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Anisotropic ultracompact Schwarzschild star by gravitational decoupling
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abstract
We employ the minimal geometric deformation approach to gravitational decoupling (MGD-decoupling) in order to generate an exact anisotropic and non-uniform version of the ultracompact Schwarzschild star, or 'gravastar', proposed by Mazur and Mottola. This new system represents an ultracompact configuration of radius $R_{S}=2\cal{M}$ whose interior metric can be matched smoothly to a conformally deformed Schwarzschild exterior. Remarkably, the model satisfies some of the basic requirements to describe a stable stellar model, such as a positive density everywhere and decreasing monotonously from the centre, as well as a non-uniform and monotonic pressure.
Forward citations
Cited by 3 Pith papers
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Isotropization and change of complexity by gravitational decoupling
A gravitational decoupling technique that continuously isotropizes anisotropic stellar solutions and generates new solutions with controlled complexity factor, demonstrated on two exact examples.
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Minimal Geometric Deformation in a Reissner-Nordstr\"om background
New exact Reissner-Nordström black hole solutions are built via minimal geometric deformation with a linear equation of state in the added source.
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Anisotropic neutron stars by gravitational decoupling
Starting from a known perfect-fluid neutron star model, the paper constructs anisotropic versions via minimal geometric deformation and finds that the least compact models (SAX J1808.4-3658 and Her X-1) are the most stable.
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