On the covariance of teleparallel gravity theories

By A. Golovnev, Tomi Koivisto, M. Sandstad. 2017

188 citations recorded by the source corpus.

The basics of teleparallel gravity and its extensions are reviewed with particular emphasis on the problem of the Lorentz-breaking choice of connection in pure-tetrad versions of the theories. Various possible ways to covariantise such models are discussed. A by-product is a new form of f(T) field equations.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/98e5e91ba0daecfa7afbfeb77576aa2dfb02e079

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Citations in the corpus

The Geometrical Trinity of Gravity (2019, background): “This formulation was introduced in [11] and the physical interpretation of the purely inertial spin connection determined by the matrix Λb was clarified in the recent review [12].”
Nonmetricity formulation of general relativity and its scalar-tensor extension (2018, background): “[10] Alexey Golovnev, Tomi Koivisto, and Marit Sandstad, “On the covariance of teleparallel gravity theories,” Class.”
Teleparallel Palatini theories (2018, methodology): “The situation is analogous with the usual teleparallel torsion theories, where though the inertial connection could be set to zero by a suitable Lorentz transformation, the additional degrees of freedom decouple from the theory only when the action supports an additional Lorentz symmetry so that the”
Teleparallel theories of gravity: illuminating a fully invariant approach (2018, methodology): “It is also possible to show that the constrained variational principle, where the teleparallel condition is implemented using the method of Lagrange multipliers, leads exactly to the same result [28].”
Cosmological perturbations in modified teleparallel gravity models (2018, background): “We will take the classical route of working with zero spin connection in f(T ) (pure tetrad formulation) because the covariantisation [19, 20], though important at the foundational level, introduces new variables without changing physical predictions which is impractical for our current purposes.”