Radiation fluxes of gravitational, electromagnetic, and scalar perturbations in type-D black holes: an exact approach
We present a novel method that solves Teukolsky equations with the source to calculate radiation fluxes at infinity and event horizon for any perturbation fields of type-D black holes. For the first time, we use the confluent Heun function to obtain the exact solutions of ingoing and outgoing waves...
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| Published in | Journal of cosmology and astroparticle physics Vol. 2023; no. 11; pp. 70 - 109 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Bristol
IOP Publishing
01.11.2023
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| Subjects | |
| Online Access | Get full text |
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| Abstract | We present a novel method that solves Teukolsky equations with the source to calculate radiation fluxes at infinity and event horizon for any perturbation fields of type-D black holes. For the first time, we use the confluent Heun function to obtain the exact solutions of ingoing and outgoing waves for the Teukolsky equation. This benefits from our derivation of the asymptotic analytic expression of the confluent Heun function at infinity. It is interesting to note that these exact solutions are not subject to any constraints, such as low-frequency and weak-field. To illustrate the correctness, we apply these exact solutions to calculate the gravitational, electromagnetic, and scalar radiations emitted by a particle in circular orbits around a Schwarzschild black hole. Numerical results show that the proposed exact solution appreciably improves the computational accuracy and efficiency compared with the 23rd post-Newtonian order expansion and the Mano-Suzuki-Takasugi method. |
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| AbstractList | We present a novel method that solves Teukolsky equations with the source to calculate radiation fluxes at infinity and event horizon for any perturbation fields of type-D black holes. For the first time, we use the confluent Heun function to obtain the exact solutions of ingoing and outgoing waves for the Teukolsky equation. This benefits from our derivation of the asymptotic analytic expression of the confluent Heun function at infinity. It is interesting to note that these exact solutions are not subject to any constraints, such as low-frequency and weak-field. To illustrate the correctness, we apply these exact solutions to calculate the gravitational, electromagnetic, and scalar radiations emitted by a particle in circular orbits around a Schwarzschild black hole. Numerical results show that the proposed exact solution appreciably improves the computational accuracy and efficiency compared with the 23rd post-Newtonian order expansion and the Mano-Suzuki-Takasugi method. |
| Author | Jing, Jiliang Chen, Changkai |
| Author_xml | – sequence: 1 givenname: Changkai orcidid: 0000-0002-4023-0682 surname: Chen fullname: Chen, Changkai organization: Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, China – sequence: 2 givenname: Jiliang orcidid: 0000-0002-2803-7900 surname: Jing fullname: Jing, Jiliang organization: Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, China |
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| CitedBy_id | crossref_primary_10_1007_s11433_024_2431_0 crossref_primary_10_1140_epjc_s10052_025_13935_2 crossref_primary_10_1140_epjc_s10052_024_13225_3 crossref_primary_10_1007_s11433_023_2354_1 |
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| Snippet | We present a novel method that solves Teukolsky equations with the source to calculate radiation fluxes at infinity and event horizon for any perturbation... |
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| SubjectTerms | Black holes Circular orbits Event horizon Exact solutions Fluxes GR black holes gravitational waves / theory gravity Infinity Perturbation Radiation |
| Title | Radiation fluxes of gravitational, electromagnetic, and scalar perturbations in type-D black holes: an exact approach |
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