Quantum corrections to Schwarzschild black hole

Abstract Using effective field theory techniques, we compute quantum corrections to spherically symmetric solutions of Einstein’s gravity and focus in particular on the Schwarzschild black hole. Quantum modifications are covariantly encoded in a non-local effective action. We work to quadratic order...

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Main Authors: Xavier Calmet, Basem Kamal El-Menoufi
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:European Physical Journal C: Particles and Fields
Subjects:
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-4802-0
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author Xavier Calmet
Basem Kamal El-Menoufi
author_facet Xavier Calmet
Basem Kamal El-Menoufi
author_sort Xavier Calmet
collection DOAJ
description Abstract Using effective field theory techniques, we compute quantum corrections to spherically symmetric solutions of Einstein’s gravity and focus in particular on the Schwarzschild black hole. Quantum modifications are covariantly encoded in a non-local effective action. We work to quadratic order in curvatures simultaneously taking local and non-local corrections into account. Looking for solutions perturbatively close to that of classical general relativity, we find that an eternal Schwarzschild black hole remains a solution and receives no quantum corrections up to this order in the curvature expansion. In contrast, the field of a massive star receives corrections which are fully determined by the effective field theory.
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spelling doaj.art-44938a8910a04b649dbee4f1087482d32022-12-21T19:27:30ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-04-017741710.1140/epjc/s10052-017-4802-0Quantum corrections to Schwarzschild black holeXavier Calmet0Basem Kamal El-Menoufi1Department of Physics and Astronomy, University of SussexDepartment of Physics and Astronomy, University of SussexAbstract Using effective field theory techniques, we compute quantum corrections to spherically symmetric solutions of Einstein’s gravity and focus in particular on the Schwarzschild black hole. Quantum modifications are covariantly encoded in a non-local effective action. We work to quadratic order in curvatures simultaneously taking local and non-local corrections into account. Looking for solutions perturbatively close to that of classical general relativity, we find that an eternal Schwarzschild black hole remains a solution and receives no quantum corrections up to this order in the curvature expansion. In contrast, the field of a massive star receives corrections which are fully determined by the effective field theory.http://link.springer.com/article/10.1140/epjc/s10052-017-4802-0Black HoleQuantum CorrectionEffective Field TheoryQuadratic OrderClassical General Relativity
spellingShingle Xavier Calmet
Basem Kamal El-Menoufi
Quantum corrections to Schwarzschild black hole
European Physical Journal C: Particles and Fields
Black Hole
Quantum Correction
Effective Field Theory
Quadratic Order
Classical General Relativity
title Quantum corrections to Schwarzschild black hole
title_full Quantum corrections to Schwarzschild black hole
title_fullStr Quantum corrections to Schwarzschild black hole
title_full_unstemmed Quantum corrections to Schwarzschild black hole
title_short Quantum corrections to Schwarzschild black hole
title_sort quantum corrections to schwarzschild black hole
topic Black Hole
Quantum Correction
Effective Field Theory
Quadratic Order
Classical General Relativity
url http://link.springer.com/article/10.1140/epjc/s10052-017-4802-0
work_keys_str_mv AT xaviercalmet quantumcorrectionstoschwarzschildblackhole
AT basemkamalelmenoufi quantumcorrectionstoschwarzschildblackhole