منابع مشابه
Post-newtonian Cosmology
Newtonian Cosmology is commonly used in astrophysical problems, because of its obvious simplicity when compared with general relativity. However it has inherent difficulties, the most obvious of which is the non-existence of a well-posed initial value problem. In this paper we investigate how far these problems are met by using the post-Newtonian approximation in cosmology.
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Both for the background world model and its linear perturbations Newtonian cosmology coincides with the zero-pressure limits of relativistic cosmology. However, such successes in Newtonian cosmology are not purely based on Newton’s gravity, but are rather guided ones by previously known results in Einstein’s theory. The action-at-a-distance nature of Newton’s gravity requires further verificati...
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Definitions of non-relativistic conformal transformations are considered both in the Newton-Cartan and in the Kaluza-Klein-type Eisenhart/Bargmann geometrical frameworks. The symmetry groups that come into play are exemplified by the cosmological, and also the Newton-Hooke solutions of Newton’s gravitational field equations. It is shown, in particular, that the maximal symmetry group of the sta...
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It is shown that the infinite energy density of zero-point radiation can be renormalized to a finite value, K c o ρ 2 , where K o ρ is the inertial mass density corresponding to gravitational mass density ρ o , by inclusion of gravitational self-potential energy, provided that 4 2 π ρ G R o = 3 2 Kc , which is the condition that K c o ρ 2 closes the universe at radius R. When material mass m * ...
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The basic equations describing a Newtonian universe with uniform pressure are reexamined. We argue that in the semi-classical formulation adopted in the literature the continuity equation has a misleading pressure gradient term. When this term is removed, the resulting equations give the same homogeneous background solutions with pressure and the same evolution equation for the density contrast...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 1996
ISSN: 0035-8711,1365-2966
DOI: 10.1093/mnras/282.1.206