Superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes
Abstract We revisit the superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes under charged massive scalar perturbation with a new analytical method. In each case, it is analytically proved that the effective potential experienced by the scalar perturbation has o...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-10-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09715-3 |
| _version_ | 1819043361449836544 |
|---|---|
| author | Jia-Hui Huang Tian-Tian Cao Mu-Zi Zhang |
| author_facet | Jia-Hui Huang Tian-Tian Cao Mu-Zi Zhang |
| author_sort | Jia-Hui Huang |
| collection | DOAJ |
| description | Abstract We revisit the superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes under charged massive scalar perturbation with a new analytical method. In each case, it is analytically proved that the effective potential experienced by the scalar perturbation has only one maximum outside the black hole horizon and no potential well exists for the superradiance modes. So the five and six-dimensional extremal Reissner–Nordstrom black holes are superradiantly stable. The new method we developed is based on the Descartes’ rule of signs for the polynomial equations. Our result provides a complementary support of previous studies on the stability of higher dimensional extremal Reissner–Nordstrom black holes based on numerical methods. |
| first_indexed | 2024-12-21T09:55:34Z |
| format | Article |
| id | doaj.art-4840c51a57844660b5add5b2633575d8 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-21T09:55:34Z |
| publishDate | 2021-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-4840c51a57844660b5add5b2633575d82022-12-21T19:08:05ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-10-0181101910.1140/epjc/s10052-021-09715-3Superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holesJia-Hui Huang0Tian-Tian Cao1Mu-Zi Zhang2Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal UniversityGuangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal UniversityGuangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal UniversityAbstract We revisit the superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes under charged massive scalar perturbation with a new analytical method. In each case, it is analytically proved that the effective potential experienced by the scalar perturbation has only one maximum outside the black hole horizon and no potential well exists for the superradiance modes. So the five and six-dimensional extremal Reissner–Nordstrom black holes are superradiantly stable. The new method we developed is based on the Descartes’ rule of signs for the polynomial equations. Our result provides a complementary support of previous studies on the stability of higher dimensional extremal Reissner–Nordstrom black holes based on numerical methods.https://doi.org/10.1140/epjc/s10052-021-09715-3 |
| spellingShingle | Jia-Hui Huang Tian-Tian Cao Mu-Zi Zhang Superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes European Physical Journal C: Particles and Fields |
| title | Superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes |
| title_full | Superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes |
| title_fullStr | Superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes |
| title_full_unstemmed | Superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes |
| title_short | Superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes |
| title_sort | superradiant stability of five and six dimensional extremal reissner nordstrom black holes |
| url | https://doi.org/10.1140/epjc/s10052-021-09715-3 |
| work_keys_str_mv | AT jiahuihuang superradiantstabilityoffiveandsixdimensionalextremalreissnernordstromblackholes AT tiantiancao superradiantstabilityoffiveandsixdimensionalextremalreissnernordstromblackholes AT muzizhang superradiantstabilityoffiveandsixdimensionalextremalreissnernordstromblackholes |