Global SSS space-time models

Details Global SSS space-time models Global SSS space-time models

2011-11-21

arxiv.org/abs/1111.4943v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages

Scientific paper

We discuss Global Static Spherically Symmetric space-time models of mass $m$ with regular sources at the origin and asymptotically Minkowskian behavior at infinity; the interior model and the exterior one being matched at the radius $R$ of the source in the sense of Lichnerowicz. The global models depend in general on $R$ through a function $Q$ of $m$ and $R$. Although $R$ would be an spurious parameter if the exterior model was considered alone, it becomes intrinsic for the global model. The physical implication is that $R$ as well as $m$ determine, at some order of approximation, the dynamics of orbiting objects or viceversa that this dynamics puts conditions on the physical state of the source.

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