Tensor gauge condition and tensor field decomposition

  title={Tensor gauge condition and tensor field decomposition},
  author={Xiang-Song Chen and Benshi Zhu},
  journal={arXiv: General Relativity and Quantum Cosmology},
We discuss various proposals of separating a tensor field into pure-gauge and gauge-invariant components. Such tensor field decomposition is intimately related to the effort of identifying the real gravitational degrees of freedom out of the metric tensor in Einstein's general relativity. We show that, as for a vector field, the tensor field decomposition has exact correspondence to, and can be derived from, the gauge-fixing approach. The complication for the tensor field, however, is that… 

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