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Nonanalytic behavior of the relativistic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>r</mml:mi></mml:math> -modes in slowly rotating neutron stars
An inconsistency between the theoretical analysis and numerical calculations of the relativistic $r$-modes has puzzled the neutron star community since Kojima's finding of the continuous part in the $r$-mode oscillation spectrum in 1997. In this paper, after a brief review of the Newtonian $r$-mode theory and of the literature devoted …