In this work, we consider the effects of repulsive gravity in an invariant way for four static 3D regular black holes, using the eigenvalues of the Riemann curvature tensor, the Ricci scalar, and the strong energy conditions. The eigenvalues of the solutions are non-vanishing asymptotically (in asymptotically AdS) and increase as the source of gravity is approached, providing a radius at which the passage from attractive to repulsive gravity might occur. We compute the onsets and the regions of repulsive gravity and conclude that the regular behavior of the solutions at the origin of coordinates can be interpreted as due to the presence of repulsive gravity, which also turns out to be related with the violation of the strong energy condition. We showed that in all of the solutions for the allowed region of parameters, gravity changes its sign, but the repulsive regions only for the non-logarithmic solution are affected by the mass that generates the regular black hole. The repulsive regions for the logarithmic solutions are dependent on electric charge and the AdS\(_{3}\) length. The implications and physical consequences of these results are discussed in detail.

在这项工作中，我们使用黎曼曲率张量、里奇标量和强能量条件的特征值，以不变的方式考虑排斥引力对四个静态 3D 规则黑洞的影响。解的特征值渐近不为零（在渐近 AdS 中），并且随着接近重力源而增加，提供了可能发生从吸引到排斥重力的转变的半径。我们计算了排斥引力的起始点和区域，并得出结论，坐标原点处解的规则行为可以解释为由于排斥引力的存在，这也与强能量的破坏有关健康）状况。我们表明，在允许参数区域的所有解中，重力都会改变其符号，但仅非对数解的排斥区域受到生成规则黑洞的质量的影响。对数解的排斥区域取决于电荷和 AdS \(_{3}\)长度。详细讨论了这些结果的含义和物理后果。