Rotating perfect fluid sources of the NUT metric
Michael Bradley, Gyula Fodor, L\'aszl\'o \'A. Gergely, Mattias, Marklund, Zolt\'an Perj\'es
TL;DR
This paper constructs and analyzes rotating perfect fluid solutions that match the NUT metric, providing new insights into sources for the Taub-NUT spacetime with specific parameter configurations.
Contribution
It introduces a class of rotating perfect fluid solutions matched to the NUT metric, expanding the understanding of possible sources for Taub-NUT spacetime.
Findings
Matching conditions yield three parameters in the global solution.
Examples of perfect fluid sources are explicitly discussed.
Solutions describe rigidly rotating fluids as sources for the NUT metric.
Abstract
Locally rotationally symmetric perfect fluid solutions of Einstein's gravitational equations are matched along the hypersurface of vanishing pressure with the NUT metric. These rigidly rotating fluids are interpreted as sources for the vacuum exterior which consists only of a stationary region of the Taub-NUT space-time. The solution of the matching conditions leaves generally three parameters in the global solution. Examples of perfect fluid sources are discussed.
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