关于局部加速系中引力生热的一个新建议
A new proposal regarding the heat generated by gravity in locally accelerating frames
摘要：
对于在时空点周围的局部斑块中靠近视界加速的林德勒观测者来说，穿过视界的物质能量增加了熵和热能。雅各布森已经证明，爱因斯坦方程可以从考虑这个热力学过程中推导出来。然而，只有当加速度$a$远大于时空曲率所设定的尺度时，这才有效。本文探讨了在$a$上没有下界的情况下是否可以推广。我们表明，这是可能的，如果一个假设，在一个局部加速帧，通过零超曲面的物质能量可能会导致增加的热能和熵。这样的概括扩展了重力的热力学推导，包括任何非自由落体的观察者。本文还提出了一种确定这种局部加速观测器所探测到的温度的新方法。通过只考虑一个场的充分局部化的波模的量子化，它表明观察者发现自己处于热环境中。
英文摘要：
For Rindler observers accelerating close to the horizon in local patches around a spacetime point, the matter-energy passing through the horizon increases the entropy and heat energy. Jacobson has showed that the Einstein equation can be derived from the consideration of this thermodynamic process. This, however, works only if the acceleration $a$ is much larger than the scale set by the curvature of the spacetime. It is explored here whether an extension is possible to the case with no lower bound on $a$. We show that this is possible if one assumes that in a locally accelerating frame, the matter-energy passing through null hypersurfaces could result in an increase in the heat energy and the entropy. Such a generalisation extends the thermodynamic derivation of gravity to include any non-freely falling observer. A new method of determining the temperature detected by such locally accelerating observers is also presented. By considering only the quantisation of sufficiently localised wave modes of a field, it is shown that the observer finds himself in a thermal environment.
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