Static anisotropic solutions in f(T) theory

By M. Daouda, M. Rodrigues, M. Houndjo. 2011

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In previous work, we undertook to study 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 fT(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.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/468b706e8c2234ed75218d0fc372dceddaefb242

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Citations in the corpus

Solar system constraints on f(T) gravity (2012, methodology): “…Setare & Houndjo (2012), Liuet al. (2012), Wu & Yu (2010b), Bengochea (2011), Gonzalez et al. (2012), Daouda et al. (2011), Daouda et al. (2012a), Boehmeret al (2011), Daouda et al. (2012b), Ferraro & Fiorini (2011c), Wang (2011), Miao et al. (2011), Wei et al (2012), Ferraro & Fiorini (2011b)).”
f(T) teleparallel gravity and cosmology (2015, methodology): “We stress that, in this way, we obtain new solutions, that could not be obtained by the standard methods applied in [264, 265, 459, 522, 538].”