Kretschmann Scalar for a Kerr-Newman Black Hole

Preprint English OPEN
Henry, Richard C. (1999)
  • Related identifiers: doi: 10.1086/308819
  • Subject: Astrophysics
    arxiv: General Relativity and Quantum Cosmology | Astrophysics::High Energy Astrophysical Phenomena

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 analagous to that of a saddle.
Share - Bookmark