scholarly journals Gravitational instantons with faster than quadratic curvature decay (III)

2020 ◽  
Author(s):  
Gao Chen ◽  
Xiuxiong Chen
Keyword(s):  
Gravitational Instantons ◽  
Curvature Decay

scholarly journals Gravitational instantons with faster than quadratic curvature decay (II)

2019 ◽  
Vol 2019 (756) ◽  
pp. 259-284 ◽  
Author(s):  
Gao Chen ◽  
Xiuxiong Chen
Keyword(s):  
Gravitational Instantons ◽  
Gravitational Instanton ◽  
Asymptotic Rate ◽  
Curvature Decay ◽  
Standard Models

AbstractThis is our second paper in a series to study gravitational instantons, i.e. complete hyperkähler 4-manifolds with faster than quadratic curvature decay. We prove two main theorems: (i) The asymptotic rate of gravitational instantons to the standard models can be improved automatically. (ii) Any ALF-D_{k} gravitational instanton must be the Cherkis–Hitchin–Ivanov–Kapustin–Lindström–Roček metric.

scholarly journals Conformal geodesics on gravitational instantons

2021 ◽  
pp. 1-32
Author(s):  
MACIEJ DUNAJSKI ◽  
PAUL TOD
Keyword(s):  
Magnetic Field ◽  
Geodesic Flow ◽  
Isometry Group ◽  
Three Dimensional ◽  
First Integrals ◽  
Complete Integrability ◽  
Conformal Killing ◽  
Gravitational Instantons ◽  
Geodesic Equations ◽  
Jacobi Equations

Abstract We study the integrability of the conformal geodesic flow (also known as the conformal circle flow) on the SO(3)–invariant gravitational instantons. On a hyper–Kähler four–manifold the conformal geodesic equations reduce to geodesic equations of a charged particle moving in a constant self–dual magnetic field. In the case of the anti–self–dual Taub NUT instanton we integrate these equations completely by separating the Hamilton–Jacobi equations, and finding a commuting set of first integrals. This gives the first example of an integrable conformal geodesic flow on a four–manifold which is not a symmetric space. In the case of the Eguchi–Hanson we find all conformal geodesics which lie on the three–dimensional orbits of the isometry group. In the non–hyper–Kähler case of the Fubini–Study metric on $\mathbb{CP}^2$ we use the first integrals arising from the conformal Killing–Yano tensors to recover the known complete integrability of conformal geodesics.

scholarly journals On manifolds with quadratic curvature decay

2009 ◽  
Vol 145 (2) ◽  
pp. 528-540 ◽  
Author(s):  
Nader Yeganefar
Keyword(s):  
Topological Type ◽  
Noncompact Manifold ◽  
Asymptotic Cones ◽  
Finite Topological Type ◽  
Curvature Decay

AbstractWe give conditions which imply that a complete noncompact manifold with quadratic curvature decay has finite topological type. In particular, we find links between the topology of a manifold with quadratic curvature decay and some properties of the asymptotic cones of such a manifold.

scholarly journals $D_k$ gravitational instantons and Nahm equations

1998 ◽  
Vol 2 (6) ◽  
pp. 1287-1306 ◽  
Author(s):  
Sergey A. Cherkis ◽  
Anton Kapustin
Keyword(s):  
Gravitational Instantons

scholarly journals AdS3 GRAVITATIONAL INSTANTONS FROM CONFORMAL FIELD THEORY

1999 ◽  
Vol 14 (28) ◽  
pp. 1961-1981 ◽  
Author(s):  
SHUHEI MANO
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bound States ◽  
Three Dimensional ◽  
Partition Functions ◽  
De Sitter ◽  
Btz Black Hole ◽  
Gravitational Instantons ◽  
Conformal Field ◽  
Horizon Geometry

A conformal field theory on the boundary of three-dimensional asymptotic anti-de Sitter spaces which appear as near horizon geometry of D-brane bound states is discussed. It is shown that partition functions of gravitational instantons appear as high and low temperature limits of the partition function of the conformal field theory. The result reproduces phase transition between the anti-de Sitter space and the BTZ black hole in the bulk gravity.

scholarly journals Can gravitational instantons really constrain axion inflation?

2017 ◽  
Vol 2017 (2) ◽  
Author(s):  
Arthur Hebecker ◽  
Patrick Mangat ◽  
Stefan Theisen ◽  
Lukas T. Witkowski
Keyword(s):  
Gravitational Instantons
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