Quasinormal Modes of Black Holes
Tóm tắt
One typically disturbs a system from equilibrium and studies its behavior to understand its stability. This procedure gives insight into the dynamics at play. It is one of the few techniques used in all areas of physics, be it Newtonian mechanics, quantum mechanics, or general relativity. We have continued this effort by disturbing black holes. We will see that a black hole chimes like a bell when it is disturbed. We will study this chiming mathematically in Schwarzschild black holes.
Tài liệu tham khảo
S Chandrasekhar, The Mathematical Theory of Black Holes, Oxford Classic Texts in the Physical Sciences, Clarendon Press, 1998.
David J. Griffiths, Introduction to Quantum Mechanics, Upper Saddle River, NJ: Pearson Prentice Hall, 2005.
E Berti, V Cardoso and A O Starinets, Quasinormal modes of black holes and black branes, Classical and Quantum Gravity, Vol.26, No.16, p.163001, 2009.
K D Kokkotas and B G Schmidt, Quasi-normal modes of stars and black holes, Living Reviews in Relativity, Vol.2, No.2, pp.1–72 1999.
S Chandrasekhar and S L Detweiler, The quasi-normal modes of the Schwarzschild black hole, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, Vol.344, No.1639, pp.441–152, 1975.
A Bachelot and A Motet-Bachelot, Les résonances d’un trou noir de Schwarzschild, Annales de l’I.H.P. Physique théorique, Vol.59, No.1, pp.3–68, 1993.
E W Leaver, An analytic representation for the quasi-normal modes of Kerr black holes, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, Vol.402, No.1823, pp.285–298, 1985.
H P Nollert, Quasinormal modes of Schwarzschild black holes: The determination of quasinormal frequencies with very large imaginary parts, Physical Review D, Vol.47, No.12, pp.5253–5258, 1993.
T Regge and J A Wheeler, Stability of a Schwarzschild singularity, Physical Review, Vol.108, No.4, pp.1063–1069, 1957.
F J Zerilli, Effective potential for even parity Regge-Wheeler gravitational perturbation equations, Physical Review Letters, Vol.24, No.13, pp.737–738, 1970.
B F Schutz and C M Will, Black hole normal modes-A semianalytic approach, The Astrophysical Journal, Vol.291, pp.L33–L36, 1985.