Mutual Correlation in the Shock Wave Geometry
We probe the shock wave geometry with the mutual correlation in a spherically symmetric Reissner-Nordström AdS black hole on the basis of the gauge/gravity duality. In the static background, we find that the regions living on the boundary of the AdS black holes are correlated provided the considered...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7183608 |
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| author | Xiao-Xiong Zeng Hong-Bo Shao Ling Li Xian-Ming Liu |
| author_facet | Xiao-Xiong Zeng Hong-Bo Shao Ling Li Xian-Ming Liu |
| author_sort | Xiao-Xiong Zeng |
| collection | DOAJ |
| description | We probe the shock wave geometry with the mutual correlation in a spherically symmetric Reissner-Nordström AdS black hole on the basis of the gauge/gravity duality. In the static background, we find that the regions living on the boundary of the AdS black holes are correlated provided the considered regions on the boundary are large enough. We also investigate the effect of the charge on the mutual correlation and find that the bigger the value of the charge is, the smaller the value of the mutual correlation will be. As a small perturbation is added at the AdS boundary, the horizon shifts and a dynamical shock wave geometry form after long time enough. In this dynamic background, we find that the greater the shift of the horizon is, the smaller the mutual correlation will be. Especially for the case that the shift is large enough, the mutual correlation vanishes, which implies that the considered regions on the boundary are uncorrelated. The effect of the charge on the mutual correlation in this dynamic background is found to be the same as that in the static background. |
| format | Article |
| id | doaj-art-68367157a4524de4b64b568a88edd9ad |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-68367157a4524de4b64b568a88edd9ad2025-02-03T07:25:30ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/71836087183608Mutual Correlation in the Shock Wave GeometryXiao-Xiong Zeng0Hong-Bo Shao1Ling Li2Xian-Ming Liu3School of Material Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, ChinaCollege of Science, Agricultural University of Hebei, Baoding 071000, ChinaSchool of Mathematics, Sichuan University of Arts and Science, Dazhou 635000, ChinaSchool of Science, Hubei University for Nationalities, Enshi, 445000, ChinaWe probe the shock wave geometry with the mutual correlation in a spherically symmetric Reissner-Nordström AdS black hole on the basis of the gauge/gravity duality. In the static background, we find that the regions living on the boundary of the AdS black holes are correlated provided the considered regions on the boundary are large enough. We also investigate the effect of the charge on the mutual correlation and find that the bigger the value of the charge is, the smaller the value of the mutual correlation will be. As a small perturbation is added at the AdS boundary, the horizon shifts and a dynamical shock wave geometry form after long time enough. In this dynamic background, we find that the greater the shift of the horizon is, the smaller the mutual correlation will be. Especially for the case that the shift is large enough, the mutual correlation vanishes, which implies that the considered regions on the boundary are uncorrelated. The effect of the charge on the mutual correlation in this dynamic background is found to be the same as that in the static background.http://dx.doi.org/10.1155/2018/7183608 |
| spellingShingle | Xiao-Xiong Zeng Hong-Bo Shao Ling Li Xian-Ming Liu Mutual Correlation in the Shock Wave Geometry Advances in High Energy Physics |
| title | Mutual Correlation in the Shock Wave Geometry |
| title_full | Mutual Correlation in the Shock Wave Geometry |
| title_fullStr | Mutual Correlation in the Shock Wave Geometry |
| title_full_unstemmed | Mutual Correlation in the Shock Wave Geometry |
| title_short | Mutual Correlation in the Shock Wave Geometry |
| title_sort | mutual correlation in the shock wave geometry |
| url | http://dx.doi.org/10.1155/2018/7183608 |
| work_keys_str_mv | AT xiaoxiongzeng mutualcorrelationintheshockwavegeometry AT hongboshao mutualcorrelationintheshockwavegeometry AT lingli mutualcorrelationintheshockwavegeometry AT xianmingliu mutualcorrelationintheshockwavegeometry |