刚性杆和弦的相对论弹性
Relativistic elasticity of rigid rods and strings
摘要：
我们证明了在二维时空中，刚性一维弹性体（即声速等于光速的杆或弦）的运动方程就是波动方程。然后我们用几个简单的例子来解这个方程：一个刚性杆与一个不可移动的壁碰撞，一个刚性杆被一个恒定的力推动，一个刚性弦的端点同时处于运动状态（可以看作是贝尔宇宙飞船悖论的一个特例），以及一个径向刚性弦，它部分穿过了史瓦西黑洞的事件视界，但仍然被外部抓住。
英文摘要：
We show that the equation of motion for a rigid one-dimensional elastic body (i.e. a rod or string whose speed of sound is equal to the speed of light) in a two-dimensional spacetime is simply the wave equation. We then solve this equation in a few simple examples: a rigid rod colliding with an unmovable wall, a rigid rod being pushed by a constant force, a rigid string whose endpoints are simultaneously set in motion (seen as a special case of Bell's spaceships paradox), and a radial rigid string that has partially crossed the event horizon of a Schwarzschild black hole while still being held from the outside.
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