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考虑静质量为零的中微子背景，探讨了背景场对整体宇宙弦核外引力场的影响，采用通常的静态柱对称度规，运用共动Ｃａｒｔａｎ标架场方法求解弯曲时空中旋量场的Ｄｉｒａｃ方程进而求出旋量场的能动张量，将其能动张量与宇宙弦（核外）的能动张量叠加，求出了中微子场背景下整体宇宙弦为源的Ｅｉｎｓｔｅｉｎ方程的线性近似解，其度规为通常的结果加上旋量场的贡献，即在通常对数排斥势的基础上获得了一项附加的对数引力势的修正，对

Gravitational Field of a Global String in Spinor Field Background

Considering the background of massless neutrino,probes into the effect of the background field on the gravitational field of a global cosmic string outside the core.Adopting usual static cylindrical symmetrical metric,using comoving Cartan Vierbein field method,solves the Dirac equation of spinor field in curvature space-time,so obtains the energy-momentum tension of spinor field.Adding this tension to that of a global cosmic string outside the core,solves the linear approximate solution of Einstein equation with a global cosmic string as source and with neutrino field as background.The metric is equal to the usual result plus the contribution from spinor field,namely,it contains not only usual logarithmic repel potential,but also an additional logarithmic attractive potential which is modification contributed from spinor field.Also discusses briefly the space-time properties of gravitational field of a global cosmic string outside the core.