Stability of mass varying particle lumps

Abstract

The theoretical description of compact structures that share some key features with mass varying particles allows for a simple analysis of equilibrium and stability for massive stellar bodies. We investigate static, spherically symmetric solutions of Einstein equations for a system composed by nonbaryonic matter (neutrinos or dark matter) which forms stable structures through attractive forces mediated by a background scalar-field (dark energy). Assuming that the dark matter, or massive neutrinos, consist of a gas of weakly interacting particles, the coupling with the scalar field is translated into an effective dependence of the mass of the compounding particle on the radial coordinate of the curved spacetime. The stability analysis reveals that these static solutions become dynamically unstable for different Buchdahl limits of the ratio between the total mass-energy and the stellar radius, $M/R$. We also find regular solutions that for an external observer resemble Schwarzschild black-holes. Our analysis leaves unanswered the question whether such solutions, which are both regular and stable, do exist.

26 pages, 7 figures

References in corpus (13)

• Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
• Growing Matter
• Growing neutrinos and cosmological selection
• Adiabatic instability in coupled dark energy-dark matter models
• Neutrino Dark Energy -- Revisiting the Stability Issue
• Neutrino clustering in growing neutrino quintessence
• Limit on the Neutrino Mass from the WMAP Three Year Data
• WMAP5 constraints on the unified model of dark energy and dark matter
• The Higgs portal and an unified model for dark energy and dark matter
• Cosmological neutrino mass detection: The best probe of neutrino lifetime
• Model independent constraints on mass-varying neutrino scenarios
• Coupling dark energy with Standard Model states
• Cosmon Lumps and Horizonless Black Holes

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