SECOND ORDER SCALAR INVARIANTS OF THE RIEMANN TENSOR: APPLICATIONS TO BLACK HOLE SPACETIMES-Reference-Cited by-同舟云学术

SECOND ORDER SCALAR INVARIANTS OF THE RIEMANN TENSOR: APPLICATIONS TO BLACK HOLE SPACETIMES

Published:2002-07 Issue:06 Volume:11 Page:827-841
ISSN:0218-2718
Container-title:International Journal of Modern Physics D
language:en
Short-container-title:Int. J. Mod. Phys. D

Author:

CHERUBINI CHRISTIAN¹²,BINI DONATO²³,CAPOZZIELLO SALVATORE¹,RUFFINI REMO²⁴

Affiliation:

1. Physics Department "E. R. Caianiello", University of Salerno, I–84081, Italy

2. International Center for Relativistic Astrophysics, I.C.R.A., University of Rome La Sapienza, I–00185 Roma, Italy

3. Istituto per Applicazioni della Matematica C.N.R., Naples, I–80131, Italy

4. Physics Department, University of Rome La Sapienza, I–00185 Roma, Italy

Abstract

We discuss the Kretschmann, Chern–Pontryagin and Euler invariants among the second order scalar invariants of the Riemann tensor in any spacetime in the Newman–Penrose formalism and in the framework of gravitoelectromagnetism, using the Kerr–Newman geometry as an example. An analogy with electromagnetic invariants leads to the definition of regions of gravitoelectric or gravitomagnetic dominance.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218271802002037

Reference15 articles.

1. Invariants of General Relativity and the Classification of Spaces

2. Algebraic invariants of the Riemann tensor in a four‐dimensional Lorentzian space

3. Scalar invariants of the radiating Kerr–Newman metric: A simple application of GRTensor

4. Kretschmann Scalar for a Kerr‐Newman Black Hole

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