黑洞测地平行输运和隔离累积进动效应的Marck方法
Black hole geodesic parallel transport and the Marck recipe for isolating cumulative precession effects
摘要:
维格纳旋转所产生的组合的助推沿两个不同的方向从一个相对的助推的角度来看,并适用于陀螺仪自旋进动沿类时测地线在克尔时空,澄清的几何性质的马克的配方描述平行运输沿这样的世界线表示的运动常数。他的最终角速度将累积自旋进动角速度与保持自旋4矢量与陀螺4速度正交所需的时空倾斜分离开来。作为一个显式例子,计算了沿约束和非约束赤道平面测地轨道运动的试验陀螺的累积进动效应。
英文摘要:
The Wigner rotations arising from the combination of boosts along two different directions are rederived from a relative boost point of view and applied to gyroscope spin precession along timelike geodesics in a Kerr spacetime, clarifying the geometrical properties of Marck's recipe for describing parallel transport along such world lines expressed in terms of the constants of the motion. His final angular velocity isolates the cumulative spin precession angular velocity independent of the spacetime tilting required to keep the spin 4-vector orthogonal to the gyro 4-velocity. As an explicit example the cumulative precession effects are computed for a test gyroscope moving along both bound and unbound equatorial plane geodesic orbits.
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