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- Title
Comment on ‘Stationary perfect fluid solutions with differential rotation’.
- Authors
Marc Mars; José Senovilla
- Abstract
Abstract We vindicate our results in Mars and Senovilla (Phys Rev D 54, 6166–6180, 1996), which have been recently put in doubt or misunderstood in García and Ulloa (Gen Rel Grav 39, 1639–1650, 2007). In particular, we maintain that there indeed exist axially symmetric differentially rotating perfect-fluid solutions satisfying all energy conditions within the family of solutions presented in Senovilla (Class Quant Grav 9, L167–L169, 1992). We remark that the existence of an axis of symmetry can never be “re-interpreted” as the existence of a Killing horizon, and vice versa. We prove that such horizons are simply impossible for the perfect fluids within the family, and that regular axes of symmetry (or curvature singularities) are the only possibilities. Other inaccuracies or misunderstandings appeared in García and Ulloa (Gen Rel Grav 39, 1639–1650, 2007) are clarified.
- Subjects
SYMMETRY; AESTHETICS; PROPORTION; SYMMETRY (Art)
- Publication
General Relativity & Gravitation, 2008, Vol 40, Issue 10, p2241
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-008-0631-7