Massive gravity on de Sitter and unique candidate for partially massless gravity

Rham, Claudia de; Renaux-Petel, Sébastien

doi:10.1088/1475-7516/2013/01/035

Title: Massive gravity on de Sitter and unique candidate for partially massless gravity

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Abstract

We derive the decoupling limit of Massive Gravity on de Sitter in an arbitrary number of space-time dimensions d. By embedding d-dimensional de Sitter into d+1-dimensional Minkowski, we extract the physical helicity-1 and helicity-0 polarizations of the graviton. The resulting decoupling theory is similar to that obtained around Minkowski. We take great care at exploring the partially massless limit and define the unique fully non-linear candidate theory that is free of the helicity-0 mode in the decoupling limit, and which therefore propagates only four degrees of freedom in four dimensions. In the latter situation, we show that a new Vainshtein mechanism is at work in the limit m{sup 2} → 2H{sup 2} which decouples the helicity-0 mode when the parameters are different from that of partially massless gravity. As a result, there is no discontinuity between massive gravity and its partially massless limit, just in the same way as there is no discontinuity in the massless limit of massive gravity. The usual bounds on the graviton mass could therefore equivalently well be interpreted as bounds on m{sup 2}−2H{sup 2}. When dealing with the exact partially massless parameters, on the other hand, the symmetry at m{sup 2} = 2H{sup 2} imposesmore »« less

Authors:

Rham, Claudia de ^[1]; Renaux-Petel, Sébastien ^[2]

Department of Physics, Case Western Reserve University, 10900 Euclid Ave, Cleveland, OH 44106 (United States)
Centre for Theoretical Cosmology, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA (United Kingdom)

Publication Date:: Tue Jan 01 00:00:00 EST 2013

OSTI Identifier:: 22279627

Resource Type:: Journal Article

Journal Name:: Journal of Cosmology and Astroparticle Physics

Additional Journal Information:: Journal Volume: 2013; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516

Country of Publication:: United States

Language:: English

Subject:: 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTROPHYSICS; COSMOLOGY; DE SITTER GROUP; DE SITTER SPACE; DECOUPLING; DEGREES OF FREEDOM; GRAVITATION; GRAVITONS; HELICITY; MINKOWSKI SPACE; NONLINEAR PROBLEMS; POLARIZATION; REST MASS; SPACE-TIME

Citation Formats


                    Rham, Claudia de, and Renaux-Petel, Sébastien. Massive gravity on de Sitter and unique candidate for partially massless gravity.  United States: N. p., 2013. 
        Web.  doi:10.1088/1475-7516/2013/01/035.

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                    Rham, Claudia de, & Renaux-Petel, Sébastien. Massive gravity on de Sitter and unique candidate for partially massless gravity.  United States.  https://doi.org/10.1088/1475-7516/2013/01/035

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                    Rham, Claudia de, and Renaux-Petel, Sébastien. 2013.  
        "Massive gravity on de Sitter and unique candidate for partially massless gravity".  United States.  https://doi.org/10.1088/1475-7516/2013/01/035.

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@article{osti_22279627,

  title        = {Massive gravity on de Sitter and unique candidate for partially massless gravity},

  author       = {Rham, Claudia de and Renaux-Petel, Sébastien},

  abstractNote = {We derive the decoupling limit of Massive Gravity on de Sitter in an arbitrary number of space-time dimensions d. By embedding d-dimensional de Sitter into d+1-dimensional Minkowski, we extract the physical helicity-1 and helicity-0 polarizations of the graviton. The resulting decoupling theory is similar to that obtained around Minkowski. We take great care at exploring the partially massless limit and define the unique fully non-linear candidate theory that is free of the helicity-0 mode in the decoupling limit, and which therefore propagates only four degrees of freedom in four dimensions. In the latter situation, we show that a new Vainshtein mechanism is at work in the limit m{sup 2} → 2H{sup 2} which decouples the helicity-0 mode when the parameters are different from that of partially massless gravity. As a result, there is no discontinuity between massive gravity and its partially massless limit, just in the same way as there is no discontinuity in the massless limit of massive gravity. The usual bounds on the graviton mass could therefore equivalently well be interpreted as bounds on m{sup 2}−2H{sup 2}. When dealing with the exact partially massless parameters, on the other hand, the symmetry at m{sup 2} = 2H{sup 2} imposes a specific constraint on matter. As a result the helicity-0 mode decouples without even the need of any Vainshtein mechanism.},

  doi          = {10.1088/1475-7516/2013/01/035},

  url          = {https://www.osti.gov/biblio/22279627},
  journal      = {Journal of Cosmology and Astroparticle Physics},

  issn         = {1475-7516},

  number       = 01,

  volume       = 2013,

  place        = {United States},

  year         = {Tue Jan 01 00:00:00 EST 2013},

  month        = {Tue Jan 01 00:00:00 EST 2013}

}

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