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Isabel Cordero-Carrión Department of Astronomy and Astrophysics University of Valencia

Isabel Cordero-Carrión Department of Astronomy and Astrophysics University of Valencia Doctoral Student Just Started 1/1/2006 Attending lectures of the different matters: - Geometry, Cosmology, Astrophysics… Supervisor: José María Ibáñez Collaboration:

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Isabel Cordero-Carrión Department of Astronomy and Astrophysics University of Valencia

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  1. Isabel Cordero-Carrión Department of Astronomy and Astrophysics University of Valencia Doctoral Student Just Started 1/1/2006 Attending lectures of the different matters: - Geometry, Cosmology, Astrophysics… Supervisor: José María Ibáñez Collaboration: - Valencia (J.A. Font, Pablo Cerdá-Durán…) - LUTH Obs. Paris – Meudon (Eric Gourgoulhon, Jerôme Novak, José Luis Jaramillo…) - MPA Garching (Ewald Müller, Harald Dimmermeier…) Full constrained scheme CFC

  2. Evolutionformalism 3+1 Fully constrained scheme (Meudon) (Bonazzola et al., 2004) • Solve all the constraint equations at each time step. • Spatial metric: flat metric + perturbations. • Maximize the number of elliptic equations (spectral methods). • Wave equation for the perturbations. • - Generalize the CFC (conformally flat condition) formalism.

  3. Generalization of CFC Equation for the shift vector: Equation for the conformal factor:

  4. Equation for the lapse: Equation for the perturbations respect to the flat metric:

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