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Relativistic polytropic equations of state in Hov{r}ava gravity and Einstein-ae ther theory

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arxiv 1808.00974 v1 pith:DXFFFQZW submitted 2018-08-02 gr-qc hep-th

Relativistic polytropic equations of state in Hov{r}ava gravity and Einstein-ae ther theory

classification gr-qc hep-th
keywords equationsstateanisotropicconsidereddensityexactgravityinterior
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The equations of state for a characteristic spacetime are studied in the context of the spherically symmetric interior exact and analytical solutions in Horava gravity and Einstein-aether theory in which anisotropic fluids are considered. In particular, for a given anisotropic interior solution, the equations of state relating the density to the radial and tangential pressure are derived, by means of a polynomial best-fit. Moreover, the well-known relativistic polytropic equations of state are used in order to obtain the profile of the thermodynamical quantities inside the stellar object as provided by the specific exact solution considered. It is then shown that these equations of state need to be modified in order to account for the profiles of density and pressures.

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    Three families of static spherically symmetric black-hole solutions in Hořava/Einstein-æther theory are generated from chosen linear equations of state, yielding RN-like, extremal degenerate-horizon, and repulsive-pot...