The article considers tidal forces in the vicinity of the Kottler black hole. We find a solution of the geodesic deviation equation for radially falling bodies, which is determined by elliptic integrals. And also the asymptotic behavior of all spatial geodesic deviation vector components were found. We demonstrate that the radial component of the tidal force changes sign outside the single event horizon for any negative values of the cosmological constant, in contrast to the Schwarzschild black hole, where all the components of the tidal force are sign-constant. We also find the similarity between the Kottler black hole and the Reissner–Nordström black hole, because we indicate the value of the cosmological constant, which ensures the existence of two horizons of the black hole, between which the angular components of the tidal force change sign. It was possible to detect non-analytical behavior of geodesic deviation vector components in anti-de Sitter spacetime and to describe it locally.

文章考虑了科特勒黑洞附近的潮汐力。我们找到了径向落体的测地线偏差方程的解，该方程由椭圆积分确定。并且还发现了所有空间测地线偏差矢量分量的渐近行为。我们证明，对于宇宙常数的任何负值，潮汐力的径向分量会在单个事件视界之外改变符号，这与 Schwarzschild 黑洞形成对比，其中潮汐力的所有分量都是符号常数。我们还发现了 Kottler 黑洞和 Reissner-Nordström 黑洞之间的相似性，因为我们指出了宇宙常数的值，这确保了黑洞存在两个视界，潮汐力的角分量在这两个视界之间发生变化符号。