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非对易黑洞的准正则模与阴影

Quasinormal modes and shadow of noncommutative black hole.

作者信息

Campos J A V, Anacleto M A, Brito F A, Passos E

机构信息

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, Paraíba, 58051-970, Brazil.

Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, Campina Grande, Paraíba, 58429-900, Brazil.

出版信息

Sci Rep. 2022 May 20;12(1):8516. doi: 10.1038/s41598-022-12343-w.

DOI:10.1038/s41598-022-12343-w
PMID:35595802
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9122996/
Abstract

In this paper we investigate quasinormal modes (QNM) for a scalar field around a noncommutative Schwarzschild black hole. We verify the effect of noncommutativity on quasinormal frequencies by applying two procedures widely used in the literature. The first is the Wentzel-Kramers-Brillouin (WKB) approximation up to sixth order. In the second case we use the continuous fraction method developed by Leaver. Besides, we also show that due to noncommutativity, the shadow radius is reduced when we increase the noncommutative parameter. In addition, we find that the shadow radius is nonzero even at the zero mass limit for finite noncommutative parameter.

摘要

在本文中，我们研究了非对易史瓦西黑洞周围标量场的准正则模（QNM）。我们通过应用文献中广泛使用的两种方法来验证非对易性对准正则频率的影响。第一种是高达六阶的温策尔 - 克拉默斯 - 布里渊（WKB）近似。在第二种情况下，我们使用利弗开发的连分数法。此外，我们还表明，由于非对易性，当我们增加非对易参数时，阴影半径会减小。另外，我们发现对于有限的非对易参数，即使在零质量极限下阴影半径也不为零。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/16cbe5883175/41598_2022_12343_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/cb9303626c70/41598_2022_12343_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/7c9ea14c4f5d/41598_2022_12343_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/fdd789932ad3/41598_2022_12343_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/b49a4cab7157/41598_2022_12343_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/e21a7e1effcd/41598_2022_12343_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/1b8d3de16098/41598_2022_12343_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/b781a187bcaa/41598_2022_12343_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/16cbe5883175/41598_2022_12343_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/cb9303626c70/41598_2022_12343_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/7c9ea14c4f5d/41598_2022_12343_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/fdd789932ad3/41598_2022_12343_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/b49a4cab7157/41598_2022_12343_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/e21a7e1effcd/41598_2022_12343_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/1b8d3de16098/41598_2022_12343_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/b781a187bcaa/41598_2022_12343_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ddc/9122996/16cbe5883175/41598_2022_12343_Fig8_HTML.jpg

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