Collapsing Spheres Satisfying An "Euclidean Condition"

Details Collapsing Spheres Satisfying An "Euclidean Condition" Collapsing Spheres Satisfying An "Euclidean Condition"

2009-07-13

arxiv.org/abs/0907.2253v2

Gen. Rel. Grav. 42, (2010), 2383-2391

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

1o pages, Latex. Title changed and text shortened to fit the version to appear in Gen.Rel.Grav.

Scientific paper

We study the general properties of fluid spheres satisfying the heuristic assumption that their areas and proper radius are equal (the Euclidean condition). Dissipative and non-dissipative models are considered. In the latter case, all models are necessarily geodesic and a subclass of the Lemaitre-Tolman-Bondi solution is obtained. In the dissipative case solutions are non-geodesic and are characterized by the fact that all non-gravitational forces acting on any fluid element produces a radial three-acceleration independent on its inertial mass.

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