We have investigated the structure of the general relativistic polytrope(G.R.P.) of n=5. The numerical solutions of the general relativistic Lane-Emden functions υ a n d θ for the ratio of the central pressure to the central density σ = 0.1 , 0.3, 0.5 and 0.8333 are plotted graphically. We may summarize the results as follows: 1. As the invariant radius ¯ ξ increases, the numerical value of the mass parameter υ does not approach toward the assymptotic limit, as it does in the classical case ( υ ∼ √ 3 ) , but it increases continuously with progressively smaller rate as compared with the classical case. 2. When ¯ ξ is less than ∼ 5.5 , the value of the density function θ drops more rapidly than the classical one, whereas when ¯ ξ is greater than ∼ 5.5 , θ becomes greater than the classical value. For the greater values of σ these phenomena become significant. 3. From the above results it is expected that the equilibrium mass of the G.R.P. of n=5 must be larger than the classical masse ( √ 3 ) and the mass is more dispersed than the classical configuration (i.e. equilibrium with infinite radius).

Abstract
Ⅰ. 序論
Ⅱ. 一般相對論의 考慮가 必要한 경우
Ⅲ. Polytrope 流體球의 平衡方程式
Ⅳ. n=5인 Polytrope
Ⅴ. 結論
References

• 姜用熙(Department of Astronomy and Meteorology, Graduate Schoool, Seoul National University) | Yong Hee Kang
• 玄正晙(Department Astronomy and Meteorology, College of Liberal Atrs and Sciences, Seoul National University) | Jong June Hyun