The study of Bianchi type-IV and VIII cosmology model

• Main Authors: Meng-Tsung Kao, 高孟聰
• Other Authors: Win-Fun Kao
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/44209606321428733769

碩士 === 國立清華大學 === 物理學系 === 95 === A primary subjects studied in this thesis are Bianchi type-IV and VIII cosmology models。 If one wants to understand the basic concepts of a spactime geometry，one should first know the Riemann tensor，Ricci tensor，Ricci scalar of the spactime geometry。 Chapter one in this thesis，we start to calculate the basic quantity of Bianchi type-IV and VIII cosmology models，furthermore，by using Einstein field equation we can derive the field equations of Bianchi type-IV and VIII cosmology models，with the solutions of these field equations we can understand the evolution of Bianchi type-IV and type-VIII cosmology models 。 In chapter two，what we discuss is variation method，if one derive the field equations by variating EH action with respect to a_i( t )，one will find out that the equations are different from the field equations which we derive from Einstein field equations。The method to solve this problem is to put the space variable into the a¬_i(t)，and do the same calculation procedure as before，we find out the conclusion will consistent with the field equations which we derive from Einstein equation。 There are many physical mechanisms that will cause the universe expands，in chapter three，we canvass the scalar field is the physical mechanism that result in the universe to expand，the result of our calculation is consistent with the conclusion of inflation theory。