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2012

Linking Covariant and Canonical General Relativity via Local Observers

Gielen, Steffen, Wise, Derek K.

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Hamiltonian gravity, relying on arbitrary choices of "space," can obscure spacetime symmetries.

We present an alternative, manifestly spacetime covariant formulation that nonetheless distinguishes between "spatial" and "temporal" variables.
The key is viewing dynamical fields from the perspective of a field of observers -- a unit timelike vector field that also transforms under local Lorentz transformations.
On one hand, all fields are spacetime fields, covariant under spacetime symmeties.

Linking Covariant and Canonical General Relativity via Local Observers · Around

Built on

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Then

J. Barbour, Shape dynamics. An introduction, to appear in proceedings of the conference Quantum Field Theory and Gravity (Regensburg, 2010), arXiv:1105.0183 ; H. Gomes, S. Gryb, and T. Koslowski, Einstein gravity as a 3D conformally invariant theory, Class. Quant. Grav
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2011
Later among the works it cites.
G. Amelino-Camelia, L. Freidel, J. Kowalski-Glikman, and L. Smolin, Relative locality: a deepening of the relativity principle, Second Prize in the 2011 Essay Competition of the Gravity Research Foundation, arXiv:1106.0313
Original
2011
Later among the works it cites.
S. Gielen and D. K. Wise, Spontaneously broken Lorentz symmetry for Hamiltonian gravity, Phys. Rev. D
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2012
Closest in time.
D. K. Wise, The geometric role of symmetry breaking in gravity, J. Phys.: Conf. Ser
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2012
Closest in time.

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