  We perform a Hadamard point-split renormalization of the current density
$j_\nu$ of a charged scalar field in a Reissner-Nordstr\"om-de Sitter
spacetime. We compute numerically the expectation values of the components
$j_r$ and $j_t$ in the Unruh state in the exterior region and study their
dependence on the field parameters and the position.

General Relativity and Quantum Cosmology