Abstract
We discuss the effect that small fluctuations of local anisotropy (principal stresses unequal) may have on the occurrence of cracking in spherical compact objects. Two families of homogeneous fluid distributions are considered. For both it is shown that departures from equilibrium may lead to the appearance of cracking, only if fluctuations of local anisotropy are allowed. The case of fluctuations in an initially locally isotropic (perfect fluid) configuration deserves particular attention.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Herrera, L. (1992). Phys. Lett. A165, 206; (1994). ibid. 188, 402.
Di Prisco, A., Fuenmayor, E., Herrera, L., and Varela, V. (1994). Phys. Lett. A195, 23.
Chan, R., Herrera, L., and Santos, N. O. (1992). Class. Quantum Grav. 9, L133.
Chan, R., Herrera, L., and Santos, N. O. (1993). Mon. Not. R. Astr. Soc. 265, 533.
Herrera, L., and Santos, N. O. (1993). In Topics on Quantum Gravity and Beyond, F. Mansouri and J. Scanio, eds. (World Scientific Publishing, Singapore), p. 229.
Collins, J. C., and Perry, M. J. (1975). Phys. Rev. Lett. 34, 1353.
Itoh, N. (1970). Prog. Theor. Phys. 44, 291.
Sokolov, A. I. (1980). Sov. Phys.-JETP 52, 575.
Migdal, A. B. (1971). Sov. Phys.-JETP 34, 1184.
Sawyer, R. F. (1972). Phys. Rev. Lett. 29, 382.
Scalapino, D. (1972). Phys. Rev. Lett. 29, 386.
Sawyer, R. F., and Scalapino, D. (1973). Phys. Rev. D7, 953.
Sawyer, R. F., and Soni, A. (1977). Astrophys. J. 216, 73.
Hartle, J. B., Sawyer, R., and Scalapino, D. (1975). Astrophys. J. 199, 471.
Kazanas, D. (1978). Astrophys. J. 222, 1109.
Kazanas, D., and Schramam, D. (1979). In Sources of Gravitational Radiation, L. Smarr, ed. (Cambridge University Press, Cambridge), p. 345.
Arnett, W. D. (1977). Astrophys. J. 218, 815.
Cameron, A. E. V., and Canuto, V. (1973). In Proc. 16th Solvay Conference on Astrophysics and Gravitation: Neutron Stars: General Review (Editions de l'Université Libre de Bruxelles, Brussels).
Ruderman, M. (1972). Ann. Rev. Astron. Astrophys. 10, 427.
Jones, P. B. (1975). Astrophys. Space Sci. 33, 215.
Easson, I., and Pethick, C. J. (1977). Phys. Rev. D16, 275.
Letelier, P. (1980). Phys. Rev. D22, 807.
Alencar, P., and Letelier, P. (1986). Phys. Rev. D34, 343.
Bayin, S. (1982). Phys. Rev. D26, 1262.
Bondi, H. (1964). Proc. R. Soc. London A281, 39.
Bowers, R., and Liang, E. (1974). Astrophys. J. 188, 657.
Bondi, H. (1964). Lectures on General Relativity (Prentice Hall, New Jersey), p. 446.
Lemaître, G. (1933). Ann. Soc. Sci. Bruxelles A53, 51; English transl. (1997). Gen. Rel. Grav. 29, 641.
Landau, L., and Lifshitz, E. (1959). Statistical Physics (Pergamon Press, Oxford).
Herrera, L., Jiménez, J., and Ruggeri, G. (1980). Phys. Rev. D22, 2305.
Esculpi, M., and Herrera, L. (1987). J. Math. Phys. 27, 2087.
Herrera, L., and Núñez, L. (1990). Astrophys. J. 364, 212.
Colgate, S., and Johnson, H. (1960). Phys. Rev. lett. 5, 235.
Bethe, H., Brown, G., Applegate, J., and Lattimer, J. (1979). Nucl. Phys. A324, 487.
Wilson, J. (1985). In Numerical Relativity, J. Le Blanc and R. Bowers, eds. (Jones & Barlett, Boston).
Bethe, H., and Wilson, J. (1985). Astrophys. J. 295, 14.
Arnett, W. D. (1987). Astrophys. J. 319, 136.
Burrows, A. (1987). Astrophys. J. 318, 157.
Ruderman, M. (1969). Nature 223, 597.
Pines, D., Shaham, J., and Ruderman, M. (1972). Nature 237, 83.
Shaham, J., Pines, D., and Ruderman, M. (1973). Ann. N. Y. Acad. Sci. 224, 190.
Ruderman, M. (1991). Astrophys. J. 382, 587.
Rights and permissions
About this article
Cite this article
Di Prisco, A., Herrera, L. & Varela, V. Cracking of Homogeneous Self-Gravitating Compact Objects Induced by Fluctuations of Local Anisotropy. General Relativity and Gravitation 29, 1239–1256 (1997). https://doi.org/10.1023/A:1018859712881
Issue Date:
DOI: https://doi.org/10.1023/A:1018859712881