Gravitational instantons with quadratic volume growth

2021/10/13 by Gao Chen, Jeff Viaclovsky, Chen, Gao +1 · 2 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.2110.06498

Abstract

There are two known classes of gravitational instantons with quadratic volume growth at infinity, known as type ALG and ALG^*. Gravitational instantons of type ALG were previously classified by Chen-Chen. In this paper, we prove a classification theorem for ALG^* gravitational instantons. We determine the topology and prove existence of "uniform" coordinates at infinity for both ALG and ALG^* gravitational instantons. We also prove a result regarding the relationship between ALG gravitational instantons of order \mathfrakn and those of order 2.

Citations

• On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth

Cited by

• Asymptotically Calabi metrics and weak Fano manifolds
• The Torelli Theorem for ALH^* Gravitational Instantons

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