On effective models of regular black holes inspired by higher-derivative and nonlocal gravity

In this work we study static spherically symmetric solutions of effective field equations related to local and nonlocal higher-derivative gravity models, based on their associated effective delta sources. This procedure has been applied to generate modifications of the Schwarzschild geometry in seve...

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Main Authors: Tibério de Paula Netto, Breno L. Giacchini, Nicolò Burzillà, Leonardo Modesto
Format: Article
Language:English
Published: Elsevier 2024-10-01
Series:Nuclear Physics B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0550321324002402
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author Tibério de Paula Netto
Breno L. Giacchini
Nicolò Burzillà
Leonardo Modesto
author_facet Tibério de Paula Netto
Breno L. Giacchini
Nicolò Burzillà
Leonardo Modesto
author_sort Tibério de Paula Netto
collection DOAJ
description In this work we study static spherically symmetric solutions of effective field equations related to local and nonlocal higher-derivative gravity models, based on their associated effective delta sources. This procedure has been applied to generate modifications of the Schwarzschild geometry in several contexts (e.g., modified gravity, string theory, noncommutative geometry, generalized uncertainty principle scenarios), but a general analysis of the possible equations of state and their influence on the solutions was still lacking. Here, we aim to fill this gap in the literature and investigate whether these metrics might be able to reproduce features of the solutions of higher-derivative gravity models. In particular, we present an equation of state such that the solution matches the Newtonian-limit one in both regimes of large and small r. A significant part of the work is dedicated to studying the curvature regularity of the solutions and the comparison with the linearized solutions. Explicit metrics are presented for effective sources originating from local and nonlocal models. The results obtained here might be regarded as possible links between the previous research on linearized higher-derivative gravity and the solutions of the nonlinear complete field equations, which remain unknown at the moment.
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spelling doaj-art-91c93c771e24436ba1dd4b7d8b0922b02025-08-20T01:55:21ZengElsevierNuclear Physics B0550-32132024-10-01100711667410.1016/j.nuclphysb.2024.116674On effective models of regular black holes inspired by higher-derivative and nonlocal gravityTibério de Paula Netto0Breno L. Giacchini1Nicolò Burzillà2Leonardo Modesto3Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, 36036-900, MG, Brazil; Corresponding authors.Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, Prague, 180 00, Czech Republic; Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, 36036-900, MG, Brazil; Corresponding authors.INFN Sezione di Roma Tor Vergata, Roma, 00133, Italy; Department of Physics, Southern University of Science and Technology, Shenzhen, 518055, China; Corresponding authors.Dipartimento di Fisica, Università di Cagliari, Cittadella Universitaria, Monserrato, 09042, Italy; Department of Physics, Southern University of Science and Technology, Shenzhen, 518055, China; Corresponding authors.In this work we study static spherically symmetric solutions of effective field equations related to local and nonlocal higher-derivative gravity models, based on their associated effective delta sources. This procedure has been applied to generate modifications of the Schwarzschild geometry in several contexts (e.g., modified gravity, string theory, noncommutative geometry, generalized uncertainty principle scenarios), but a general analysis of the possible equations of state and their influence on the solutions was still lacking. Here, we aim to fill this gap in the literature and investigate whether these metrics might be able to reproduce features of the solutions of higher-derivative gravity models. In particular, we present an equation of state such that the solution matches the Newtonian-limit one in both regimes of large and small r. A significant part of the work is dedicated to studying the curvature regularity of the solutions and the comparison with the linearized solutions. Explicit metrics are presented for effective sources originating from local and nonlocal models. The results obtained here might be regarded as possible links between the previous research on linearized higher-derivative gravity and the solutions of the nonlinear complete field equations, which remain unknown at the moment.http://www.sciencedirect.com/science/article/pii/S0550321324002402Regular black holeHigher-derivative gravityNonlocal gravityEffective source formalismModels of quantum gravity
spellingShingle Tibério de Paula Netto
Breno L. Giacchini
Nicolò Burzillà
Leonardo Modesto
On effective models of regular black holes inspired by higher-derivative and nonlocal gravity
Nuclear Physics B
Regular black hole
Higher-derivative gravity
Nonlocal gravity
Effective source formalism
Models of quantum gravity
title On effective models of regular black holes inspired by higher-derivative and nonlocal gravity
title_full On effective models of regular black holes inspired by higher-derivative and nonlocal gravity
title_fullStr On effective models of regular black holes inspired by higher-derivative and nonlocal gravity
title_full_unstemmed On effective models of regular black holes inspired by higher-derivative and nonlocal gravity
title_short On effective models of regular black holes inspired by higher-derivative and nonlocal gravity
title_sort on effective models of regular black holes inspired by higher derivative and nonlocal gravity
topic Regular black hole
Higher-derivative gravity
Nonlocal gravity
Effective source formalism
Models of quantum gravity
url http://www.sciencedirect.com/science/article/pii/S0550321324002402
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