The low dimensional dynamical system approach in general relativity: An example

International Journal of Modern Physics C

Volumn 18, Issue 12, 2007, Pages 1853-1864

  De Oliveira, H P ^a   Rodrigues, E L ^a   Damiao Soares I ^b   Tonini, E V ^c  

^a STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^c INSTITUTO FEDERAL DO ESPÍRITO SANTO   (Brazil)

Author keywords

Collocation method; Galerkin method; Robinson Trautman spacetimes

Indexed keywords

EID: 39649095575     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183107011881     Document Type: Article

References (15)

1. C. M. Will, Living Rev. Relativity 9, 3 (2006), http://www.livingreviews.org/lrr-2006-3.
2. J. Winicour, Living Rev. Relativity 8, 10 (2005), http://www.livingreviews.or/lrr-2005-10;
3. G. Cook, Living Rev. Relativity 3, 5 (2000), http://www.livingreviews.or/lrr-2005-5.
4. S. Bonazzola, E. Gourgoulhon and J. A. Marck, J. Comp. Appl. Math. 109, 433 (1999);
5. C. Canuto, M. Y. Hussaini, A. Quarteroni and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, Berlin, 1988).
6. C. A. J. Fletcher, Computational Galerkin Methods (Springer-Verlag, New York, 1984).
7. P. Holmes, J. L. Lumley and G. Berkooz, Turbulence, Coherent Structures Dynamical Systems and Symmetry (Cambridge University Press, Cambridge, 1998).
8. J. P. Boyd, Chebyshev and Fourier Spectral Methods (Dover, 2001).
9. I. Robinson and A. Trautman, Phys. Rev. Lett. 4, 431 (1960);
10. Proc. Roy. Soc. A 265, 463 (1962);
11. H. P. Oliveira and I. Damião Soares, Phys. Rev. D 70, 084041 (2004).
12. E. T. Newman and T. W. J. Unti, J. Math. Phys. 3, 891 (1962).
13. H. Bondi, M. G. J. van der Berg and A. W. K. Metzner, Proc. R. Soc. London A 269, 21 (1962);
14. R. K. Sachs, Phys. Rev. 128, 2851 (1962).
15. B. A. Finlayson, The Method of Weighted Residuals and Variational Principles (Academic Press, New York, 1973).