In pressureless quantum polytropes, positive pressure anisotropy compresses the structure and stronger gravity weakens binding, opposite to classical polytrope behavior.
Relativistic stars with polytropic equation of state
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abstract
We consider the Einstein-Maxwell system of equations in the context of isotropic coordinates for matter distributions with anisotropy in the presence of an electric field. We assume a polytropic equation of state for the matter configuration. New classes of exact solutions are generated for different polytropic indices. The model is well behaved and we can regain masses of several observed objects, in particular we obtain the mass of the star PSR J1903+327.
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Anisotropic quantum polytropes
In pressureless quantum polytropes, positive pressure anisotropy compresses the structure and stronger gravity weakens binding, opposite to classical polytrope behavior.