Axial and polar modes for the ring down of a Schwarzschild black hole with an r dependent mass-function

التفاصيل البيبلوغرافية
العنوان: Axial and polar modes for the ring down of a Schwarzschild black hole with an r dependent mass-function
المؤلفون: Hess, Peter Otto, Lopez-Moreno, Enrique
سنة النشر: 2021
المجموعة: General Relativity and Quantum Cosmology
مصطلحات موضوعية: General Relativity and Quantum Cosmology
الوصف: The axial and polar modes for the ring down of a Schwarzschild black hole are calculated, by first deriving the Regge-Wheeler and Zerilli equations, respectively, and finally applying the Asymptotic Iteration Method (AIM). We were able to reach up to 500 iterations, obtaining for the first time convergence for a wide range of large damping modes. The General Relativity (GR) and a particular version of an extended model with an r-dependent mass-function are compared. This mass-function allows an analytical solution for the Tortoise coordinate. The example of the mass-function corresponds to the leading correction for extended theories and serves as a starting point to treat other r-dependent parameter mass-functions.
Comment: 25 pages, 6 figures
نوع الوثيقة: Working Paper
DOI: 10.1002/asna.20210027
URL الوصول: http://arxiv.org/abs/2101.08642
رقم الأكسشن: edsarx.2101.08642
قاعدة البيانات: arXiv