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.
6ab shows the phase diagrams of the system (28) for the situa tions ε = +1 (a) and ε =−1 (b) at α2 =−0.3, α 3 = 0.1
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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.