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Anisotropic fluid spheres in Hov{r}ava gravity and Einstein-ae ther theory with a non-static ae ther

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arxiv 1906.07738 v2 pith:5FMMQNQX submitted 2019-06-18 gr-qc hep-th

Anisotropic fluid spheres in Hov{r}ava gravity and Einstein-ae ther theory with a non-static ae ther

classification gr-qc hep-th
keywords anisotropicfieldfluidgravityinteriormetricnon-statictheory
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In this paper we consider spherically symmetric interior spacetimes filled by anisotropic fluids in the context of Ho\v{r}ava gravity and Einstein-aether theory. We assume a specific non-static configuration of the aether vector field and show that the field equations admit a family of exact analytical solutions which can be obtained if one of the two metric coefficients is assigned. We study as an illustrative example the case in which the metric of the interior spacetime reproduces the Newtonian potential of a fluid sphere with constant density.

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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...