What is the jerk parameter in terms of the Density parameters and equation of state?

Question

In cosmology the deceleration parameter defined as the
$$q_0 = frac{1}{2}sum_iOmega_{i,0}(1+3w_i)$$
Is there a similar expression for the jerk parameter ($j_0$)?

Layla · Answer

In general
$$j(q) = q + 2q^2 + (1+z)frac{dq}{dz}$$
and
$$j_0 = q_0 + 2q_9^2 + left. frac{dq}{dz} right|_{z=0}$$

What is the jerk parameter in terms of the Density parameters and equation of state?

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