Absence of Relativistic Stars in f(T) Gravity

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.

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

References in corpus (7)

• Accelerating universe from F(T) gravity
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Non trivial frames for f(T) theories of gravity and beyond
• Constraints on Perturbative f(R) Gravity via Neutron Stars
• Static Solutions with Spherical Symmetry in f(T) Theories
• New types of $f(T)$ gravity
• Translation of Einstein's Attempt of a Unified Field Theory with Teleparallelism

Cited by in corpus (19)

• f(T) teleparallel gravity and cosmology
• Accelerating universe from F(T) gravity
• Good and bad tetrads in f(T) gravity
• Degrees of freedom of $f(T)$ gravity
• Phase-Space analysis of Teleparallel Dark Energy
• Thermodynamics of cosmological horizons in $f(T)$ gravity
• Violation of the first law of black hole thermodynamics in $f(T)$ gravity
• New Static Solutions in f(T) Theory
• A special exact spherically symmetric solution in f(T) gravity theories
• Relativistic compact stars in $f(T)$ gravity admitting conformal motion
• Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity
• Finite-time future singularities models in $f(T)$ gravity and the effects of viscosity
• Teleparallel dark energy model with a fermionic field via Noether symmetry
• Inhomogeneous Universe in f(T) Theory
• Anisotropic Quintessence Strange Stars in f(T) Gravity with Modified Chaplygin Gas
• Evaporation phenomena in f(T) gravity
• Regularization of $f(T)$ gravity theories and local Lorentz transformation
• Anisotropic compact stars in f(T) gravity under Karmarkar condition
• Is torsion needed in a theory of gravity? A reappraisal