{"title":"黑洞蒸发过程与唐格里尼-赖斯纳-诺德斯特伦黑洞阴影","authors":"Balendra Pratap Singh","doi":"arxiv-2409.07951","DOIUrl":null,"url":null,"abstract":"In this article, we study the black hole evaporation process and shadow\nproperty of the Tangherlini-Reissner-Nordstr\\\"om (TRN) black holes. The TRN\nblack holes are the higher-dimensional extension of the Reissner-Nordstr\\\"om\n(RN) black holes and are characterized by their mass $M$, charge $q$, and\nspacetime dimensions $D$. In higher-dimensional spacetime, the black hole\nevaporation occurs rapidly, causing the black hole's horizon to shrink. We\nderive the rate of mass loss for the higher-dimensional charged black hole and\ninvestigate the effect of higher-dimensional spacetime on charged black hole\nshadow. We derive the complete geodesic equations of motion with the effect of\nspacetime dimensions $D$. We determine impact parameters by maximizing the\nblack hole's effective potential and estimate the critical radius of photon\norbits. The photon orbits around the black hole shrink with the effect of the\nincreasing number of spacetime dimensions. To visualize the shadows of the\nblack hole, we derive the celestial coordinates in terms of the black hole\nparameters. We use the observed results of M87 and Sgr A$^{*}$ black hole from\nthe Event Horizon Telescope and estimate the angular diameter of the charge\nblack hole shadow in the higher-dimensional spacetime. We also estimate the\nenergy emission rate of the black hole. Our finding shows that the angular\ndiameter of the black hole shadow decreases with the increasing number of\nspacetime dimensions $D$.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"5 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Black Hole Evaporation Process and Tangherlini-Reissner-Nordström Black Holes Shadow\",\"authors\":\"Balendra Pratap Singh\",\"doi\":\"arxiv-2409.07951\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we study the black hole evaporation process and shadow\\nproperty of the Tangherlini-Reissner-Nordstr\\\\\\\"om (TRN) black holes. The TRN\\nblack holes are the higher-dimensional extension of the Reissner-Nordstr\\\\\\\"om\\n(RN) black holes and are characterized by their mass $M$, charge $q$, and\\nspacetime dimensions $D$. In higher-dimensional spacetime, the black hole\\nevaporation occurs rapidly, causing the black hole's horizon to shrink. We\\nderive the rate of mass loss for the higher-dimensional charged black hole and\\ninvestigate the effect of higher-dimensional spacetime on charged black hole\\nshadow. We derive the complete geodesic equations of motion with the effect of\\nspacetime dimensions $D$. We determine impact parameters by maximizing the\\nblack hole's effective potential and estimate the critical radius of photon\\norbits. The photon orbits around the black hole shrink with the effect of the\\nincreasing number of spacetime dimensions. To visualize the shadows of the\\nblack hole, we derive the celestial coordinates in terms of the black hole\\nparameters. We use the observed results of M87 and Sgr A$^{*}$ black hole from\\nthe Event Horizon Telescope and estimate the angular diameter of the charge\\nblack hole shadow in the higher-dimensional spacetime. We also estimate the\\nenergy emission rate of the black hole. Our finding shows that the angular\\ndiameter of the black hole shadow decreases with the increasing number of\\nspacetime dimensions $D$.\",\"PeriodicalId\":501339,\"journal\":{\"name\":\"arXiv - PHYS - High Energy Physics - Theory\",\"volume\":\"5 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - High Energy Physics - Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.07951\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - High Energy Physics - Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07951","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Black Hole Evaporation Process and Tangherlini-Reissner-Nordström Black Holes Shadow
In this article, we study the black hole evaporation process and shadow
property of the Tangherlini-Reissner-Nordstr\"om (TRN) black holes. The TRN
black holes are the higher-dimensional extension of the Reissner-Nordstr\"om
(RN) black holes and are characterized by their mass $M$, charge $q$, and
spacetime dimensions $D$. In higher-dimensional spacetime, the black hole
evaporation occurs rapidly, causing the black hole's horizon to shrink. We
derive the rate of mass loss for the higher-dimensional charged black hole and
investigate the effect of higher-dimensional spacetime on charged black hole
shadow. We derive the complete geodesic equations of motion with the effect of
spacetime dimensions $D$. We determine impact parameters by maximizing the
black hole's effective potential and estimate the critical radius of photon
orbits. The photon orbits around the black hole shrink with the effect of the
increasing number of spacetime dimensions. To visualize the shadows of the
black hole, we derive the celestial coordinates in terms of the black hole
parameters. We use the observed results of M87 and Sgr A$^{*}$ black hole from
the Event Horizon Telescope and estimate the angular diameter of the charge
black hole shadow in the higher-dimensional spacetime. We also estimate the
energy emission rate of the black hole. Our finding shows that the angular
diameter of the black hole shadow decreases with the increasing number of
spacetime dimensions $D$.