Global conformal diagram of a black hole with angular momentum

We present the first explicit global conformal diagram of Kerr spacetime and discuss some implications on the causal structure. For this construction we use a new double null coordinate system for Kerr spacetime, which we have recently presented. These null coordinates are smooth everywhere and are...

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Bibliographic Details
Published in:Classical and quantum gravity 2023-04, Vol.40 (7), p.75007
Main Authors: Argañaraz, Marcos A, Moreschi, Osvaldo M
Format: Article
Language:English
Subjects:
conformal diagram
double null coordinates
Kerr
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Summary:We present the first explicit global conformal diagram of Kerr spacetime and discuss some implications on the causal structure. For this construction we use a new double null coordinate system for Kerr spacetime, which we have recently presented. These null coordinates are smooth everywhere and are naturally adapted to the horizons and to the null infinities. In this setting there naturally appears a family of spheres that are parameterized by r s , which are the intersections of both null coordinates, and r s can be thought of as the extension of the tortoise coordinate for the Kerr spacetime.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/acb630