Existence and stability of relativistic fluid spheres supported by thin shells

Abstract

We propose two models for constant density relativistic perfect-fluid spheres supported by thin shell configurations. These models are obtained from the Schwarzschild constant density star solution: the first via the collapse of the external layers of the fluid into a thin shell by performing a matching with the exterior Schwarzschild solution at a matching radius smaller than the star radius; and the second via the creation of a vacuum bubble inside the star by matching it with an interior Minkowski spacetime. Both models are shown to satisfy both the weak and the strong energy conditions (WEC and SEC) and can have a compactness arbitrarily close to that of a black-hole without developing singularities at the center, thus being exceptions to the Buchdahl limit. We compute the stability regimes of the models proposed and we show that there are combinations of the star radius $R$ and the matching radius $R_{\Sigma }$ for which the solutions are stable, the dominant energy condition (DEC) is satisfied, and the radius of the object is smaller than $3M$, implying that these models could be used as models for dark matter or exotic compact objects.

arXiv comment10 pages, 9 figures

References in corpus (20)

• Tidal Love numbers of neutron stars
• Testing the nature of dark compact objects: a status report
• Is the gravitational-wave ringdown a probe of the event horizon?
• Relativistic theory of tidal Love numbers
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• A Primer on Energy Conditions
• Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity
• Sharp bounds on $2m/r$ of general spherically symmetric static objects
• Stability analysis of dynamic thin shells
• Energy conditions and their cosmological implications
• A Unifying Theory of Dark Energy and Dark Matter: Negative Masses and Matter Creation within a Modified $\Lambda$CDM Framework
• Probing Planckian corrections at the horizon scale with LISA binaries
• Hamiltonian Treatment of the Gravitational Collapse of Thin Shells
• Fundamental thermodynamical equation of a self-gravitating system
• Entropy of an extremal electrically charged thin shell and the extremal black hole
• Entropy of extremal black holes: horizon limits through charged thin shells, a unified approach
• Two worlds collide: Interacting shells in AdS spacetime and chaos
• Unified approach to the entropy of an extremal rotating BTZ black hole: Thin shells and horizon limits
• Thermodynamics of extremal rotating thin shells in an extremal BTZ spacetime and the extremal black hole entropy
• Gravitational collapse of thick domain walls

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• Anisotropic quark stars in $f(R,L_m,T)$ gravity
• Junction conditions for generalized hybrid metric-Palatini gravity with applications
• Observational properties of hot-spots orbiting relativistic fluid spheres
• Energy-Momentum Squared Gravity: A Brief Overview
• Junction conditions of Palatini $f\left(\mathcal{R},T\right)$ gravity
• Anisotropic relativistic fluid spheres with a linear equation of state
• Junction conditions in gravity theories with extra scalar degrees of freedom
• Stability of regular black holes and other compact objects with a charged de Sitter core and a surface matter layer
• Universality of the Buchdahl sphere
• Junction conditions for LRS spacetimes in the $1+1+2$ covariant formalism
• Beyond Buchdahl's limit: bilayered stars and thin-shell configurations
• Stabilizing Spherical Energy Shells with Angular Momentum in Gravitational Backgrounds
• Charged thin shells in unimodular gravity
• Tidal Love numbers of a nonexotic compact object with a thin shell
• Sagittarius A* near-infrared flares polarization as a probe of space-time I: Non-rotating exotic compact objects