Classification of gravitational instanton symmetries

摘要: We classify the action of one parameter isometry groups Gravitational Instantons, complete non singular positive definite solutions Einstein equations with or without Λ term. The fixed points are 2-types, isolated which we call “nuts” and 2-surfaces “bolts”. describe all known gravitational instantons relate numbers types nuts bolts occurring in them to their topological invariants. perform a 3+1 decomposition field respect orbits group exhibit certain duality between “electric” “magnetic” aspects gravity. also obtain formula for terms areas nut charges potentials that define. This can be interpreted thermodynamically several ways.