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Revisiting the ADT mass of the five-dimensional rotating black holes with squashed horizons

机译:重新审视地平线被挤压的五维旋转黑洞的ADT质量

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摘要

We evaluate the Abbott–Deser–Tekin (ADT) mass of the five-dimensional rotating black holes with squashed horizons on two different on-shell reference backgrounds, which are the flat background and the boundary matched Kaluza–Klein (KK) monopole. The mass on the former, identified with the one on the background of the asymptotic geometry, differs from the mass on the latter by that of the KK monopole. However, each mass satisfies the first law of black hole thermodynamics. To test the results in five dimensions, we compute the mass in the context of the dimensionally reduced theory. Finally, in contrast with the original ADT formulation, its off-shell generalisation is applied to calculate the mass as well.
机译:我们评估了在两个不同的带壳参考背景(即平坦背景和边界匹配的Kaluza-Klein(KK)单极)上具有挤压的水平线的五维旋转黑洞的Abbott-Deser-Tekin(ADT)质量。前者的质量在渐近几何的背景上与后者相同,后者与KK单极的质量不同。但是,每个质量都满足黑洞热力学的第一定律。为了在五个维度上测试结果,我们在降维理论的背景下计算质量。最后,与原始的ADT公式相反,它的脱壳概括也可用于计算质量。

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