1109.0528 (M. Hamani Daouda et al.)

Static Anisotropic Solutions in f(T) Theory    [PDF]

M. Hamani Daouda, Manuel E. Rodrigues, M. J. S. Houndjo

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.

View original: http://arxiv.org/abs/1109.0528