Translation invariant time-dependent solutions to massive gravity II
arXiv:1405.1862 · doi:10.1088/1475-7516/2014/06/058
Abstract
This paper is a sequel to arXiv:1310.6560 [hep-th] 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 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 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 case where time evolution is always well defined. We conclude that the mass term can be pathological and should be treated with care.
arXiv comment19 pages, 1 figure
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