Constraining $f(T)$ Theories with the Varying Gravitational Constant

Abstract

As is well known, a varying effective gravitational "constant" is one of the common features of most modified gravity theories. Of course, as a modified gravity theory, $f(T)$ theory is not an exception. Noting that the observational constraint on the varying gravitational "constant" is very tight, in the present work we try to constrain $f(T)$ theories with the varying gravitational "constant". We find that the allowed model parameter $n$ or $\beta$ has been significantly shrunk to a very narrow range around zero. In fact, the results improve the previous constraints by an order of magnitude.

10 pages, 2 tables, 2 figures, revtex4; v2: discussions added, Eur. Phys. J. C in press; v3: published version. arXiv admin note: text overlap with arXiv:1106.0102

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• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
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• New observational constraints on f(T) gravity from cosmic chronometers
• Problems with Propagation and Time Evolution in f(T) Gravity
• Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity
• Cosmological Applications of Pade Approximant
• Primordial Fluctuations within Teleparallelism
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• Higher order corrections of the extended Chaplygin gas cosmology with varying $G$ and $\Lambda$
• A Built-in Inflation in the $f(T)$-Cosmology
• Phase Portraits of general f(T) Cosmology
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• Matter Density Perturbations in Modified Teleparallel Theories
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• Can $f(T)$ gravity theories mimic $\Lambda$CDM cosmic history
• Generalized Teleparallel Gravity Via Some Scalar Field Dark Energy Models
• Nonlinear Electrodynamics in $f(T)$ Gravity and Generalized Second Law of Thermodynamics
• Cosmological viability conditions for $f(T)$ dark energy models
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Phenomenological Varying Modified Chaplygin Gas with Variable $G$ and $\Lambda$: Toy Models for Our Universe
• Spherical collapse model and cluster number counts in power law $f(T)$ gravity
• Evaporation phenomena in f(T) gravity
• $f(T)$ non-linear massive gravity and the cosmic acceleration
• Charged Anti-de Sitter BTZ black holes in Maxwell-$f(T)$ gravity
• Hojman Symmetry in $f(T)$ Theory
• Stability of Differentially Rotating Disks in $f(T)$ Theory