一个八维Kaluza-Klein宇宙模型  

AN EIGHT-DIMENSIONAL KALUZA-KLEIN COSMOLOGY

作　　者：刘棋 徐建军[1] 李新洲 

机构地区：[1]复旦大学物理系

出　　处：《高能物理与核物理》1989年第11期985-989,共5页High Energy Physics and Nuclear Physics

摘　　要：本文讨论了一个八维Kaluza-Klein宇宙模型.它不仅自洽地包含Georgi三族SU(11)大统一模型,而且得到了与观测宇宙一致的物理解.在这一模型中,通常四维的宇宙标度因子记作R_3而额外维度的宇宙标度因子记作R_4,它们的物理性质可分成四个阶段来描述.第一阶段,R_3和R_4都在膨胀;第二阶段,R_3是一个inflation解而R_4是个常数;第三阶段,R_4开始坍缩到它的极小值,而R_3继续单调地增加;第四阶段,R_4稳定在Kaluza-Klein半径R_(KK)而R_3以通常的FRW方式膨胀,这时四维的宇宙常数变为零.We present a cosmological solution of eight-dimensional Kaluza-Klein theory with Georgi's three -family SU(11)model in M_4,to which a matter term is added.In this solution,the general behavior of the scale factors is depicted in four stages.In stage one,both R_3 and R_4 expand with time;in stage two,R_4 is a constant while R_3 is an inflationary solution and E_3 will continue to increase with time monotonically while R_4 recollapses toward its minimum in stage three;finally,in stage four,R_4 will be stabilized at R_(KK) through some quantum effects and R_3 expands with time in the usual FRW way in which the four-dimensional cosmological constant becomes zero.

关 键 词：宇宙模型 Kaluza KLEIN 

分 类 号：P159[天文地球—天文学]