For flat FRW universes in Lovelock gravity, the dynamics reduces to a single first-order ODE whose fixed and singular points classify all evolutions, including a new 'Big Shock' initial state for N>4 with negative couplings.
In this case, the model equations become: dH dτ =−εH 2 15 + 180α2H 2 + 360α3H 4 5 + 120α2H 2 + 360α3H 4
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Cosmological dynamics based on Lovelock's gravity. Qualitative analysis
For flat FRW universes in Lovelock gravity, the dynamics reduces to a single first-order ODE whose fixed and singular points classify all evolutions, including a new 'Big Shock' initial state for N>4 with negative couplings.