  Let $\mathcal{A}$ and $\mathcal{B}$ be abelian categories and
$\mathbf{F}:\mathcal{A}\to \mathcal{B}$ an additive and right exact functor
which is perfect, and let $(\mathbf{F},\mathcal{B})$ be the left comma
category. We give an equivalent characterization of Gorenstein projective
objects in $(\mathbf{F},\mathcal{B})$ in terms of Gorenstein projective objects
in $\mathcal{B}$ and $\mathcal{A}$. We prove that there exists a left
recollement of the stable category of the subcategory of
$(\mathbf{F},\mathcal{B})$ consisting of Gorenstein projective objects modulo
projectives relative to the same kind of stable categories in $\mathcal{B}$ and
$\mathcal{A}$. Moreover, this left recollement can be filled into a recollement
when $\mathcal{B}$ is Gorenstein and $\mathbf{F}$ preserves projectives.
