Abstract
AbstractPainlevé–Gullstrand coordinates, a very useful tool in spherical horizon thermodynamics, fail in anti-de Sitter space and in the inner region of Reissner–Nordström. We predict this breakdown to occur in any region containing negative Misner–Sharp–Hernandez quasilocal mass because of repulsive gravity stopping the motion of PG observers, which are in radial free fall with zero initial velocity. PG coordinates break down also in the static Einstein universe for completely different reasons. The more general Martel-Poisson family of charts, which normally has PG coordinates as a limit, is reported for static cosmologies (de Sitter, anti-de Sitter and the static Einstein universe).
Funder
Natural Sciences and Engineering Research Council of Canada
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference64 articles.
1. V. Faraoni, Cosmological and Black Hole Apparent Horizons (Springer, New York, 2015)
2. M.K. Parikh, F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000)
3. P. Painlevé, C.R. Acad, Science (Paris) 173, 677 (1921)
4. A. Gullstrand, Arkiv. Mat. Astron. Fys. 16, 1 (1912)
5. L. Vanzo, G. Acquaviva, R. Di Criscienzo, Class. Quantum Grav. 28, 183001 (2011)
Cited by
20 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献