Restrictions on relativistically rotating fluids
A set of inequalities which apply to the surface of rigidly rotating, perfect fluids with asymptotically flat exteriors is derived. This set consists of both algebraic inequalities and inequalities which involve integrals performed over the surface of the fluid. The physical content of these inequalities is investigated by examining the restrictions they impose on the existence of rotating fluid models with Kerr interiors. For this case, the dominant set of inequalities is found and expressed in an analytic form. These restrictions impose a finite maximum redshift between observers on the surface and at infinity for all models with the Kerr parameter a > m. However, for all models with 0 < a/m less than or equal to 1, there is a unique configuration for which the redshift is unbounded. In the static limit, a ..-->.. 0, a finite maximum redshift depending on the matter distribution of the static background is found. This result is compared to stability requirements for non-rotating fluids. The implications of this comparison and areas for future extensions are discussed.
- Research Organization:
- Los Alamos Scientific Lab., NM (USA)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6613652
- Report Number(s):
- LA-8789-T
- Country of Publication:
- United States
- Language:
- English
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