https://doi.org/10.1140/epjc/s10052-023-12022-8
Regular Article - Theoretical Physics
Generalized models for black-bounce solutions in f(R) gravity
1
Universidade Federal do Espírito Santo, CEP 29075-910, Vitória, ES, Brazil
2
National Research Nuclear University MEPhI, Kashirskoe sh. 31, 115409, Moscow, Russia
3
Faculdade de Física, Universidade Federal do Pará, Campus Universitário de Tucuruí, CEP 68464-000, Tucuruí, Pará, Brazil
4
Faculdade de Ciências Exatas e Tecnologia, Universidade Federal do Pará, Campus Universitário de Abaetetuba, CEP 68440-000, Abaetetuba, Pará, Brazil
5
Faculdade de Física, PPGF, Universidade Federal do Pará, 66075-110, Belém, Pará, Brazil
Received:
21
April
2023
Accepted:
9
September
2023
Published online:
1
October
2023
In this article, the implementation of black-bounce solutions in f(R) theories is investigated. Black-bounce solutions are regular configurations of the static spherically symmetric space-time, containing both black holes and wormholes structures. In General Relativity (GR), black-bounce solution implies violation of the energy conditions. We investigate the same issue in f(R) theories using two strategies: first, supposing a given form for the f(R) function and then determining the matter behavior; second, imposing a condition on the matter density and obtaining the resulting f(R) function. In all cases, a given structure for the metric functions is supposed. Violation of the energy conditions still occur but they are less severe than in the corresponding GR cases. We propose a zero-density model that has horizons, which differs from the GR case. We also propose a model with positive energy density and show that 
, which was not the case in GR.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
