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picture1_Calculus Pdf 169217 | Tenscal


 141x       Filetype PDF       File size 0.29 MB       Source: lorene.obspm.fr


File: Calculus Pdf 169217 | Tenscal
tensor calculus with lorene eric gourgoulhon laboratoire de l univers et de ses th eories luth cnrs observatoire de paris f 92195 meudon france eric gourgoulhon obspm fr based on ...

icon picture PDF Filetype PDF | Posted on 25 Jan 2023 | 2 years ago
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                                       Tensor calculus with Lorene
                                                        Eric Gourgoulhon
                                        Laboratoire de l’Univers et de ses Th´eories (LUTH)
                                                    CNRS / Observatoire de Paris
                                                       F-92195 Meudon, France
                                                      eric.gourgoulhon@obspm.fr
                                                    based on a collaboration with
                                              Philippe Grandcl´ement & J´erˆome Novak
                                             School on spectral methods:
                          Application to General Relativity and Field Theory
                                             Meudon, 14-18 November 2005
                                    http://www.lorene.obspm.fr/school/
        Eric Gourgoulhon (LUTH, Meudon)                   Tensor calculus with Lorene                   Meudon, 16 November 2005    1 / 19
      General features of tensor calculus in Lorene
            Tensor calculus on a 3-dimensional manifold only (3+1 formalism of general
            relativity)
            Main class: Tensor : stores tensor components with respect to a given triad
            and not abstract tensors
            Different metrics can be used at the same time (class Metric), with their
            associated covariant derivatives
            Covariant derivatives can be defined irrespectively of any metric (class
            Connection)
            Dynamical gestion of dependencies guaranties that all quantities are up to
            date, being recomputed only if necessary
        Eric Gourgoulhon (LUTH, Meudon)                   Tensor calculus with Lorene                   Meudon, 16 November 2005    2 / 19
        Eric Gourgoulhon (LUTH, Meudon)                   Tensor calculus with Lorene                   Meudon, 16 November 2005    3 / 19
        Eric Gourgoulhon (LUTH, Meudon)                   Tensor calculus with Lorene                   Meudon, 16 November 2005    4 / 19
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...Tensor calculus with lorene eric gourgoulhon laboratoire de l univers et ses th eories luth cnrs observatoire paris f meudon france obspm fr based on a collaboration philippe grandcl ement j er ome novak school spectral methods application to general relativity and field theory november http www features of in dimensional manifold only formalism main class stores components respect given triad not abstract tensors dierent metrics can be used at the same time metric their associated covariant derivatives dened irrespectively any connection dynamical gestion dependencies guaranties that all quantities are up date being recomputed if necessary...

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