Haunted Kaluza Universe with Four-dimensional Lorentzian Flat, Kerr, and Taub-NUT Slices
Rossen I. Ivanov, Emil M. Prodanov
TL;DR
This paper explores a five-dimensional Kaluza universe with specific four-dimensional slices, revealing how certain solutions can be interpreted as electric and magnetic charges influenced by ghost matter and a dilaton field.
Contribution
It provides a novel interpretation of Kerr and Taub-NUT solutions within Kaluza's framework, linking them to static charges and ghost matter in a five-dimensional setting.
Findings
Kaluza's theory duality relates slicing and threading decompositions.
Kerr and Taub-NUT solutions interpreted as electric and magnetic charges.
Presence of ghost matter and dilaton models Newton's constant.
Abstract
The duality between the original Kaluza's theory and Klein's subsequent modification is duality between slicing and threading decomposition of the five-dimensional spacetime. The field equations of the original Kaluza's theory lead to the interpretation of the four-dimensional Lorentzian Kerr and Taub--NUT solutions as resulting from static electric and magnetic charges and dipoles in the presence of ghost matter and constant dilaton, which models Newton's constant.
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