A radiating charge embedded in a De Sitter universe

N-dimensional Vaidya metric with a cosmological constant in double-null coordinates

“…We have r 0 (v) < r − (v) < r + (v) for v > 0. Both straight lines r − (v) and r + (v) are also solutions of (21). Between them, solutions are convex.…”

“…For the case of an ingoing radial flow, c = 1 and m(v) is a monotone increasing mass function in the advanced time v, while c = −1 corresponds to an outgoing radial flow, with m(v) being in this case a monotone decreasing mass function in the retarded time v. The 4-dimensional Vaidya metric with a cosmological constant in the radiation coordinates has been considered previously in [21]. It is well known that the radiation coordinates are defective at the horizon [22], implying that the Vaidya metric (1) is not geodesically complete in any dimension.…”

Hawking radiation of the Vaidya–Bonner–de Sitter black hole

“…The line element of the non-stationary Vaidya-Bonner-de Sitter black hole represented in Eddington-Finkelstein coordinates is given by [14] …”

A radiating dyon solution

“…Mallett [5] gave an exact solution describing the radiating Vaidya metric [1] in a de Sitter universe. Patino and Rago [6] obtained a solution of the Einstein-Maxwell (EM) equations with null fluid for a spherically symmetric radiating massive charged (electric) object in a de Sitter universe.…”