The True radiation gauge for gravity

Jun, 2010
10 pages
Published in:
  • Phys.Rev.D 83 (2011) 061501
e-Print:

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Abstract: (arXiv)
Corresponding to the similarity between the Lorentz gauge μAμ=0\partial_\mu A^\mu=0 in electrodynamics and gμνΓμνρ=0g^{\mu\nu}\Gamma^\rho_{\mu\nu}=0 in gravity, we show that the counterpart of the radiation gauge iAi=0\partial_iA^i=0 is gijΓijρ=0g^{ij}\Gamma^\rho_{ij}=0, in stead of other forms as discussed before. Particularly: 1) at least for a weak field, gijΓijρ=0g^{ij}\Gamma^\rho_{ij}=0 fixes the gauge completely and picks out exactly the two physical components of the gravitational field/ 2) like A0A^0, the non-dynamical components h0μh_{0\mu} are solved instantaneously/ 3) gravitational radiation is generated by the 'transverse' part of the energy-momentum tensor, similar to the transverse current J\vec J_\perp. This true' radiation gauge gijΓijρ=0g^{ij}\Gamma^\rho_{ij}=0 is especially pertinent for studying gravitational energy, such as the energy flow in gravitational radiation. It agrees with the transverse-traceless (TT) gauge for a pure wave, and reveals remarkably how the TT gauge can be adapted in the presence of source.
  • 11.15.-q
  • 04.20.Cv
  • gravitation: energy
  • gravitation: gauge field theory
  • energy flow
  • weak field
  • Lorentz gauge
  • transformation: gauge