2014

Janis-Newman algorithm: simplifications and gauge field transformation

Erbin, Harold

Understand

The Janis-Newman algorithm is an old but very powerful tool to generate rotating solutions from static ones through a set of complex coordinate transformations.

Several solutions have been derived in this way, including solutions with gauge fields.
However, the transformation of the latter was so far always postulated as an ad hoc result.
In this paper we propose a generalization of the procedure, extending it to the transformation of the gauge field.

Built on

“Note on the Kerr Spinning-Particle Metric”
E.˜T. Newman and A.˜I. Janis · 1965
Earlier work this paper cites.
“Metric of a Rotating, Charged Mass”
E.˜T. Newman, E. Couch, K. Chinnapared, A. Exton, A. Prakash and R. Torrence · 1965
Earlier work this paper cites.
“Newman-Penrose approach to twisting degenerate metrics”
C.˜J. Talbot · 1969
Earlier work this paper cites.
“New Kerr-like space-time”
M. Demiański · 1972
Earlier work this paper cites.
“Kerr geometry as complexified Schwarzschild geometry”
Menahem˜M. Schiffer, Ronald˜J. Adler, James Mark and Charles Sheffield · 1973
Earlier work this paper cites.
“Lorentz covariant treatment of the Kerr–Schild geometry”
Metin Gürses and Feza Gürsey · 1975
Earlier work this paper cites.
“The complexification of a nonrotating sphere: An extension of the Newman–Janis algorithm”
L. Herrera and J. Jiménez · 1982
Earlier work this paper cites.
“Exact solutions of Einstein and Einstein-Maxwell equations in higher-dimensional spacetime”
Dian-Yan Xu · 1988
Earlier work this paper cites.
“Metric of a rotating radiating charged mass in a de Sitter space”
R.L. Mallett · 1988
Earlier work this paper cites.

Similar

“Introducing Angular Momentum into a Black Hole using Complex Variables”
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“The Application of the Newman-Janis Algorithm in Obtaining Interior Solutions of the Kerr Metric”
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“Notes on Spinning A d S _ 3 {AdS}\_3 Black Hole Solution”, 1997
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“Radiating metric, retarded time coordinates of Kerr-Newman-de Sitter black holes and related energy-momentum tensor”
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“Newman-Janis method and rotating dilaton-axion black hole”
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“An explanation of the Newman-Janis Algorithm”
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“Rotating metrics admitting non-perfect fluids in General Relativity”
Ng. Ibohal · 2005
Cited alongside, same era.
“The Kerr spacetime: A brief introduction”, 2007
Original
Matt Visser · 2007
Cited alongside, same era.

Then

“Braneworld Black Holes”, 2008
Original
Richard Whisker · 2008
Later among the works it cites.
“Axially symmetric solutions in f ⁡ ( R ) f(R) -gravity”
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Later among the works it cites.
“Spinning Loop Black Holes”
Francesco Caravelli and Leonardo Modesto · 2010
Later among the works it cites.
“Comment on "Spinning loop black holes" [arXiv:1006.0232]”
Original
Mustapha Azreg-Aïnou · 2011
Later among the works it cites.
“Radiating Kerr-Newman black hole in f ⁡ ( R ) f(R) gravity”
Sushant˜G. Ghosh, Sunil˜D. Maharaj and Uma Papnoi · 2013
Later among the works it cites.
“Untangling the Newman-Janis algorithm”
Rafael Ferraro · 2014
Closest in time.
“An extension of the Newman-Janis algorithm”
Aidan˜J. Keane · 2014
Closest in time.
“Generating rotating regular black hole solutions without complexification”
Mustapha Azreg-Aïnou · 2014
Closest in time.

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