- Access by Xinjiang University
Nonradial linear oscillations of shells in general relativity
Phys. Rev. D 59, 024005 – Published 7 December, 1998
DOI: https://doi.org/10.1103/PhysRevD.59.024005
Abstract
Nonradial perturbations of a static shell with an empty interior, or around a star or black hole, are investigated. The transition conditions at the shell are derived in a Gaussian and in Regge-Wheeler gauge. The existence of linearized shell solutions is demonstrated. Quasinormal modes are discussed, and the Newtonian limit of the equations is derived.
References (12)
- W. Israel, Nuovo Cimento B 44, 1 (1966).
- J. E. Chase, Nuovo Cimento B 67, 136 (1966).
- J. Frauendiener, C. Hoenselaers, and W. Konrad, Class. Quantum Grav. 7, 585 (1990).
- J. Frauendiener and C. J. Klein, J. Math. Phys. 36, 3632 (1995).
- P. Hájícěk, B. S. Kay, and K. Kuchař, Phys. Rev. D 46, 5439 (1992).
- P. R. Brady, J. Louko, and E. Poisson, Phys. Rev. D 44, 1891 (1991).
- A. Ishibashi and H. Ishibara, Phys. Rev. D 56, 3446 (1997).
- S. Kind, J. Ehlers, and B. G. Schmidt, Class. Quantum Grav. 10, 2137 (1993).
- J. Ehlers, Class. Quantum Grav. 14, A119 (1997).
- H.-P. Nollert and B. G. Schmidt, Phys. Rev. D 45, 2617 (1992).
- J. Bičák and B. G. Schmidt, Report No. AE1-086.
- S. Kind, Ph.D. thesis, LMU München, 1992.