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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Format: | Article |
Language: | English |
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SpringerOpen
2017-04-01
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Series: | European Physical Journal C: Particles and Fields |
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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. |
first_indexed | 2024-12-20T20:23:34Z |
format | Article |
id | doaj.art-44938a8910a04b649dbee4f1087482d3 |
institution | Directory Open Access Journal |
issn | 1434-6044 1434-6052 |
language | English |
last_indexed | 2024-12-20T20:23:34Z |
publishDate | 2017-04-01 |
publisher | SpringerOpen |
record_format | Article |
series | European Physical Journal C: Particles and Fields |
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 |