An introduction to the theory of rotating relativistic stars

Abstract

These lecture notes are intended to introduce the theory of rotating stars in general relativity. The focus is put on the theoretical foundations, with a detailed discussion of the spacetime symmetries, the choice of coordinates and the derivation of the equations of structure from the Einstein equation. The global properties of rotating stars (mass, angular momentum, redshifts, orbits, etc.) are also introduced.

90 pages, 18 figures, lectures given at the Compstar 2010 School (Caen, 8-16 Feb 2010). Changes with respect to v1: minor corrections, more substantial changes in Sec. 3.4.3, references added

References in corpus (1)

• Strong first-order phase transition in a rotating neutron star core and the associated energy release

Cited by in corpus (22)

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• Global numerical simulations of the rise of vortex-mediated pulsar glitches in full general relativity
• Rotating Neutron Stars in F(R) Gravity with Axions
• On the maximum mass of magnetised white dwarfs
• A universal formula for the relativistic correction to the mutual friction coupling time-scale in neutron stars
• Deformed black hole in Sagittarius A
• Towards exact relativistic theory of Earth's geoid undulation
• Wormhole solutions sourced by fluids, II: Three-fluid two-charged sources
• Surface Stress Tensor and Junction Conditions on a Rotating Null Horizon
• Disk formation in the collapse of supramassive neutron stars
• Magnetic deformation of neutron stars in scalar-tensor theories
• Min-max minimal surfaces, horizons and electrostatic systems
• Rotating Boson Stars Using Finite Differences and Global Newton Methods
• Normal gravity field in relativistic geodesy
• Born-Infeld boson stars
• Quasi-isometric embedding of Kerr poloidal sub-manifolds
• Detectability of continuous gravitational waves from magnetically deformed neutron stars
• Triaxial instabilities in rapidly rotating Neutron Stars