Large-scale Structure in f(T) Gravity

Abstract

In this work we study the cosmology of the general f(T) gravity theory. We express the modified Einstein equations using covariant quantities, and derive the gauge-invariant perturbation equations in covariant form. We consider a specific choice of f(T), designed to explain the observed late-time accelerating cosmic expansion without including an exotic dark energy component. Our numerical solution shows that the extra degree of freedom of such f(T) gravity models generally decays as one goes to smaller scales, and consequently its effects on scales such as galaxies and galaxies clusters are small. But on large scales, this degree of freedom can produce large deviations from the standard LCDM scenario, leading to severe constraints on the f(T) gravity models as an explanation to the cosmic acceleration.

13 pages, 3 figures

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Cited by in corpus (152)

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• Generalizations of teleparallel gravity and local Lorentz symmetry
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• Degrees of freedom of $f(T)$ gravity
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• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• Observational Constraints on Teleparallel Dark Energy
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• Anisotropic Universe Models in f(T) Gravity
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• Violation of the first law of black hole thermodynamics in $f(T)$ gravity
• Cosmological perturbations in modified teleparallel gravity models
• Noether Symmetry in $f(T)$ Theory
• New Static Solutions in f(T) Theory
• Dynamics of Teleparallel Dark Energy
• Problems with Propagation and Time Evolution in f(T) Gravity
• Cosmological Perturbation in f(T) Gravity Revisited
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• Hamiltonian formalism for f(T) gravity
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• Accelerating f(T) gravity models constrained by recent cosmological data
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• Some aspects of generalized modified gravity models
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• Energy conditions in $F(T,\Theta )$ gravity and compatibility with a stable de Sitter solution
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• Modified gravity: a unified approach
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• Kerr geometry in f(T) gravity
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• The cosmology in f(R,T) gravity without dark energy
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• Detectability of Torsion Gravity via Galaxy Clustering and Cosmic Shear Measurements
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
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• Noether Symmetry Approach for teleparallel-curvature cosmology
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