Remnant Symmetry, Propagation and Evolution in f(T) Gravity

Abstract

It was recently argued that f(T) gravity could inherit "remnant symmetry" from the full Lorentz group, despite the fact that the theory is not locally Lorentz invariant. Confusion has arisen regarding the implication of this result for the previous works, which established that f(T) gravity is pathological due to superluminal propagation, local acausality, and non-unique time evolution. We clarify that the existence of the "remnant group" does not rid the theory of these various problems, but instead strongly supports it.

arXiv commentFixed typo. Version accepted by PRD

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• Bounce inflation in $f(T)$ Cosmology: A unified inflaton-quintessence field
• Hamiltonian formalism for f(T) gravity
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• Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis
• Modified gravity: a unified approach
• Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants
• Hamiltonian and primary constraints of new general relativity
• Foundational issues in f(T) gravity theory
• Scalar-torsion theories of gravity I: general formalism and conformal transformations
• Model-independent limits and constraints on extended theories of gravity from cosmic reconstruction techniques
• Quest for the extra degree of freedom in f(T) gravity
• General relativity as an attractor for scalar-torsion cosmology
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• Higgs inflation and teleparallel gravity
• Thermodynamic properties of modified gravity theories
• Counting Components in the Lagrange Multiplier Formulation of Teleparallel Theories
• Post-Newtonian limit of scalar-torsion theories of gravity as analogue to scalar-curvature theories
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• On Conserved Quantities for the Schwarzschild Black Hole in Teleparallel Gravity
• Violation of causality in $f(T)$ gravity
• Inflation with teleparallelism: Can torsion generate primordial fluctuations without local Lorentz symmetry?
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• Phase Space description of Nonlocal Teleparallel Gravity
• Noether symmetry in a nonlocal f(T) Gravity
• A geometric view on local Lorentz transformations in teleparallel gravity
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• Degrees of Freedom in modified Teleparallel Gravity
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