Lagrangian dynamics in nonflat universes and nonlinear gravitational evolution - INSPIRE

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Lagrangian dynamics in nonflat universes and nonlinear gravitational evolution

Paolo Catelan
(
- Oxford U.
)

Jun 10, 1994

24 pages

Published in:

Mon.Not.Roy.Astron.Soc. 276 (1995) 115

e-Print:

astro-ph/9406016 [astro-ph]

DOI:

10.1093/mnras/276.1.115

Report number:

OUAST-94-19

View in:

ADS Abstract Service

reference search124 citations

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Abstract: (arXiv)

We derive the general Lagrangian dynamical equations for the motion of gravitating particles in a non--flat universe with arbitrary density parameter \Om and no cosmological constant. We treat the set of particles as a Newtonian collisionless fluid. The non--linear dynamical evolution of the fluid element trajectories is then described up to the third--order expansion in Lagrangian coordinates. This work generalizes recent investigations carried out by Bouchet \etal (1992) and Buchert (1994).

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Figures(0)

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