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Degrees of freedom of f(T) gravity

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Abstract

We investigate the Hamiltonian formulation of f(T) gravity and find that there are five degrees of freedom. The six first class constraints corresponding to the local Lorentz transformation in Teleparallel gravity become second class constraints in f(T) gravity, which leads to the appearance of three extra degrees of freedom and the violation of the local Lorentz invariance in f(T) gravity. In general, there are D − 1 extra degrees of freedom for f(T) gravity in D dimensions, and this implies that the extra degrees of freedom correspond to one massive vector field or one massless vector field with one scalar field.

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Authors and Affiliations

  1. Kavli Institute for Theoretical Physics, Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    Miao Li

  2. Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui, 230026, People’s Republic of China

    Rong-Xin Miao

  3. School of Physics, Nankai University, Tianjin, 300071, People’s Republic of China

    Yan-Gang Miao

Authors
  1. Miao Li
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  2. Rong-Xin Miao
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  3. Yan-Gang Miao
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Correspondence to Rong-Xin Miao.

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ArXiv ePrint: 1105.5934

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Li, M., Miao, RX. & Miao, YG. Degrees of freedom of f(T) gravity. J. High Energ. Phys. 2011, 108 (2011). https://doi.org/10.1007/JHEP07(2011)108

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  • DOI: https://doi.org/10.1007/JHEP07(2011)108

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