Some properties of Dirac-Einstein bubbles

Abstract

We prove smoothness and provide the asymptotic behavior at infinity of solutions of Dirac-Einstein equations on ${\mathbb{R}}^3$, which appear in the bubbling analysis of conformal Dirac-Einstein equations on spin 3-manifolds. Moreover, we classify ground state solutions, proving that the scalar part is given by Aubin-Talenti functions, while the spinorial part is the conformal image of $-\frac{1}{2}$-Killing spinors on the round sphere ${\mathbb{S}}^3$.

arXiv comment14 pages. J. Geom. Anal. (2020)

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Cited by in corpus (1)

• Ground state Dirac bubbles and Killing spinors