Chern Index of Taub-Bolt instantons in Einstein-Born-Infeld gravity
Daniel Flores-Alfonso, Hernando Quevedo
TL;DR
This paper investigates the properties of Taub-Bolt instantons within Einstein-Born-Infeld gravity, revealing how magnetic flux acts as a winding number and influences electric flux in regular solutions.
Contribution
It introduces a detailed analysis of Taub-Bolt instantons with electric and magnetic fluxes in Einstein-Born-Infeld theory, highlighting the flux relationship and regular solution conditions.
Findings
Magnetic flux is a winding number.
Electric flux is indexed by magnetic flux.
Regular solutions exist with proportional electric and magnetic fluxes.
Abstract
Partition functions can be calculated by saddle point approximations whenever regular solutions exist, as they dominate the path integral. We examine a regular Taub-Bolt dyon of Einstein-Born-Infeld theory which has electric and magnetic flux proportional to each other. Magnetic flux is found to be essentially a winding number and the electric flux turns out to be indexed by it.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories