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Article Dans Une Revue Journal of Cosmology and Astroparticle Physics Année : 2014

Translation invariant time-dependent solutions to massive gravity II

Résumé

This paper is a sequel to JCAP 12 (2013) 004 and is also devoted to translation-invariant solutions of ghost-free massive gravity in its moving frame formulation. Here we consider a mass term which is linear in the vielbein (corresponding to a β3 term in the 4D metric formulation) in addition to the cosmological constant. We determine explicitly the constraints, and from the initial value formulation show that the time-dependent solutions can have singularities at a finite time. Although the constraints give, as in the β1 case, the correct number of degrees of freedom for a massive spin two field, we show that the lapse function can change sign at a finite time causing a singular time evolution. This is very different to the β1 case where time evolution is always well defined. We conclude that the β3 mass term can be pathological and should be treated with care.

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Dates et versions

hal-02549525 , version 1 (12-07-2022)

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J. Mourad, D.A. Steer. Translation invariant time-dependent solutions to massive gravity II. Journal of Cosmology and Astroparticle Physics, 2014, 2014 (06), pp.058. ⟨10.1088/1475-7516/2014/06/058⟩. ⟨hal-02549525⟩
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