Degrees of freedom and Hamiltonian formalism for $f(T)$ gravity

Abstract

The existence of an extra degree of freedom (d.o.f.) in $f(T)$ gravity has been recently proved by means of the Dirac formalism for constrained Hamiltonian systems. We will show a toy model displaying the essential feature of $f(T)$ gravity, which is the pseudoinvariance of T under a local symmetry, to understand the nature of the extra d.o.f.

arXiv comment4 pages, no figures, to appear in the conference proceedings of the 10th Alexander Friedmann International Seminar on Gravitation and Cosmology, International Journal of Modern Physics A, World Scientific Publishing Company

References in corpus (4)

• Modified teleparallel gravity: inflation without inflaton
• Hamiltonian formalism for f(T) gravity
• Quest for the extra degree of freedom in f(T) gravity
• McVittie solution in f(T) gravity

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• Field transformations and invariant quantities in scalar-teleparallel theories of gravity
• Spatially homogeneous teleparallel spacetimes with four-dimensional groups of motions
• Post-Newtonian limit of generalized scalar-teleparallel theories of gravity