We obtain a static spherically symmetric wormhole solution due to the vacuum expectation value (vev) of a Kalb–Ramond field. The Kalb–Ramond (vev) is a background tensor field which produces a local Lorentz symmetry breaking (LSB) of spacetime. Considering a non-minimal coupling between the Kalb–Ramond (vev) and the Ricci tensor, we found an exact traversable wormhole solution sustained by matter sources with a negative isotropic pressure. The matter source satisfies the energy conditions at the throat for particular choices of the LSB parameter. Moreover, we employ the Gauss–Bonnet method to analyze the deflection angle of light in the weak limit approximation.

由于 Kalb-Ramond 场的真空期望值 (vev)，我们获得了静态球对称虫洞解。Kalb-Ramond (vev) 是一个背景张量场，它产生时空的局部洛伦兹对称破缺 (LSB)。考虑到 Kalb-Ramond (vev) 和 Ricci 张量之间的非最小耦合，我们发现了由具有负各向同性压力的物质源维持的精确可穿越虫洞解。对于 LSB 参数的特定选择，物质源满足喉部的能量条件。此外，我们采用 Gauss-Bonnet 方法来分析弱极限近似中光的偏转角。