Unit-lapse versions of the Kerr spacetime
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In this article, the most general unit-lapse form of the Kerr spacetime, the Doran and Natario metrics, is discussed. But these metrics are not precisely in Painleve-Gullstrand form.Abstract:
The Kerr spacetime is perhaps the most astrophysically important of the currently known exact solutions to the Einstein field equations. Whenever spacetimes can be put in unit-lapse form it becomes possible to identify some very straightforward timelike geodesics, (the "rain" geodesics), making the physical interpretation of these spacetimes particularly clean and elegant. The most well-known of these unit-lapse formulations is the Painleve-Gullstrand form of the Schwarzschild spacetime, though there is also a Painleve-Gullstrand form of the Lense-Thirring (slow rotation) spacetime. More radically there are also two known unit-lapse forms of the Kerr spacetime -- the Doran and Natario metrics -- though these are not precisely in Painleve-Gullstrand form. Herein we shall seek to explicate the most general unit-lapse form of the Kerr spacetime. While at one level this is "merely" a choice of coordinates, it is a strategically and tactically useful choice of coordinates, thereby making the technically challenging but astrophysically crucial Kerr spacetime somewhat easier to deal with.read more
Citations
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Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
Roy P. Kerr,Roy P. Kerr +1 more
Journal ArticleDOI
The eye of the storm: a regular Kerr black hole
Ol’ga G. Lopicheva,p4zezzf301 +1 more
TL;DR: In this article , a non-singular modification of the Kerr geometry, dubbed the "eye of the storm", is proposed, which is a rotating regular black hole with an asymptotically Minkowski core.
Posted Content
Killing tensor and Carter constant for Painleve-Gullstrand form of Lense-Thirring spacetime
TL;DR: In this paper, it was shown that the Lense-Thirring spacetime possesses a nontrivial Killing tensor, implying separability of the Hamilton-Jacobi equation, and the Klein-Gordon equation is also separable on this spacetime.
Journal ArticleDOI
Constant-r geodesics in the Painlevé–Gullstrand form of Lense–Thirring spacetime
TL;DR: In this article , the authors explore the non-equatorial constant-r geodesics (both timelike and null) in the Painlevé-Gullstrand variant of the Lense-Thirring spacetime recently introduced by the current authors.
Proceedings ArticleDOI
Formation and Evaporation of Regular Black Holes
TL;DR: In this article, the formation of a (locally defined) black hole from an initial vacuum region, its quiescence as a static region, and its subsequent evaporation to a vacuum region is described.
References
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Book
Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity
TL;DR: In this paper, the General Theory of Relativity and Feneral Relativity are discussed, as well as applications of feneral relativity in cosmology and cosmology.
Journal ArticleDOI
Gravitational field of a spinning mass as an example of algebraically special metrics
Roy P. Kerr,Roy P. Kerr +1 more
Journal ArticleDOI
Analogue Gravity
TL;DR: Analogous gravity is a research programme which investigates analogues of general relativistic gravitational fields within other physical systems, typically but not exclusively condensed matter systems, with the aim of gaining new insights into their corresponding problems.
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