Lagrangian dynamics in non-flat universes and non-linear gravitational evolution | Zendy

Paolo Catelan | Zendy

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Lagrangian dynamics in non-flat universes and non-linear gravitational evolution

Author(s) -

Paolo Catelan

Publication year - 1995

Publication title -

monthly notices of the royal astronomical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.058

H-Index - 383

eISSN - 1365-8711

pISSN - 0035-8711

DOI - 10.1093/mnras/276.1.115

Subject(s) - physics , lagrangian , classical mechanics , formalism (music) , gravitation , omega , equations of motion , newtonian fluid , cosmological constant , metric expansion of space , cosmology , mathematical physics , dark energy , astrophysics , quantum mechanics , art , musical , visual arts

We present a new formalism which allows to derive the general Lagrangiandynamical equations for the motion of gravitating particles in a non--flatFriedmann universe with arbitrary density parameter $\Omega$ and nocosmological constant. We treat the set of particles as a Newtoniancollisionless fluid. The non--linear dynamical evolution of the fluid elementtrajectories is then described up to the third--order expansion in Lagrangiancoordinates. This work generalizes recent investigations carried out by Bouchet\etal (1992) and Buchert (1994).Comment: 30 pages, Latex, revised version (two appendices are added), to be published in Monthly Notices of the Royal Astronomical Societ

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