New answers tagged dark-energy
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For phantom energy model we have $$H^2 = H_0^2\Omega_pa^{-3-3w_p}$$ such that $w_p < -1$
$$\dot{a}^2 = H_0^2\Omega_pa^{-1-3w_p}$$
$$\dot{a} = H_0 \sqrt{\Omega_p} a^{-1/2(1+3w_p)}$$
$$\int a^{1/2(1+3w_p)}da = \int H_0 \sqrt{\Omega_p}dt$$
Now at this part we should define the integrals upper and lower bounds. When we set time from $t → t_0$
$$\int_a^{...
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