An exact Lagrangian integral for the Newtonian gravitational field strength

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dc.creatorBuchert, Thomas
dc.date2005-08-15
dc.date2006-01-23
dc.date.accessioned2026-07-07T06:41:59Z
dc.date.available2026-07-07T06:41:59Z
dc.descriptionAn exact expression for the gravitational field strength in a self-gravitating dust continuum is derived within the Lagrangian picture of continuum mechanics. From the Euler-Newton system a transport equation for the gravitational field strength is formulated and then integrated along trajectories of continuum elements. The resulting integral solves one of the Lagrangian equations of the corresponding Lagrange-Newton system in general. Relations to known exact solutions without symmetry in Newtonian gravity are discussed. The presented integral may be employed to access the non-perturbative regime of structure formation in Newtonian cosmology, and to apply iterative Lagrangian schemes to solve the Lagrange-Newton system.
dc.description15 pages, section on applications added; matches published version in Phys.Lett.A
dc.identifierhttps://arxiv.org/abs/gr-qc/0508059
dc.identifierhttp://arxiv.org/abs/gr-qc/0508059
dc.identifierPhys.Lett. A354 (2006) 8-14
dc.identifierdoi:10.1016/j.physleta.2006.01.045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101877
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectMathematical Physics
dc.titleAn exact Lagrangian integral for the Newtonian gravitational field strength
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