Open AccessEquilibrium configurations of homogeneous fluids in general relativity
Author(s) -
Ansorg M.,
Fischer T.,
Kleinwächter A.,
Meinel R.,
Petroff D.,
Schöbel K.
Publication year - 2004
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1111/j.1365-2966.2004.08371.x
Subject(s) - physics , newtonian fluid , theory of relativity , homogeneous , general relativity , classical mechanics , limit (mathematics) , space (punctuation) , limiting , rotational symmetry , newtonian limit , domain (mathematical analysis) , relativistic particle , relativistic speed , core (optical fiber) , relativistic quantum chemistry , mechanics , mathematical analysis , statistical physics , quantum mechanics , optics , mechanical engineering , mathematics , engineering , electron , linguistics , philosophy
By means of a highly accurate, multi‐domain, pseudo‐spectral method, we investigate the solution space of uniformly rotating, homogeneous and axisymmetric relativistic fluid bodies. It turns out that this space can be divided up into classes of solutions. In this paper, we present two new classes including relativistic core–ring and two‐ring solutions. Combining our knowledge of the first four classes with post‐Newtonian results and the Newtonian portion of the first ten classes, we present the qualitative behaviour of the entire relativistic solution space. The Newtonian disc limit can only be reached by going through infinitely many of the aforementioned classes. Only once this limiting process has been consummated can one proceed again into the relativistic regime and arrive at the analytically known relativistic disc of dust.