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The only allowed source of the gravitational field in the unimodular theory, invariant under area-preserving (transverse) diffeomorphisms as well as Weyl transformations, is just the traceless piece of the energy-momentum tensor.
A. Einstein, Siz. Preuss. Acad. Scis. (1919); English translation in The Principle of Relativity
1919
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R. L. Arnowitt, S. Deser and C. W. Misner, “Canonical variables for general relativity,” Phys. Rev. 117
1960
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V.I. Arnold, ”Mathematical methods of classical Mechanics” (Springer, Bonn, 1978)
1978
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W. G. Unruh, “A Unimodular Theory Of Canonical Quantum Gravity,” Phys. Rev. D 40
1989
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I. Jack and H. Osborn, “Analogs For The C Theorem For Four-dimensional Renormalizable Field Theories,” Nucl. Phys. B 343
1990
Cited alongside, same era.
F. Wilczek, “Riemann-Einstein structure from volume and gauge symmetry,” Phys. Rev. Lett. 80
1998
Cited alongside, same era.
E. Alvarez, D. Blas, J. Garriga and E. Verdaguer, “Transverse Fierz-Pauli symmetry,” Nucl. Phys. B 756
2006
Cited alongside, same era.
J. J. van der Bij, H. van Dam and Y. J. Ng, “Theory Of Gravity And The Cosmological Term: The Little Group Viewpoint,” IFP-165-UNC
Cited in the paper.
Cited in the paper.
Cited in the paper.
N. Dragon and A. Kreuzer, ”Quantization of restricted gravity”, Z. Phys. C41 (1988) 485. E. Alvarez and J. J. Lopez-Villarejo, “BRST analysis of unimodular theories,” AIP Conf. Proc. 841
2006
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