Partially Massless Graviton on Beyond Einstein Spacetimes
Abstract
We show that a partially massless graviton can propagate on a large set of spacetimes which are not Einstein spacetimes. Starting from a recently constructed theory for a massive graviton that propagates the correct number of degrees of freedom on an arbitrary spacetime, we first give the full explicit form of the scalar constraint responsible for the absence of a sixth degree of freedom. We then spell out generic conditions for the constraint to be identically satisfied, so that there is a scalar gauge symmetry which makes the graviton partially massless. These simplify if one assumes that spacetime is Ricci symmetric. Under this assumption, we find explicit non-Einstein spacetimes allowing for the propagation of a partially massless graviton.
Keywords
Cite
@article{arxiv.1703.02538,
title = {Partially Massless Graviton on Beyond Einstein Spacetimes},
author = {Laura Bernard and Cedric Deffayet and Kurt Hinterbichler and Mikael von Strauss},
journal= {arXiv preprint arXiv:1703.02538},
year = {2018}
}
Comments
17 pages. v2 error in eq. 31 and its propagation corrected