Black-bounce solution in k-essence theories

PHYSICAL REVIEW D(2024)

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摘要
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, sigma 2 1/4 x2 thorn 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 the null energy condition (NEC phi). The Kretschmann scalar is regular in spacetime, and the geodesics are complete. The energy conditions are analyzed, verifying that the null (NEC phi 1) and dominant energy conditions (DEC phi 1) are violated inside and outside the event horizon. Finally, the extrinsic curvature method is applied to determine the sign of the mass on the junction surface.
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