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arxiv 1003.5015 v2 pith:3J7FPY45 submitted 2010-03-25 gr-qc astro-ph.HEnucl-th

An introduction to the theory of rotating relativistic stars

classification gr-qc astro-ph.HEnucl-th
keywords rotatingstarstheoryangularchoicecoordinatesderivationdetailed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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