Abstract

In this letter, several works about the solutions of the real scalar field in SdS and RNdS are compared. Some previous works gave out that the wave amplitude near the potential peak is harmonic versus the radius, some gave out the wave amplitude near the potential peak increases, and others showed contrary results. By a simple mathematical calculation, here we unite the aforementioned results and denote that the wave amplitude near the potential peak increases in both SdS and RNdS spaces.

Key words: Black hole, real scalar field, der sitter space.