Relativistic figures of equilibrium: from Maclaurin spheroids to Kerr black holes
Reinhard Meinel
TL;DR
This paper reviews analytical and numerical findings on rotating fluid bodies in Einstein's gravity, focusing on their transition to black holes and discussing the uniqueness of extremal Kerr black holes.
Contribution
It provides a comprehensive review of equilibrium configurations of rotating fluids and their transition to black holes within Einstein's theory, highlighting the extremal Kerr black hole uniqueness.
Findings
Continuous parametric transitions to black holes are analyzed.
The uniqueness of extremal Kerr black holes is discussed.
Analytical and numerical methods are reviewed.
Abstract
Analytical and numerical results on equilibrium configurations of rotating fluid bodies within Einstein's theory of gravitation are reviewed. Particular emphasis is placed on continuous parametric transitions to black holes. In this connection the uniqueness of extremal Kerr black holes is discussed.
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