May 17, 2024 | José Tarciso S. S. Junior, Francisco S. N. Lobo, Manuel E. Rodrigues
This paper explores black bounce solutions in the context of Conformal Killing Gravity (CKG), a recently proposed gravitational theory that satisfies several theoretical criteria beyond General Relativity (GR). The authors couple CKG to nonlinear electrodynamics (NLED) and scalar fields to extend the class of black hole solutions. They derive novel NLED Lagrangian densities and scalar potentials, and analyze the regularity conditions of the solutions through the Kretschmann scalar.
The study focuses on two types of black bounce geometries: the Simpson-Visser type and the Bardeen type. For the Simpson-Visser solution, the authors consider a metric with a magnetic charge and symmetry \(a(r) = -b(r)\). They solve the field equations to determine the NLED Lagrangian and scalar potential, and analyze the formation of event horizons and bounces. For the Bardeen-type solution, they use a different metric function and again solve the field equations to find the necessary conditions for black bounces.
The authors find that the presence of event horizons and bounces depends on the parameters \(M\), \(q\), \(\Lambda\), and \(\lambda\). For the Simpson-Visser solution, the formation of horizons is influenced by the sign of \(\Lambda\) and the critical mass \(M_c\). For the Bardeen-type solution, the number and nature of horizons depend on the critical mass and the charge \(q\).
The Kretschmann scalar is used to check the regularity of the solutions, and it is found that the spacetime is regular in the limit \(r \to 0\) for both types of solutions. However, for the Bardeen-type solution, the spacetime is only regular in the limit \(r \to \infty\) when \(\lambda = 0\).
The paper concludes by summarizing the findings and discussing the implications of the black bounce solutions in CKG, highlighting the novel features and extensions compared to GR.This paper explores black bounce solutions in the context of Conformal Killing Gravity (CKG), a recently proposed gravitational theory that satisfies several theoretical criteria beyond General Relativity (GR). The authors couple CKG to nonlinear electrodynamics (NLED) and scalar fields to extend the class of black hole solutions. They derive novel NLED Lagrangian densities and scalar potentials, and analyze the regularity conditions of the solutions through the Kretschmann scalar.
The study focuses on two types of black bounce geometries: the Simpson-Visser type and the Bardeen type. For the Simpson-Visser solution, the authors consider a metric with a magnetic charge and symmetry \(a(r) = -b(r)\). They solve the field equations to determine the NLED Lagrangian and scalar potential, and analyze the formation of event horizons and bounces. For the Bardeen-type solution, they use a different metric function and again solve the field equations to find the necessary conditions for black bounces.
The authors find that the presence of event horizons and bounces depends on the parameters \(M\), \(q\), \(\Lambda\), and \(\lambda\). For the Simpson-Visser solution, the formation of horizons is influenced by the sign of \(\Lambda\) and the critical mass \(M_c\). For the Bardeen-type solution, the number and nature of horizons depend on the critical mass and the charge \(q\).
The Kretschmann scalar is used to check the regularity of the solutions, and it is found that the spacetime is regular in the limit \(r \to 0\) for both types of solutions. However, for the Bardeen-type solution, the spacetime is only regular in the limit \(r \to \infty\) when \(\lambda = 0\).
The paper concludes by summarizing the findings and discussing the implications of the black bounce solutions in CKG, highlighting the novel features and extensions compared to GR.