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Main Authors: Silva, Marcos V. de S., Crispim, T. M., Alencar, G., Landim, R. R., Rodrigues, Manuel E.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2502.19186
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author Silva, Marcos V. de S.
Crispim, T. M.
Alencar, G.
Landim, R. R.
Rodrigues, Manuel E.
author_facet Silva, Marcos V. de S.
Crispim, T. M.
Alencar, G.
Landim, R. R.
Rodrigues, Manuel E.
contents In this work, following our recent findings in [1], we extend our analysis to explore the generalization of spherically symmetric and static black-bounce solutions, known from General Relativity, within the framework of the $f(R)$ theory in the metric formalism. We develop a general approach to determine the sources for any model where $f(R) = R + H(R)$, provided that the corresponding source for the bounce metric in General Relativity is known. As a result, we demonstrate that black-bounce solutions can emerge from this theory when considering the coupling of $f(R)$ gravity with nonlinear electrodynamics and a partially phantom scalar field. We also analyzed the energy conditions of these solutions and found that, unlike in General Relativity, it is possible to satisfy all energy conditions in certain regions of space-time.
format Preprint
id arxiv_https___arxiv_org_abs_2502_19186
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generalized black-bounces solutions in f(R) gravity and their field sources
Silva, Marcos V. de S.
Crispim, T. M.
Alencar, G.
Landim, R. R.
Rodrigues, Manuel E.
General Relativity and Quantum Cosmology
In this work, following our recent findings in [1], we extend our analysis to explore the generalization of spherically symmetric and static black-bounce solutions, known from General Relativity, within the framework of the $f(R)$ theory in the metric formalism. We develop a general approach to determine the sources for any model where $f(R) = R + H(R)$, provided that the corresponding source for the bounce metric in General Relativity is known. As a result, we demonstrate that black-bounce solutions can emerge from this theory when considering the coupling of $f(R)$ gravity with nonlinear electrodynamics and a partially phantom scalar field. We also analyzed the energy conditions of these solutions and found that, unlike in General Relativity, it is possible to satisfy all energy conditions in certain regions of space-time.
title Generalized black-bounces solutions in f(R) gravity and their field sources
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2502.19186