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Title: Generalizations of teleparallel gravity and local Lorentz symmetry

Abstract

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.

Authors:
;  [1];  [1]
  1. DAMTP, Centre for Mathematical Sciences, University of Cambridge, Cambridge CB3 0WA (United Kingdom)
Publication Date:
OSTI Identifier:
21502601
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 83; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.83.104030; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Sotiriou, Thomas P, Barrow, John D, Baojiu, Li, and Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA. Generalizations of teleparallel gravity and local Lorentz symmetry. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.104030.
Sotiriou, Thomas P, Barrow, John D, Baojiu, Li, & Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA. Generalizations of teleparallel gravity and local Lorentz symmetry. United States. https://doi.org/10.1103/PHYSREVD.83.104030
Sotiriou, Thomas P, Barrow, John D, Baojiu, Li, and Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA. 2011. "Generalizations of teleparallel gravity and local Lorentz symmetry". United States. https://doi.org/10.1103/PHYSREVD.83.104030.
@article{osti_21502601,
title = {Generalizations of teleparallel gravity and local Lorentz symmetry},
author = {Sotiriou, Thomas P and Barrow, John D and Baojiu, Li and Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.83.104030},
url = {https://www.osti.gov/biblio/21502601}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 10,
volume = 83,
place = {United States},
year = {Sun May 15 00:00:00 EDT 2011},
month = {Sun May 15 00:00:00 EDT 2011}
}