Summary
We investigate the perturbation of the classical solution to a strong-gravity model given by Salam and Strathdee. By using the Hamiltonian formalism it is shown that this static spherically symmetric solution is unstable under the odd-parity perturbations.
Riassunto
Si studia la perturbazione della soluzione classica al modello di gravità forte dato da Salam e Strathdee. Usando il formalismo hamiltoniano si mostra che questa soluzione statica a simmetria sferica è instabile quando soggetta a perturbazioni di parità dispari.
Резюме
Мы исследуем возмущение классического решения в модели сильной гравитации, предложенной Саламом и Стратди. Используя Гамильтонов формализм, показывается, что это статическое сферически симметричное решение является неустойчивым относительно нечетных возмущений.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. J. Isham, A. Salam andJ. Strathdee:Phys. Rev. D,3, 867 (1971).
A. Salam andJ Strathdee:Phys. Rev. D.,16, 2668 (1977).
A. Salam andJ. Strathdee:Phys. Lett. B,67, 429 (1977).
R. Arnowitt, S. Deser andC. Misner:The dynamics of general relativity, inGravitation: An Introduction to Current Research, edited byL. Witten (New York, N. Y., 1962), p. 227.
V. Moncrief:Ann. Phys. (N. Y.),88, 323, 343 (1974).
T. Regge andJ. A. Wheeler:Phys. Rev.,108, 1063 (1957).
In ref. (2,3).A. Salam andJ. Strathdee:Phys. Lett. B,67, 429 (1977). ℒmass=\( - \frac{{M^2 \sqrt { - \eta } }}{{4k_f^2 }}\left( {f^{\chi \lambda } - \eta ^{\chi \lambda } } \right)\left( {f^{\mu \nu } - \eta ^{\mu \nu } } \right)\left( {g_{\chi \mu } g_{\lambda \nu } - g_{\mu \nu } g_{\chi \lambda } } \right)\). We prefer to use the form given by eq. (2.2) (its linearization gives 2–4), which is more convenient for the expansion of ℒmass in terms of the lapse functionN and shift vectorN i defined in sect.3. The corresponding solutions differ from one another by a constant multiple (compare the values given by (2.11) with the values given in ref. (2,3)A. Salam andJ. Strathdee:Phys. Rev. D,16, 2668 (1977).A. Salam andJ. Strathdee:Phys. Lett. B,67, 429 (1977). Therefore, the two forms of ℒmass have the same physical consequences. I am grateful to Prof.J. Strathdee for pointing out to me this possibility.
We use the conventions and notationsC. W. Misner, K. S. Thorne andJ. A. Wheeler:Gravitation (San Francisco, Cal., 1973).
A. Taub:Commun. Math. Phys.,15, 235 (1969).
V. Moncrief:Phys. Rev. D,9, 2707 (1974);10, 1057 (1974);12, 1526 (1975).
D. G. Boulware andS. Deser:Phys. Rev. D,6, 3368 (1972).
Author information
Authors and Affiliations
Additional information
Work supported in part by the Scientific and Technical Research Council of Turkey, Tubitak.
Traduzione a cura della Redazione.
Перевебено ребакцией.
Rights and permissions
About this article
Cite this article
Baran, S.A. The unstability of the strong-gravity solution. Nuov Cim B 55, 77–88 (1980). https://doi.org/10.1007/BF02728378
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02728378