Abstract
We discuss two schemes for general relativistic numerical cosmological solutions. The scheme are based on the 3+1 ADM formalism and on the 3+1 Regge Calculus and they are designed for a full three dimensional time dependent solution of the Einstein equations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arnowitt, R. Deser, S. and Misner, C. W. (1962) in Gravitation: Introduction to Current Research, L. Witted, ed. Willey, New York.
Bardeen, J. M, (1983) in Gravitational Radiation Eds. Deruelle, N. and Piran, T. North Holland, Amsterdam.
Bardeen, J., M. and Piran, T., (1983) Physics Reports, 96, 20.
Belinski, V. et al. (1985) Phys. Lett B. 55, 977, 1985.
Brewin, L., (1986) Paper presented at the GRG 11 meting, Stockholm.
Cantor, M., (1983) J. Math. Phys. 20 1741.
Cantor, M. and Piran, T., (1983) General Relativity and Gravitation, 15, 1077–1082.
Centrella, J. (1980) Ap. J. 241, 875.
Centrella, J. and Matzner, R. A. (1983) Ap. J. 273, 428.
Centrella, J., and Wilson, J. R. (1983) Ap. J. 273, 428.
Centrella, J., Matzner, R. A., Rothman, T. and Wilson, J., (1986) Nucl. Phys. B266, 171.
Choquet-Bruhat and York, J. M. (1980) in General Relativity and Gravitation ed. A. Held, Plenum Press, New York.
Collins, P. A. and Williams, R. M., (1972) Phys. Rev. D5, 1908.
Collins, P. A. and Williams, R. M., (1973) Phys. Rev. D7, 965.
Collins, P. A. and Williams, R. M., (1974) Phys. Rev. D11, 3537.
Eardley D. and Smarr L. L. (1979) Phys. Rev. D19, 2239.
Friedberg, R. and Lee, T. D., (1984) Nucl. Phys. B252, 145.
Friedman, J. and Jack, I., (1986) Math. Phys., in press.
Hamber, H. W. and Williams, R. M. (1984) Nucl. Phys. B248, 392.
Kurki Suonio, H., Centrella, J., Matzner, R. A., and Wilson, J., (1987) Phys. Rev. D35, 435.
Lichnerowicz, A. (1944) J. Math,. Pures er Appl., 23, 37.
Lund H. and Regge, T., (1974) unpublished work.
Miller, W. (1986) private communication.
Misner C. W., Thorne, K. S. and Wheeler, J. A. (1973) Gravitation Freeman, San Francisco.
Pantano O. and Miller, J. (1986) preprint.
Penrose R. (1979) in General Relativity an Einstein Centenary Volume eds. Hawking, S. W. and Israel, W., Cambridge University Press.
Piran, T. (1980) J. Comp. Phys. 35, 254.
Piran, T. (1983) in Gravitational Radiation Eds. Deruelle, N. and Piran, T. North Holland, Amsterdam.
Piran, T. and Williams, R. M. (1985) Phys. Lett 163B, 331.
Piran, T. and Williams, R. M. (1986) Phys. Rev. D33, 1622.
Porter, R. (1986) preprint.
Regge, T. (1961) Nuovo Cimento 19 558.
Schutz, B. F., (1970) Phys. Rev. D2, 2762.
Smarr L. L. and York, J. W. (1978a) Phys. Rev. D17, 1945.
Smarr L. L. and York, J. W. (1978b) Phys. Rev. D17, 2529.
Smarr, L. L., (1979) in Sources of Gravitational Radiation Ed. Smarr, L. Cambridge Univ. Press, Cambridge, England.
Sorkin, R. (1975) Phys. Rev. D12 385.
Weinberg, S. (1972) Gravitation and Cosmology, Willey, New York.
Wheeler J. A. (1964) in Relativity Groups and Topology ed. C. DeWitt and B. DeWitt (Gordon & Breach, N.Y.
Williams, R. M., (1985) Gen. Rel. and Grav., 17, 559.
Williams R, M, and Piran, T. (1985) Contributed Talk by Williams at the IV Marcel Grossmann meeting, to be published in the proceeding.
Wilson, J. (1972) Ap. J. 173, 431.
Wilson, J. (1979) in Sources of Gravitational Radiation ed Smarr, L. Cambridge Univ. Press, Cambridge, England.
York, J. M. (1972) Phys. Rev. Lett. 28 1982.
York, J. M. ( 1979 in Sources of Gravitational Radiation ed Smarr, L. Cambridge Univ. Press, Cambridge, England.
York, J. M. (1980) in Essays in General Relativity ed. Tipler F., Academic Press, New York.
York, J. M. (1983) in Gravitational Radiation Eds. Deruelle, N. and Piran, T. North Holland, Amsterdam.
York, J.W. Jr. and Piran, T. (1982) in Space-time and Geometry, Shapely L. and Matzner R. Eds., Texas University Press, Austin, TX.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 D. Reidel Publishing Company
About this chapter
Cite this chapter
Piran, T. (1988). Numerical Relativity and Cosmology. In: Unruh, W.G., Semenoff, G.W. (eds) The Early Universe. NATO ASI Series, vol 219. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4015-4_8
Download citation
DOI: https://doi.org/10.1007/978-94-009-4015-4_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8281-5
Online ISBN: 978-94-009-4015-4
eBook Packages: Springer Book Archive