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首页> 外文期刊>International Journal of Modern Physics, A. Particles and Fields, Gravitation, Cosmology >Free-fall energy density and flux in the Schwarzschild black hole
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Free-fall energy density and flux in the Schwarzschild black hole

机译：Schwarzschild黑洞中的自由落体能量密度和通量

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摘要

In the four-dimensional background of Schwarzschild black hole, we investigate the energy densities and fluxes in the freely falling frames for the Boulware, Unruh, and Israel-Hartle-Hawking states. In particular, we study their behaviors near the horizon and asymptotic spatial infinity by using the trace anomaly of a conformally invariant scalar field. In the Boulware state, both the energy density and flux are negative divergent when the observer is dropped at the horizon, and asymptotically vanish. In the Unruh state, the energy density is also negative divergent at the horizon while it is positive finite asymptotically. The flux in the Unruh state is always positive and divergent at the horizon. In the Israel-Hartle-Hawking state, the energy density depends on the angular motion of free fall, and fluxes vanish at the horizon and the spatial infinity. Finally, we discuss the role of the negative energy density near the horizon in the evaporating black hole.
机译：在Schwarzschild黑洞的四维背景下，我们研究了Boulware，Unruh和Israel-Hartle-Hawking州自由下落的框架中的能量密度和通量。特别地，我们通过使用共形不变标量场的迹线异常研究它们在地平线附近的行为和渐近空间无穷大。在Boulware状态下，当观察者落在地平线上时，能量密度和通量均为负发散，并且渐近消失。在Unruh状态下，能量密度在地平线上也为负发散，而渐近为正有限。 Unruh状态下的通量在地平线上始终为正且发散。在以色列-哈特-霍金状态下，能量密度取决于自由落体的角运动，通量在地平线和空间无穷远处消失。最后，我们讨论了负能量密度在蒸发黑洞中地平线附近的作用。

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