Action of instantons with a nut charge

1998/07/05 by Christopher Hunter, C. J. Hunter · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.59.024009

published as Phys.Rev. D59 (1999) 024009 · 25 pages

arxiv created 1998/07/05 · openalex publication_date 1998/12/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine the effect of a non-trivial nut charge on the action of non-compact four-dimensional instantons with a U(1) isometry. If the instanton action is calculated by dimensionally reducing along the isometry, then the nut charge is found to make an explicit non-zero contribution. For metrics satisfying AF, ALF or ALE boundary conditions, the action can be expressed entirely in terms of quantities (including the nut charge) defined on the fixed point set of the isometry. A source (or sink) of nut charge also implies the presence of a Misner string coordinate singularity, which will have an important effect on the Hamiltonian of the instanton.

Citations

• The Flatter Regions of Newman, Unti, and Tamburino's Generalized Schwarzschild Space
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Gravitational instantons

Cited by

• Thermodynamics of asymptotically flat charged black holes in third order Lovelock gravity
• Energy for N -body motion in two-dimensional gravity