Gordon and Kerr-Schild ansätze in massive and bimetric gravity

Valentina Baccetti*, Prado Martin-Moruno, Matt Visser

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


We develop the "generalized Gordon ansatz" for the ghost-free versions of both massive and bimetric gravity, an ansatz which is general enough to include almost all spacetimes commonly considered to be physically interesting, and restricted enough to greatly simplify calculations. The ansatz allows explicit calculation of the matrix square root γ = √g -lf appearing as a central feature of the ghost-free analysis. In particular, this ansatz automatically allows us to write the effective stress-energy tensor as that corresponding to a perfect fluid. A qualitatively similar "generalized Kerr-Schild ansatz" can also be easily considered, now leading to an effective stress-energy tensor that corresponds to a null fluid. Cosmological implications are considered, as are consequences for black hole physics. Finally we have a few words to say concerning the null energy condition in the framework provided by these ansätze.

Original languageEnglish
Article number108
Pages (from-to)1-18
Number of pages18
JournalJournal of High Energy Physics
Issue number8
Publication statusPublished - 2012
Externally publishedYes


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