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Translation invariant time-dependent solutions to massive gravity II · Around

2014

Translation invariant time-dependent solutions to massive gravity II

Mourad, J., Steer, D. A.

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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 $\beta_3$ 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 $\beta_1$ 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.

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