Uniformly accelerated reference frames in special relativity

Uniformly accelerated reference frames in special relativity
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狭义相对论中的均匀加速参考系

DOI:
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发表时间:
1987
期刊:
影响因子:
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通讯作者:
Lillian R. Lieber
Lillian R. Lieber
中科院分区:
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文献类型:
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作者:
E. A. Desloge;R. J. Philpott;Robert E. Kennedy;Lillian R. Lieber

文献摘要

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匀速加速参考系 S 被定义为相对于给定观察者 A 保持静止的一组观察者,而观察者 A 相对于瞬时同向运动的惯性系以恒定速率加速。考虑一维均匀加速参考系S。 A 和组成 S 的其他观察者的世界线是确定的。对描述 S 中的事件有用的坐标被仔细定义,并导出了不同组之间的变换方程。确定了光波的速度和频率随 S 中位置的变化。 S 中自由粒子的运动是确定的。 S 中的各种现象通常与广义相对论相关,都被考虑在内,特别是处于不同位置的静止双胞胎的不对称老化以及视界的存在。
A uniformly accelerated reference frame S is defined as a set of observers who remain at rest with respect to a given observer A who is accelerating at a constant rate with respect to the instantaneously comoving inertial frames. The one‐dimensional uniformly accelerated reference frame S is considered. The world lines of A and the other observers making up S are determined. Coordinates useful for describing events in S are carefully defined and the transformation equations between different sets of them are derived. The variation with position in S of the speed and frequency of light waves is determined. The motion of a free‐particle in S is determined. Various phenomena in S, ordinarily associated with general relativity, are considered, in particular the asymmetric aging of twins at rest at different positions and the existence of horizons.