坠入黑洞,如何延缓死亡,展望未来
How to delay death and look further into the future if you fall into a black hole
摘要:
在这篇文章中,我们提出了一个关于黑洞附近和内部运动的特殊性质的教学说明。我们讨论了如何一个瞬间的冲动可以修改的寿命径向落入史瓦西黑洞下降到奇点的对象。众所周知,在视界内停留时间的上限实际上需要一个无限大的反冲力。我们计算适当的时间间隔(被认为是一个下落的观察者的个人寿命),直到接触奇点,以及在勒梅特框架的时间间隔(它反映了多远的未来,一个下落的观察者可以看到外部世界),对于不同的值的踢接收到的下落的身体。我们讨论了理想的策略,以增加这两个时间间隔的发动机与有限的功率。这个例子适用于专门研究广义相对论和相关天体物理学学科的本科生的大学研讨会。
英文摘要:
In this note, we present a pedagogical illustration of peculiar properties of motion in the vicinity and inside black holes. We discuss how a momentary impulse can modify the lifetime of an object radially falling into a Schwarzschild black hole down to singularity. The well known upper limit for a proper time spent within a horizon, in fact, requires an infinitely powerful kick. We calculate the proper time interval (perceived as personal lifetime of a falling observer) till the contact with the singularity, as well as the time interval in the Lemaître frame (which reflects how far into the future of the outer world a falling observer can look), for different values of the kick received by the falling body. We discuss the ideal strategy to increase both time intervals by the engine with a finite power. This example is suitable for university seminars for undergraduate students specializing in General Relativity and related astrophysical subjects.
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