We investigate self-gravitating solutions of the Einstein-Skyrme theory coupled to spin-isospin Dirac fermions and consider the dependence of the spectral flow on the effective gravitational coupling constant and on the Yukawa coupling. It is shown that the effects of the backreaction of the fermionic mode may strongly deform the configuration. Depending on the choice of parameters, solutions with positive, negative and zero ADM mass may arise. The occurrence of regular anti-gravitating asymptotically flat solutions with negative ADM mass is caused by the violation of the energy conditions.

中文翻译：

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费米子态局域于自引力斯格明子


我们研究了与自旋同位旋狄拉克费米子耦合的爱因斯坦-斯凯尔姆理论的自引力解，并考虑了谱流对有效引力耦合常数和汤川耦合的依赖性。结果表明，费米子模式的逆反应的影响可能会强烈地使构型变形。根据参数的选择，可能会出现具有正、负和零 ADM 质量的解决方案。具有负 ADM 质量的规则反引力渐近平坦解的出现是由于违反能量条件而引起的。