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Static Anisotropic Solutions to Einstein Equations with a Nonlocal Equation of State

H. Hernández·L. A. Núñez
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Abstract

We present a general method to obtain static anisotropic spherically symmetric solutions, satisfying a nonlocal equation of state, from known density profiles. This equation of state describes, at a given point, the components of the corresponding energy-momentum tensor not only as a function at that point, but as a functional throughout the enclosed configuration. In order to establish the physical aceptability of the proposed static family of solutions satisfying nonlocal equation of state,\textit{}we study the consequences imposed by the junction and energy conditions for anisotropic fluids in bounded matter distribution. It is shown that a general relativistic spherically symmetric bounded distributions of matter, at least for certain regions, could satisfy a nonlocal equation of state.

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H. Hernández, L. A. Núñez. 2000-12-05. Static Anisotropic Solutions to Einstein Equations with a Nonlocal Equation of State. https://arxiv.org/abs/gr-qc/0012019

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