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Absence of Relativistic Stars in f(T) Gravity

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arxiv 1103.2225 v4 pith:PW22I25W submitted 2011-03-11 gr-qc

classification gr-qc
keywords gravitymodelsneutronpossiblerelativisticstarsabsenceanalyzing
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In this work we investigate the structure of neutron stars in modified f(T) gravity models. We find that, unlike the f(R) models, the equations of motion put a rather strict constraint on the possible f(T) functions. Specifically, after analyzing the problem in two different choice of coordinates with spherical symmetry, we conclude that the relativistic neutron star solution in f(T) gravity models is possible only if f(T) is a linear function of the torsion scalar T, that is in the case of Teleparallel Equivalent of General Relativity.

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  1. $f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom

    gr-qc 2025-02 conditional novelty 6.0 of 10

    By perturbing f(T) gravity around FLRW and Bianchi I spacetimes, the authors find that only the two gravitational-wave polarizations propagate in the gravity sector.

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