Living Rev Relativ (2017) 20:7
Rotating stars in relativity
· Nikolaos Stergioulas
Received: 8 December 2016 / Accepted: 3 October 2017
© The Author(s) 2017. This article is an open access publication
Abstract Rotating relativistic stars have been studied extensively in recent years,
both theoretically and observationally, because of the information they might yield
about the equation of state of matter at extremely high densities and because they
are considered to be promising sources of gravitational waves. The latest theoretical
understanding of rotating stars in relativity is reviewed in this updated article. The sec-
tions on equilibrium properties and on nonaxisymmetric oscillations and instabilities
in f -modes and r-modes have been updated. Several new sections have been added
on equilibria in modiﬁed theories of gravity, approximate universal relationships, the
one-arm spiral instability, on analytic solutions for the exterior spacetime, rotating
stars in LMXBs, rotating strange stars, and on rotating stars in numerical relativity
including both hydrodynamic and magnetohydrodynamic studies of these objects.
Keywords Relativistic stars · Rotation · Stability · Oscillations · Magnetic ﬁelds ·
This article is a revised version of https://doi.org/10.12942/lrr-2003-3.
Change summary: Major revision, updated and expanded.
Change details: The article has been substantially revised and updated. Expanded all sections, and moved
former Subsect. 2.10 to Sect. 3. The number of references (now 863) has more than doubled.
Theoretical Astrophysics Program, Departments of Astronomy and Physics, University of
Arizona, Tucson, AZ 85721, USA
Department of Physics, Princeton University, Princeton, NJ 08544, USA
Department of Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece