Inflation of small true vacuum bubble by quantization of Einstein-Hilbert action

作     者：HE DongShan CAI QingYu 

作者机构：State Key Laboratory of Magnetic Resonances and Atomic and Molecular Physics Wuhan Institute of Physics and MathematicsChinese Academy of Sciences University of the Chinese Academy of Sciences 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2015年第58卷第7期

页      面：99-108页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070201[理学-理论物理] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.61471356) 

主　　题：爱因斯坦 希尔伯特 真空泡 量化 粒子产生 膨胀过程 雅可比方程 普朗克长度 

摘      要：We study the quantization of the Einstein-Hilbert action for a small true vacuum bubble without matter or scalar field. The quantization of action induces an extra term of potential called quantum potential in Hamilton-Jacobi equation, which gives expanding solutions, including the exponential expansion solutions of the scalar factor a for the bubble. We show that exponential expansion of the bubble continues with a short period, no matter whether the bubble is closed, flat, or open. The exponential expansion ends spontaneously when the bubble becomes large, that is, the scalar factor a of the bubble approaches a Planck length lp. We show that it is the quantum potential of the small true vacuum bubble that plays the role of the scalar field potential suggested in the slow-roll inflation model. With the picture of quantum tunneling, we calculate particle creation rate during inflation, which shows that particles created by inflation have the capability of reheating the universe.