论文标题
Kottler空位中的潮汐力
Tidal Forces in Kottler Spacetimes
论文作者
论文摘要
本文考虑了科特勒黑洞附近的潮汐力。我们找到了用于径向落下物体的大地偏差方程的解，该方程是由椭圆积分确定的。还发现了所有空间大地偏差矢量成分的渐近行为。我们证明，与施瓦茨柴尔德黑洞相比，潮汐力的径向成分在单个事件范围之外发生了变化的符号，在宇宙常数的任何负值中，潮汐力的所有组成部分都是标志恒定的。我们还发现Kottler Black Hole和Reissner-Nordstrom Black Hole之间的相似性，因为我们指示了宇宙常数的值，这确保了黑洞的两个视野，在潮汐力变化符号之间的角度之间。可以检测抗DE保姆时空中地球偏差矢量成分的非分析行为，并在局部描述它。
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-Nordstrom 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.
