Absence of Relativistic Stars in f(T) Gravity
General Relativity and Quantum Cosmology
2015-09-11 v4
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.
Keywords
Cite
@article{arxiv.1103.2225,
title = {Absence of Relativistic Stars in f(T) Gravity},
author = {Cemsinan Deliduman and Baris Yapiskan},
journal= {arXiv preprint arXiv:1103.2225},
year = {2015}
}
Comments
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