Generalizations of teleparallel gravity and local Lorentz symmetry

Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.104030· OSTI ID:21502601

Sotiriou, Thomas P; Barrow, John D ^[1]; Baojiu, Li ^[1]

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1. DAMTP, Centre for Mathematical Sciences, University of Cambridge, Cambridge CB3 0WA (United Kingdom)

We analyze the relation between teleparallelism and local Lorentz invariance. We show that generic modifications of the teleparallel equivalent to general relativity will not respect local Lorentz symmetry. We clarify the reasons for this and explain why the situation is different in general relativity. We give a prescription for constructing teleparallel equivalents for known theories. We also explicitly consider a recently proposed class of generalized teleparallel theories, called f(T) theories of gravity, and show why restoring local Lorentz symmetry in such theories cannot lead to sensible dynamics, even if one gives up teleparallelism.

• OSTI ID: 21502601
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 10; Other Information: DOI: 10.1103/PhysRevD.83.104030; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GENERAL RELATIVITY THEORY
GRAVITATION
LORENTZ INVARIANCE
MODIFICATIONS
QUANTUM GRAVITY
SYMMETRY
FIELD THEORIES
INVARIANCE PRINCIPLES
QUANTUM FIELD THEORY
RELATIVITY THEORY