Static Anisotropic Solutions in f(T) Theory

Details Static Anisotropic Solutions in f(T) Theory Static Anisotropic Solutions in f(T) Theory

2011-09-02

arxiv.org/abs/1109.0528v4

Euro. Phys. J. C 72, 1890 (2012)

Physics

General Physics

23 pages, Published in Euro. Phys. J. C

Scientific paper

10.1140/epjc/s10052-012-1890-8

In a previously work, we undertook a static and anisotropic content in $f(T)$ theory and obtained new spherically symmetric solutions considering a constant torsion and some particular conditions for the pressure. In this paper, still in the framework of $f(T)$ theory, new spherically symmetric solutions are obtained, first considering the general case of an isotropic fluid and later the anisotropic content case in which the generalized conditions for the matter content are considered such that the energy density, the radial and tangential pressures depend on the algebraic $f(T)$ and its derivative $f_{T}(T)$. Moreover, we obtain the algebraic function $f(T)$ through the reconstruction method for two cases and also study a polytropic model for the stellar structure.

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