Topological Characterization of Higher Dimensional Charged Taub-NUT Instantons

Abstract

Recently, we have shown that non-selfdual self-gravitating dyonic fields with magnetic mass generalize the Dirac monopole. The unique topological index, which characterizes the field, is a four dimensional analogue of the famous monopole configuration. An unexpected result of this analysis is that the electric parameter can only take certain discrete values as a consequence of applying the path integral approach to quantize the magnetic flux. Here, we show how this result can be generalized to higher dimensions, considering a special type of inhomogeneous geometries. Our results apply to a vast range of theories and situations in which topological charges are present. For concreteness, we focus here on Lovelock--Maxwell solutions and show that the magnetic flux corresponds to a topological excitation and the electric flux becomes discrete.

Final published version

References in corpus (5)

• Taub-NUT/Bolt Black Holes in Gauss-Bonnet-Maxwell Gravity
• NUTs and bolts beyond Lovelock
• Birkhoff's Theorem in Lovelock Gravity for General Base Manifolds
• Thermodynamics of Taub-NUT Black Holes in Einstein-Maxwell Gravity
• Topological Quantum Numbers of Dyonic Fields over Taub-Bolt

Cited by in corpus (8)

• Nonlinear extensions of gravitating dyons: from NUT wormholes to Taub-Bolt instantons
• Hairy Taub-NUT/Bolt-AdS solutions in Horndeski theory
• Charging Kerr-Schild spacetimes in higher dimensions
• Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
• Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials
• Pure Gauss-Bonnet NUT Black Hole Solution: I
• Bianchi IX geometry and the Einstein-Maxwell theory
• Pure Gauss-Bonnet NUT black hole with and without non-central singularity