Abstract We investigate the relaxation rate of the RNdS black hole perturbed by neutral massless scalar field in the eikonal limit. We find that the fastest relaxation rate of the composed system increases with the cosmological constant for all spacetime dimensions. We also find that, when the cosmological constant decreases from maximum value to zero, the corresponding critical charge of the four-dimensional RNdS black hole maximizing the relaxation rate of the composed system gradually decreases monotonically to Q ¯ = 0.726 . However, for the higher dimensional systems, this is not the case and the critical charges decrease from maximum to zero.

中文翻译：

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RNdS 黑洞的弛豫率

摘要 我们研究了 RNdS 黑洞在 eikonal 极限中受到中性无质量标量场扰动的弛豫率。我们发现组合系统的最快弛豫率随着所有时空维度的宇宙学常数而增加。我们还发现，当宇宙常数从最大值减小到零时，四维 RNdS 黑洞的相应临界电荷使组合系统的弛豫率最大化，逐渐单调减小到 Q¯ = 0.726 。然而，对于更高维的系统，情况并非如此，临界电荷从最大值减少到零。