Einstein's Other Gravity and the Acceleration of the Universe

Abstract

Spacetime curvature plays the primary role in general relativity but Einstein later considered a theory where torsion was the central quantity. Just as the Einstein-Hilbert action in the Ricci curvature scalar R can be generalized to f(R) gravity, we consider extensions of teleparallel, or torsion scalar T, gravity to f(T) theories. The field equations are naturally second order, avoiding pathologies, and can give rise to cosmic acceleration with unique features.

7 pages, 1 figure; v2 new f(T) model without hidden cosmological constant

References in corpus (4)

• Dark torsion as the cosmic speed-up
• A cosmic vector for dark energy
• Vector field models of modified gravity and the dark sector
• Can Gravity Probe B usefully constrain torsion gravity theories?

Cited by in corpus (14)

• f(R,T) gravity
• Cosmological perturbations in f(T) gravity
• Observational constraints on $f(T)$ theory
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Generalizations of teleparallel gravity and local Lorentz symmetry
• $f(T)$ models with phantom divide line crossing
• Degrees of freedom of $f(T)$ gravity
• Growth factor in f(T) gravity
• Observational information for f(T) theories and Dark Torsion
• Conformal transformation in $f(T)$ theories
• Static Solutions with Spherical Symmetry in f(T) Theories
• Cosmological evolution in exponential gravity
• Emergent universe in chameleon, f(R) and f(T) gravity theories
• Parametrization for the Scale Dependent Growth in Modified Gravity