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Phase Transitions and Stability of Eguchi-Hanson-AdS Solitons

Turkuler DurgutRobie A. HennigarHari K. KunduriRobert B. Mann
Dec 2022
摘要
The Eguchi-Hanson-AdS$_5$ family of spacetimes are a class of static,geodesically complete asymptotically locally AdS$_5$ soliton solutions of thevacuum Einstein equations with negative cosmological constant. They havenegative mass and are parameterized by an integer $p\geq 3$ with a conformalboundary with spatial topology $L(p,1)$. We investigate mode solutions of thescalar wave equation on this background and show that, similar to AdS$_5$, thegeometry admits a normal mode spectrum (i.e. solutions that neither grow ordecay in time). In addition, we also discuss other geometric properties ofthese soliton spacetimes, including the behaviour of causal geodesics and theirthermodynamic properties. We also point out a surprising connection with theAdS soliton.
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