Ultracompact stars with multiple necks

Abstract

We discuss ultracompact stellar objects which have multiple necks in their optical geometry. There are in fact physically reasonable equations of state for which the number of necks can be arbitrarily large. The proofs of these statements rely on a recent regularized formulation of the field equations for static spherically symmetric models due to Nilsson and Uggla. We discuss in particular the equation of state p=ρ-ρ_s which plays a central role in this context.

5 pages, 2 figures

References in corpus (4)

• General Relativistic Stars : Polytropic Equations of State
• Critical phenomena in perfect fluids
• General Relativistic Stars: Linear Equations of State
• Trapped gravitational wave modes in stars with R>3M

Cited by in corpus (7)

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• Spherically symmetric relativistic stellar structures
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• Thermodynamics of quantum photon spheres
• Fermion self-trapping in the optical geometry of Einstein-Dirac solitons
• Gravitational Lensing from a Spacetime Perspective
• Compact stellar objects with multiple neck optical geometries