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arXiv 1801.05640gr-qchep-th
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关于de Sitter时空中能流的传播

On Propagation of Energy Flux in de Sitter Spacetime

Sk Jahanur Hoque, Amitabh Virmani

摘要:

本文研究了de Sitter时空未来Poincaré补丁中能流的传播。我们提出了两个结果。首先,我们使用协变相空间方法的辛流密度计算能量的通量积分在恒定径向物理距离的超曲面上。利用这种计算,我们证明了在tt投影中,宇宙视界上的能流表达式中的被积函数与未来零无穷远上的被积函数是相同的。这表明德西特时空中能流的传播是尖锐的。第二,我们与我们的能量通量表达式在TT-投影先前获得的表达式使用艾萨克森应力张量的方法。我们还对具有恒定径向物理距离的超曲面上TT规范的能流计算进行了评述。

英文摘要:

In this paper, we explore propagation of energy flux in the future Poincaré patch of de Sitter spacetime. We present two results. First, we compute the flux integral of energy using the symplectic current density of the covariant phase space approach on hypersurfaces of constant radial physical distance. Using this computation we show that in the tt-projection, the integrand in the energy flux expression on the cosmological horizon is same as that on the future null infinity. This suggests that propagation of energy flux in de Sitter spacetime is sharp. Second, we relate our energy flux expression in tt-projection to a previously obtained expression using the Isaacson stress-tensor approach. We also comment on the energy flux computation in TT-gauge on hypersurfaces of constant radial physical distance.

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