Double-null formulation of the general Vaidya metric

Abstract

We present here the field equations describing a non-stationary spherically symmetric n-dimensional charged black hole with a varying mass m(v) and/or electric charge q(v), described by a generic charged Vaidya metric with a cosmological constant Λ in double-null coordinates. This formulation of the metric has been shown to be particularly useful for perturbative studies and it was used in some recent works. Here, we also discuss some issues related to the apparent and event horizons of the black hole.