TUNNELING TRANSITIONS IN DE SITTER SPACETIME

Abstract

We study tunneling transitions in de Sitter space. The self-gravitating scalar field with O(4) symmetry is taken into account. In this consideration the inherent property of Euclidean de Sitter geometry plays an important role in vacuum tunneling transitions. We extend Parke's results to other classes of true vacuum bubbles, false vacuum bubbles, and degenerate cases. We mention that the pair creation of black holes can be possible in the background of bubble solutions. This article is prepared for the proceedings of International Symposium on Cosmology and Particle Astrophysics(CosPA2008) in Korea, Oct 2008.