Bum-Hoon Lee and Wonwoo Lee 2009 Class. Quantum Grav. 26 225002 doi:10.1088/0264-9381/26/22/225002
Bum-Hoon Lee and Wonwoo Lee
Show affiliationsWe study the possible types of nucleation of vacuum bubbles. We classify vacuum bubbles in a de Sitter background and present some numerical solutions. The thin-wall approximation is employed to obtain the nucleation rate and the radius of vacuum bubbles. With careful analysis we confirm that Parke's formula is also applicable to the large true vacuum bubbles. The nucleation of the false vacuum bubble in a de Sitter background is also evaluated. The tunneling process in the potential with degenerate vacua is analyzed as the limiting cases of the large true vacuum bubble and false vacuum bubble. Next, we consider the pair creation of black holes in the background of bubble solutions. We obtain the static bubble wall solutions of the junction equation with a black hole pair. The masses of created black holes are uniquely determined by the cosmological constant and the surface tension on the wall. Finally, we obtain the rate of pair creation of black holes.
04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
Issue 22 (21 November 2009)
Received 4 June 2009, in final form 11 September 2009
Published 19 October 2009
Bum-Hoon Lee and Wonwoo Lee 2009 Class. Quantum Grav. 26 225002
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