Matter stability in modified teleparallel gravity

Abstract

We study the matter stability in modified teleparallel gravity or $f(T)$ theories. We show that there is no Dolgov-Kawasaki instability in these types of modified teleparallel gravity theories. This give the $f(T)$ theories a great advantage over their $f(R)$ counterparts because from the stability point of view there isn't any limit on the form of functions that can be chosen.

12 pages, one eps figure, Final Revised Version

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Cited by in corpus (20)

• f(T) teleparallel gravity and cosmology
• Viable f(T) models are practically indistinguishable from LCDM
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Anisotropic Universe Models in f(T) Gravity
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Energy conditions in $F(T,\Theta )$ gravity and compatibility with a stable de Sitter solution
• Dynamical Stability Analysis of Accelerating f(T) Gravity Models
• A Built-in Inflation in the $f(T)$-Cosmology
• FRW in quadratic form of $f(T)$ gravitational theories
• Holographic f(T)-gravity model with power-law entropy correction
• Generalized Noether symmetry in f(T) gravity
• Matter Density Perturbations in Modified Teleparallel Theories
• Geodesic Deviation Equation in $f(T)$ gravity
• Planar Symmetry in f(T) gravity
• On Reconstruction of Extended Teleparallel Gravity from the Cosmological Jerk Parameter
• Evaporation phenomena in f(T) gravity
• f(T) Quantum Cosmology
• Cosmological dynamics of a non-minimally coupled bulk scalar field in DGP setup
• KK-number non-conserving decays: Signal of n = 2 excitations of Extra-Dimensional Models at the LHC
• Quantum cosmology in teleparallel gravity with a boundary term