On black bounce space-times in non-linear electrodynamics

On black bounce space-times in non-linear electrodynamics

26 July 2024 | G. Alencar, Kirill A. Bronnikov, Manuel E. Rodrigues, Diego Sáez-Chillón Gómez, Marcos V. de S. Silva
This paper investigates black bounce (BB) spacetimes in the context of non-linear electrodynamics (NED) with a scalar field. BB spacetimes are solutions that avoid singularities by introducing a bounce in the space-time geometry, effectively replacing a singularity with a regular region. The study focuses on reconstructing such solutions using NED and a scalar field, which can be either canonical or phantom. The paper analyzes both spherically symmetric and cylindrically symmetric BB solutions, as well as 2+1 dimensional cases, showing that these solutions can be consistently reconstructed with electric sources of NED. The paper demonstrates that BB solutions can be obtained by considering a scalar field and a NED Lagrangian, which allows for the removal of singularities in black hole solutions. The reconstruction method involves deriving the NED Lagrangian and scalar field potential from the given metric, and it is shown that the scalar field can be either canonical or phantom depending on the sign of its kinetic term. The paper also highlights that the presence of a scalar field and NED together is necessary to satisfy the asymmetry in the components of the Einstein tensor. The study includes specific examples of BB solutions, such as the Simpson-Visser and Bardeen BB solutions, and shows that the NED Lagrangian can be expressed in terms of the scalar field and the invariant F. The paper also discusses the energy conditions, showing that regular black holes or wormholes described by these spacetimes violate all classical energy conditions. The paper concludes that BB spacetimes provide a way to regularize black hole solutions and avoid singularities, and that the inclusion of NED and a scalar field is essential for this regularization. The results show that BB solutions can be consistently reconstructed with electric sources of NED, and that the NED Lagrangian can be expressed in terms of the scalar field and the invariant F. The study also highlights the importance of the scalar field in the reconstruction process and the role of the scalar field's nature (canonical or phantom) in determining the form of the NED Lagrangian.This paper investigates black bounce (BB) spacetimes in the context of non-linear electrodynamics (NED) with a scalar field. BB spacetimes are solutions that avoid singularities by introducing a bounce in the space-time geometry, effectively replacing a singularity with a regular region. The study focuses on reconstructing such solutions using NED and a scalar field, which can be either canonical or phantom. The paper analyzes both spherically symmetric and cylindrically symmetric BB solutions, as well as 2+1 dimensional cases, showing that these solutions can be consistently reconstructed with electric sources of NED. The paper demonstrates that BB solutions can be obtained by considering a scalar field and a NED Lagrangian, which allows for the removal of singularities in black hole solutions. The reconstruction method involves deriving the NED Lagrangian and scalar field potential from the given metric, and it is shown that the scalar field can be either canonical or phantom depending on the sign of its kinetic term. The paper also highlights that the presence of a scalar field and NED together is necessary to satisfy the asymmetry in the components of the Einstein tensor. The study includes specific examples of BB solutions, such as the Simpson-Visser and Bardeen BB solutions, and shows that the NED Lagrangian can be expressed in terms of the scalar field and the invariant F. The paper also discusses the energy conditions, showing that regular black holes or wormholes described by these spacetimes violate all classical energy conditions. The paper concludes that BB spacetimes provide a way to regularize black hole solutions and avoid singularities, and that the inclusion of NED and a scalar field is essential for this regularization. The results show that BB solutions can be consistently reconstructed with electric sources of NED, and that the NED Lagrangian can be expressed in terms of the scalar field and the invariant F. The study also highlights the importance of the scalar field in the reconstruction process and the role of the scalar field's nature (canonical or phantom) in determining the form of the NED Lagrangian.
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