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Absence of Relativistic Stars in f(T) Gravity

2011/03/11 by Cemsinan Deliduman, Deliduman, Cemsinan, Barış Yapışkan +2 · 2 citations
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #gr-qc

paper · pdf · doi:10.48550/arxiv.1103.2225

10 pages, v3: a new section about the case of a non-diagonal frame is added, v4: revised the discussion, however main conclusion is unaltered

arxiv created 2015/09/10 · arxiv updated 2015/09/11

Abstract

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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