Transverse Fierz–Pauli symmetry

By E. Álvarez, D. Blas, J. Garriga, E. Verdaguer. 2006

196 citations recorded by the source corpus.

Abstract We consider some flat space theories for spin 2 gravitons, with less invariance than full diffeomorphisms. For the massless case, classical stability and absence of ghosts require invariance under transverse diffeomorphisms ( TDiff ) , h μ ν ↦ h μ ν + 2 ∂ ( ν ξ μ ) , with ∂ μ ξ μ = 0 . Generic TDiff invariant theories contain a propagating scalar, which disappears if the symmetry is enhanced in one of two ways. One possibility is to consider full diffeomorphisms ( Diff ) . The other (which we denote WTDiff) adds a Weyl symmetry, by which the Lagrangian becomes independent of the trace. The first possibility corresponds to General Relativity, whereas the second corresponds to “unimodular” gravity (in a certain gauge). Phenomenologically, both options are equally acceptable. For massive gravitons, the situation is more restrictive. Up to field redefinitions, classical stability and absence of ghosts lead directly to the standard Fierz–Pauli Lagrangian. In this sense, the WTDiff theory is more rigid against deformations than linearized GR, since a mass term cannot be added without provoking the appearance of ghosts.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/90b3b945d218d3ca8b0365c2c38f5880487ba13d

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Citations in the corpus

The Geometrical Trinity of Gravity (2019, background): “, [21]), which differs from GR in the appearance of a cosmological constant as an integration constant.”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, unknown): “See [126] for useful discussions on this.”