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Post-Newtonian Collapse Calculations

Published online by Cambridge University Press:  25 April 2016

Mark Thompson
Mark Thompson*
Affiliation:
Mathematics Department, Monash University
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Extract

If computer speed and storage keeps increasing at the present rate a three dimensional numerical code modelling the exact equations governing general relativistic collapse will soon be possible; however, at present it is necessary to use simplifying approximations. Provided the general relativistic effects are limited to a ‘small’ perturbation, the post-Newtonian equations of Chandrasekhar (1965) should be adequate. These equations take the form of the Newtonian equations for a self gravitating fluid with extra terms to incorporate the 1/c2 contributions, where c is the speed of light. The numerical solution of these equations can be achieved using any method appropriate for three dimensional Newtonian hydrodynamics.

Type
Contributions
Information
Publications of the Astronomical Society of Australia , Volume 5 , Issue 2 , 1983 , pp. 179 - 180
Copyright
Copyright © Astronomical Society of Australia 1983

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References

Canal, R., Isern, J., and Labay, J., Space Science Reviews 27, 595, (1980).Google Scholar
Canuto, S., Annu. Rev. Astron. Astrophys., 12, 167, (1974).Google Scholar
Chandrasekhar, S., Astrophys. J., 142, 1488, (1965).Google Scholar
Gingold, R. A., and Monaghan, J. J., Mon. Not. R. Astron. Soc., 181, 375, (1977).Google Scholar
Gingold, R. A., and Monaghan, J. J., Journ. Comp. Phys., 46, 429, (1982).Google Scholar
Gingold, R. A., and Monaghan, J. J., Mon. Not. R. Astron. Soc., 188, 39, (1979).Google Scholar
Gingold, R. A., and Monaghan, J. J., Mon. Not. R. Astron. Soc., 197, 461, (1981).Google Scholar
Misner, C. W., Thorne, K. S., and Wheeler, J. A., ‘Gravitation’, p. 599, Freeman (1973).Google Scholar
Tooper, R. F., Astrophys. J., 140, 434, (1964).Google Scholar
Wheeler, J. A., Annu. Rev. Astron. Astrophys., 4, 393, (1966).Google Scholar
Wheeler, J. A., and Ruffini, R., ‘Proceedings of a Conference on Space Physics’, pp 45–174, European Space Research Organisation, Paris, France. (1971)Google Scholar