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Hawking radiation power equations for black holes

机译:黑洞的霍金辐射功率方程

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We derive the Hawking radiation power equations for black holes in asymptotically flat, asymptotically Anti-de Sitter (AdS) and asymptotically de Sitter (dS) black holes. This is done by using the greybody factor for these black holes. We observe that the radiation power equation for asymptotically flat black holes, corresponding to greybody factor at low frequency, depends on both the Hawking temperature and the horizon radius. However, for the greybody factors at asymptotic frequency, it only depends on the Hawking temperature. We also obtain the power equation for asymptotically AdS black holes both below and above the critical frequency. The radiation power equation for at asymptotic frequency is same for both Schwarzschild AdS and Reissner–Nordstr?m AdS solutions and only depends on the Hawking temperature. We also discuss the power equation for asymptotically dS black holes at low frequency, for both even or odd dimensions.
机译:我们推导了渐近平坦,渐近反德西特(AdS)和渐近反德西特(dS)黑洞中黑洞的霍金辐射功率方程。这是通过将灰体因子用于这些黑洞来完成的。我们观察到,渐近平坦的黑洞的辐射功率方程与低频处的灰体因子相对应,它取决于霍金温度和视界半径。但是,对于渐近频率的灰体因子,它仅取决于霍金温度。我们还获得了低于和高于临界频率的渐近AdS黑洞的功率方程。 Schwarzschild AdS和Reissner–Nordstr?m AdS解决方案在渐近频率处的辐射功率方程都是相同的,并且仅取决于霍金温度。我们还讨论了偶数或奇数尺寸的低频渐近dS黑洞的功率方程。

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