Effective action and black hole solutions in asymptotically safe quantum gravity

Fuente: arXiv
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Main Authors: Pawlowski, Jan M., Tränkle, Jan
Format: Preprint
Published: 2023
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author Pawlowski, Jan M.
Tränkle, Jan
author_facet Pawlowski, Jan M.
Tränkle, Jan
contents We derive the quantum effective action and the respective quantum equations of motion from multi-graviton correlation functions in asymptotically safe quantum gravity. The fully momentum-dependent couplings of three- and four-graviton scatterings are computed within the functional renormalisation group approach and the effective action is reconstructed from these vertices. The resulting quantum equations of motion are solved numerically for quantum black hole geometries. Importantly, the black hole solutions show signatures of quantum gravity outside the classical horizon, which manifest in the behaviour of the temporal and radial components of the metric. Three different types of solutions with distinct causal structures are identified and the phase structure of the solution space is investigated.
format Preprint
id arxiv_https___arxiv_org_abs_2309_17043
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Effective action and black hole solutions in asymptotically safe quantum gravity
Pawlowski, Jan M.
Tränkle, Jan
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We derive the quantum effective action and the respective quantum equations of motion from multi-graviton correlation functions in asymptotically safe quantum gravity. The fully momentum-dependent couplings of three- and four-graviton scatterings are computed within the functional renormalisation group approach and the effective action is reconstructed from these vertices. The resulting quantum equations of motion are solved numerically for quantum black hole geometries. Importantly, the black hole solutions show signatures of quantum gravity outside the classical horizon, which manifest in the behaviour of the temporal and radial components of the metric. Three different types of solutions with distinct causal structures are identified and the phase structure of the solution space is investigated.
title Effective action and black hole solutions in asymptotically safe quantum gravity
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2309.17043