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Partially massless graviton on beyond Einstein spacetimes
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. UPMC, France.
2017 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 95, no 12, 124036Article in journal (Refereed) Published
Abstract [en]

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 (some, but not all, with vanishing Bach tensors) allowing for the propagation of a partially massless graviton. These include in particular the Einstein static Universe.

Place, publisher, year, edition, pages
American Physical Society, 2017. Vol. 95, no 12, 124036
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-211011DOI: 10.1103/PhysRevD.95.124036ISI: 000404027900004Scopus ID: 2-s2.0-85022330574OAI: oai:DiVA.org:kth-211011DiVA: diva2:1121698
Funder
EU, FP7, Seventh Framework Programme, 307934EU, Horizon 2020, MaGRaTh646597
Note

QC 20170712

Available from: 2017-07-12 Created: 2017-07-12 Last updated: 2017-11-29Bibliographically approved

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