Comment on `Stationary perfect fluid solutions with differential rotation'

Details Comment on `Stationary perfect fluid solutions with differential rotation' Comment on `Stationary perfect fluid solutions with differential rotation'

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008gregr..40.2241m&link_type=abstract

General Relativity and Gravitation, Volume 40, Issue 10, pp.2241-2247

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Stationary Axisymmetric Metrics, Perfect Fluids, Differential Rotation

Scientific paper

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.

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