论文标题
关于Alcubierre时空的总能量节约
On the total energy conservation of the Alcubierre spacetime
论文作者
论文摘要
在本文中,我们考虑了Alcubierre时空,这样的时空描述了一个以任意全局速度传播的``泡沫''。此设置允许以比光更大的速度移动。该指标有一些已知的问题,例如,当气泡加速时,来源的负能量和侵犯了来源节能的侵犯。我们在远程相对论(TEGR)的触点等效范围内解决了这两个问题。在考虑重力场本身的能量时,可以解决能量保护问题。即使在加速运动中,时空的总能量,重力加源也可以保留。我们明确地显示了能量和重力通量对参考框架的依赖性,一个适用于静态观察者,另一个适合于同一坐标系中的自由落体。在解决源能量负性问题时,我们发现静态观察者测量了源的正能量,而欧拉观察者则测量负数。因此,我们推测负能量可能是一个参考问题。
In this article, we consider the Alcubierre spacetime, such a spacetime describes a ``bubble'' that propagates with arbitrary global velocity. This setting allows movement at a speed greater than that of light. There are some known problems with this metric, e.g., the source's negative energy and the violation of the source's energy conservation when the bubble accelerates. We address these two issues within the realm of the Teleparallel Equivalent of General Relativity (TEGR). The energy conservation problem can be solved when considering the energy of the gravitational field itself. The total energy of the spacetime, gravitational plus source, is conserved even in accelerated motion. We explicitly show the dependence of energy and gravitational energy flux on the frame of reference, one adapted to a static observer and the other to a free-falling one in the same coordinate system. Addressing the problem of energy negativity of the source, we find that a static observer measures positive energy of the source, while an Eulerian observer measures a negative one. Thus, we surmise that negative energy may be a reference problem.