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THE ASTROPHYSICAL JOURNAL, 535:350353, 2000 May 20 2000. The American Astronomical Society. All rights reserved. Printed in U.S.A.(
 

Summary: THE ASTROPHYSICAL JOURNAL, 535:350353, 2000 May 20
2000. The American Astronomical Society. All rights reserved. Printed in U.S.A.(
KRETSCHMANN SCALAR FOR A KERR-NEWMAN BLACK HOLE
RICHARD CONN HENRY
Center for Astrophysical Sciences, Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, MD 21218-2686; henry=jhu.edu
Received 1999 June 11; accepted 2000 January 11
ABSTRACT
I have derived the Kretschmann scalar for a general black hole of mass m, angular momentum per
unit mass a, and electric charge Q. The Kretschmann scalar gives the amount of curvature of spacetime,
as a function of position near (and within) a black hole. This allows one to display the "" appearance of
the black hole itself, whether the black hole is merely of stellar mass or is a supermassive black hole at
the center of an active galaxy. Schwarzschild black holes, rotating black holes, electrically charged black
holes, and rotating electrically charged black holes are all illustrated. Rotating black holes are discovered
to possess a negative curvature that is not analogous to that of a saddle.
Subject headings: black hole physics relativity
1. INTRODUCTION
Black holes have been invoked in astrophysics to account
for some galactic X-ray sources, and also for the engines
that drive active galactic nuclei. Physicists, however, have
provided no way to visualize any realistic black hole. This

  

Source: Henry, Richard C.- Department of Physics and Astronomy, Johns Hopkins University

 

Collections: Physics