Galerkin method in the gravitational collapse: A dynamical system approach

@article{Oliveira2002GalerkinMI,
  title={Galerkin method in the gravitational collapse: A dynamical system approach},
  author={Henrique Pereira de Oliveira and Ivano Damiāo Soares},
  journal={Physical Review D},
  year={2002},
  volume={65},
  pages={064029}
}
We study the general dynamics of the spherically symmetric gravitational collapse of a massless scalar field. We apply the Galerkin projection method to transform a system of partial differential equations into a set of ordinary differential equations for modal coefficients, after a convenient truncation procedure, largely applied to problems of turbulence. In the present case, we have generated a finite dynamical system that reproduces the essential features of the dynamics of the… 

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