Summary
Perturbations of an exact strong-gravity solution are investigated. It is shown, by using the new multipole expansions previously presented, that this exact and static spherically symmetric solution is stable under odd-parity perturbations.
Riassunto
Si studiano le perturbazioni di una soluzione esatta della gravità forte. Si mostra, usando le nuove espansioni multipolari precedentemente presentate, che questa soluzione esatta e sfericamente simmetrica statica è stabile per perturbazioni a parità dispari.
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References
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H *even is given in ref. (6) by eq. (4.23) for the approximate strong-gravity solution.
R. Arnowitt, S. Deser andC. Misner:The Dynamics of General Relativity in Gravitation: An Introduction to Current Research, edited byL. Witten (New York, N. Y., 1962), p. 227.
We use the conventions and notations ofC. W. Misner, K. S. Thorne andJ. A. Wheeler:Gravitation (San Francisco, Cal., 1973).
See footnote (7) of ref. (3)S. A. Baran:Nuovo Cimento B,55, 77 (1980).
In ref. (6), the reality conditions, the expansions of the covariant derivatives as well as other properties of the new multipole expansions have been given in detail. Unfortunately, there are some mistakes in eqs. (A.11) and (A.12) of ref. (6).S. A. Baran:Nuovo Cimento B,52, 69 (1979). Theq 1 in eqs. (A.11) and (A.12) should read −q 1.
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Work supported in part by the Scientific and Technical Research Council of Turkey, TBTAK.
Traduzione a cura della Redazione.
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Baran, S.A. Perturbation of an exact strong-gravity solution. Nuov Cim B 74, 212–220 (1983). https://doi.org/10.1007/BF02721679
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DOI: https://doi.org/10.1007/BF02721679