Constructing stellar objects with multiple necks

Details Constructing stellar objects with multiple necks Constructing stellar objects with multiple necks

2000-09-22

arxiv.org/abs/gr-qc/0009079v2

Class.Quant.Grav.18:817-832,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 7 figures, slightly revised version

Scientific paper

10.1088/0264-9381/18/5/305

We discuss the construction of perfect fluid stellar objects having optical geometries with multiple necks corresponding to spatially closed unstable lightlike geodesics. We prove that there exist physically reasonable models with arbitrarily many necks. We also show how a first order phase transition can give rise to quite pronounced secondary double necks. The analysis is carried out using a modification of a recent dynamical systems formulation of the TOV equations due to Nilsson and Uggla. Our reformulation allows for a very general family of equations of state including, for example, phase transitions.

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