the maximal analytical extension. Both Minkowski and Schwarzschild spacetimes are directly recovered as particular limits of the model.
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spelling doaj.art-435fa1db29484c29abb5b3514ba6789c2022-12-22T03:35:16ZengElsevierPhysics Letters B0370-26932022-06-01829137075An effective model for the quantum Schwarzschild black holeAsier Alonso-Bardaji0David Brizuela1Raül Vera2Corresponding author.; Fisika Saila, Universidad del País Vasco/Euskal Herriko Unibertsitatea (UPV/EHU), Barrio Sarriena s/n, Leioa, SpainFisika Saila, Universidad del País Vasco/Euskal Herriko Unibertsitatea (UPV/EHU), Barrio Sarriena s/n, Leioa, SpainFisika Saila, Universidad del País Vasco/Euskal Herriko Unibertsitatea (UPV/EHU), Barrio Sarriena s/n, Leioa, SpainWe present an effective theory to describe the quantization of spherically symmetric vacuum motivated by loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation and a linear combination of constraints of general relativity, such that the modified constraint algebra closes. The system is then provided with a fully covariant and unambiguous geometric description, independent of the gauge choice on the phase space. The resulting spacetime corresponds to a singularity-free (black-hole/white-hole) interior and two asymptotically flat exterior regions of equal mass. The interior region contains a minimal smooth spacelike surface that replaces the Schwarzschild singularity. We find the global causal structure and the maximal analytical extension. Both Minkowski and Schwarzschild spacetimes are directly recovered as particular limits of the model.http://www.sciencedirect.com/science/article/pii/S037026932200209X
spellingShingle Asier Alonso-Bardaji
David Brizuela
Raül Vera
An effective model for the quantum Schwarzschild black hole
Physics Letters B
title An effective model for the quantum Schwarzschild black hole
title_full An effective model for the quantum Schwarzschild black hole
title_fullStr An effective model for the quantum Schwarzschild black hole
title_full_unstemmed An effective model for the quantum Schwarzschild black hole
title_short An effective model for the quantum Schwarzschild black hole
title_sort effective model for the quantum schwarzschild black hole
url http://www.sciencedirect.com/science/article/pii/S037026932200209X
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