The issue of Branched Hamiltonian in F(T) Teleparallel Gravity

Abstract

As in the case of Lanczos-Lovelock gravity, the main advantage of F(T) gravity is said to be that it leads to second order field equations, while F(R) gravity theory leads to fourth order equations. We show that it is rather a disadvantage, since it leads to the unresolved issue of `Branched Hamiltonian'. The problem is bypassed in F(R,T) gravity theory.

12 pages, 0 figures

References in corpus (12)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Degrees of freedom of $f(T)$ gravity
• Observational information for f(T) theories and Dark Torsion
• Transient Crossing of Phantom divide line $w_{\Lambda }=-1$ under Gauss-Bonnet interaction
• Inflation with F(T) Teleparallel Gravity
• Hamiltonian description of singular Lagrangian systems with spontaneously broken time translation symmetry
• Canonical formulation of scalar curvature squared action in higher dimensions
• Early universe in view of a modified theory of gravity
• Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity

Cited by in corpus (1)

• Probing symmetric teleparallel gravity in the early universe