Universality of BSW mechanism for spinning particles
Abstract Bañados et al. (BSW) found that Kerr black holes can act as particle accelerators with collisions at arbitrarily high center-of-mass energies. Recently, collisions of particles with spin around some rotating black holes have been discussed. In this paper, we study the BSW mechanism for spin...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-04-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-6892-3 |
| _version_ | 1818776273548214272 |
|---|---|
| author | Jie Jiang Sijie Gao |
| author_facet | Jie Jiang Sijie Gao |
| author_sort | Jie Jiang |
| collection | DOAJ |
| description | Abstract Bañados et al. (BSW) found that Kerr black holes can act as particle accelerators with collisions at arbitrarily high center-of-mass energies. Recently, collisions of particles with spin around some rotating black holes have been discussed. In this paper, we study the BSW mechanism for spinning particles by using a metric ansatz which describes a general rotating black hole. We notice that there are two inequivalent definitions of center-of-mass (CM) energy for spinning particles. We mainly discuss the CM energy defined in terms of the worldline of the particle. We show that there exists an energy-angular momentum relation $$e=\Omega _h j$$ e=Ωhj that causes collisions with arbitrarily high energy near extremal black holes. We also provide a simple but rigorous proof that the BSW mechanism breaks down for nonextremal black holes. For the alternative definition of the CM energy, some authors find a new critical spin relation that also causes the divergence of the CM mass. However, by checking the timelike constraint, we show that particles with this critical spin cannot reach the horizon of the black hole. Further numerical calculation suggests that such particles cannot exist anywhere outside the horizon. Our results are universal, independent of the underlying theories of gravity. |
| first_indexed | 2024-12-18T11:10:19Z |
| format | Article |
| id | doaj.art-711e5b8b231b472bbcf8bdc703d2413c |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-18T11:10:19Z |
| publishDate | 2019-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-711e5b8b231b472bbcf8bdc703d2413c2022-12-21T21:10:00ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-04-017951810.1140/epjc/s10052-019-6892-3Universality of BSW mechanism for spinning particlesJie Jiang0Sijie Gao1Department of Physics, Beijing Normal UniversityDepartment of Physics, Beijing Normal UniversityAbstract Bañados et al. (BSW) found that Kerr black holes can act as particle accelerators with collisions at arbitrarily high center-of-mass energies. Recently, collisions of particles with spin around some rotating black holes have been discussed. In this paper, we study the BSW mechanism for spinning particles by using a metric ansatz which describes a general rotating black hole. We notice that there are two inequivalent definitions of center-of-mass (CM) energy for spinning particles. We mainly discuss the CM energy defined in terms of the worldline of the particle. We show that there exists an energy-angular momentum relation $$e=\Omega _h j$$ e=Ωhj that causes collisions with arbitrarily high energy near extremal black holes. We also provide a simple but rigorous proof that the BSW mechanism breaks down for nonextremal black holes. For the alternative definition of the CM energy, some authors find a new critical spin relation that also causes the divergence of the CM mass. However, by checking the timelike constraint, we show that particles with this critical spin cannot reach the horizon of the black hole. Further numerical calculation suggests that such particles cannot exist anywhere outside the horizon. Our results are universal, independent of the underlying theories of gravity.http://link.springer.com/article/10.1140/epjc/s10052-019-6892-3 |
| spellingShingle | Jie Jiang Sijie Gao Universality of BSW mechanism for spinning particles European Physical Journal C: Particles and Fields |
| title | Universality of BSW mechanism for spinning particles |
| title_full | Universality of BSW mechanism for spinning particles |
| title_fullStr | Universality of BSW mechanism for spinning particles |
| title_full_unstemmed | Universality of BSW mechanism for spinning particles |
| title_short | Universality of BSW mechanism for spinning particles |
| title_sort | universality of bsw mechanism for spinning particles |
| url | http://link.springer.com/article/10.1140/epjc/s10052-019-6892-3 |
| work_keys_str_mv | AT jiejiang universalityofbswmechanismforspinningparticles AT sijiegao universalityofbswmechanismforspinningparticles |