Lorentz symmetry in ghost-free massive gravity

Kostelecký, V. Alan; Potting, Robertus

doi:10.1103/physrevd.104.104046

Lorentz symmetry in ghost-free massive gravity

Journal Article · Wed Nov 17 00:00:00 EST 2021 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.104.104046· OSTI ID:1843789

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Indiana Univ., Bloomington, IN (United States); Indiana University
University of Algarve, Faro (Portugal); Univ. of Lisbon (Portugal)

The role of Lorentz symmetry in ghost-free massive gravity is studied, emphasizing features emerging in approximately Minkowski spacetime. The static extrema and saddle points of the potential are determined and their Lorentz properties identified. Solutions preserving Lorentz invariance and ones breaking four of the six Lorentz generators are constructed. Locally, globally, and absolutely stable Lorentz-invariant extrema are found to exist for certain parameter ranges of the potential. Gravitational waves in the linearized theory are investigated. Deviations of the fiducial metric from the Minkowski metric are shown to lead to pentarefringence of the five wave polarizations, which can include superluminal modes and subluminal modes with negative energies in certain observer frames. The Newton limit of ghost-free massive gravity is explored. The propagator is constructed and used to obtain the gravitational potential energy between two point masses. Here, the result extends the Fierz-Pauli limit to include corrections generically breaking both rotation and boost invariance.

View Accepted Manuscript (DOE)

Research Organization:: Indiana Univ., Bloomington, IN (United States)

Sponsoring Organization:: Indiana University; Portuguese Fundação para a Ciência e a Tecnologia; USDOE

Grant/Contract Number:: SC0010120

OSTI ID:: 1843789

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 10 Vol. 104; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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