S. Persides solved the Laplace equation in Schwarzschild spacetime on hypersurfaces of constant t. Using the canonical variables r, θ, φ the solution is Ψ Ψ ( r , θ θ , φ φ ) = R ( r ) Y l ( θ θ , φ φ ) , where Y l (θ, φ) is a spherical harmonic function, and R ( r ) = ( − − 1 ) l ( l ! ) 2 r s l ( 2 l ) ! P l ( 1 − − 2 r r s ) + ( − − 1 ) l + 1 2 ( 2 l + 1 ) ! ( l ) ! 2 r s l + 1 Q l ( 1 − − 2 r r s ) .