Timur Pryadilin, Daniil Zhitov, Vitalii Vertogradov
{"title":"带电黑洞附近的粒子碰撞","authors":"Timur Pryadilin, Daniil Zhitov, Vitalii Vertogradov","doi":"10.1134/S0202289324010109","DOIUrl":null,"url":null,"abstract":"<p>The process of particle collision in the vicinity of black holes is known to generate unbounded energies in the center-of-mass frame (the Bañados–Silk–West (BSW) effect) under specific conditions. We consider this process in the charged black hole metrics, namely, the Reissner–Nordström (RN) and Majumdar–Papapetrou (MP) metrics. We consider energy extraction from a Bardeen regular black hole due to the BSW effect. As in the RN case, we show that there is no restriction on energy extraction, but for real charged particles this effect is negligible. We derive necessary and sufficient conditions for this process. The conditions for the BSW effect in RN and MP metrics are shown to be identical, which is explained by the asymptotic equivalence of the two metrics near the horizons. Energy extraction in the RN metric is discussed. It is shown that if two real particles collide while falling onto a black hole, they are extremely unlikely to generate an ultra-massive particle. For the case of head-on collisions, we derive an upper bound on the extracted mass, which depends on the lapse function of the metric at the point of collision.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"30 1","pages":"48 - 56"},"PeriodicalIF":1.2000,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Particle Collisions in the Vicinity of Charged Black Holes\",\"authors\":\"Timur Pryadilin, Daniil Zhitov, Vitalii Vertogradov\",\"doi\":\"10.1134/S0202289324010109\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The process of particle collision in the vicinity of black holes is known to generate unbounded energies in the center-of-mass frame (the Bañados–Silk–West (BSW) effect) under specific conditions. We consider this process in the charged black hole metrics, namely, the Reissner–Nordström (RN) and Majumdar–Papapetrou (MP) metrics. We consider energy extraction from a Bardeen regular black hole due to the BSW effect. As in the RN case, we show that there is no restriction on energy extraction, but for real charged particles this effect is negligible. We derive necessary and sufficient conditions for this process. The conditions for the BSW effect in RN and MP metrics are shown to be identical, which is explained by the asymptotic equivalence of the two metrics near the horizons. Energy extraction in the RN metric is discussed. It is shown that if two real particles collide while falling onto a black hole, they are extremely unlikely to generate an ultra-massive particle. For the case of head-on collisions, we derive an upper bound on the extracted mass, which depends on the lapse function of the metric at the point of collision.</p>\",\"PeriodicalId\":583,\"journal\":{\"name\":\"Gravitation and Cosmology\",\"volume\":\"30 1\",\"pages\":\"48 - 56\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2024-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gravitation and Cosmology\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0202289324010109\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gravitation and Cosmology","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1134/S0202289324010109","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
On Particle Collisions in the Vicinity of Charged Black Holes
The process of particle collision in the vicinity of black holes is known to generate unbounded energies in the center-of-mass frame (the Bañados–Silk–West (BSW) effect) under specific conditions. We consider this process in the charged black hole metrics, namely, the Reissner–Nordström (RN) and Majumdar–Papapetrou (MP) metrics. We consider energy extraction from a Bardeen regular black hole due to the BSW effect. As in the RN case, we show that there is no restriction on energy extraction, but for real charged particles this effect is negligible. We derive necessary and sufficient conditions for this process. The conditions for the BSW effect in RN and MP metrics are shown to be identical, which is explained by the asymptotic equivalence of the two metrics near the horizons. Energy extraction in the RN metric is discussed. It is shown that if two real particles collide while falling onto a black hole, they are extremely unlikely to generate an ultra-massive particle. For the case of head-on collisions, we derive an upper bound on the extracted mass, which depends on the lapse function of the metric at the point of collision.
期刊介绍:
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community