Black-bounce solution in k-essence theories

2023/09/19 by C. F. S. Pereira, Pereira, Carlos F. S., Denis C. Rodrigues +5 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc)

paper · pdf · doi:10.48550/arxiv.2309.10963

openalex publication_date 2023/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present work, we construct black-bounce configurations in the context of k-essence theory. The solutions have a regular metric function at the origin. The area metric function is linked to the black-bounce area initially considered by Simpson-Visser, Σ²=x²+a². Subsequently, the expressions for the scalar field and scalar potential corresponding to the found solutions are determined, exhibiting phantom behavior everywhere due to violation of Null Energy Condition (NEC^ϕ). The Kretschmann scalar is regular throughout spacetime, and the geodesics are complete. The energy conditions are analyzed, verifying that the null (NEC^ϕ₁) and dominant energy conditions (DEC^ϕ₁) are violated inside and outside the event horizon. Finally, the extrinsic curvature method was applied to determine the sign of the mass on the junction surface.

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• Regular Bardeen black holes within non-minimal scalar-linear electrodynamic couplings
• Exact plane symmetric black bounce with a perfect-fluid exterior obeying a linear equation of state
• Black bounces to traversable wormholes from pure gravity in four and higher dimensions

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