Abstract

A REDUCE code for the Newman-Janis algorithm is described. This algorithm is intended to include rotation into nonrotating solutions of the Einstein field equations with spherically symmetry or perturbed spherically symmetry and has been successfully applied to many spacetimes. The applicability of the code is restricted to metrics containing potentials of the form 1/r.

Highlights

  • A Computer Program for the Newman-Janis AlgorithmCarlos Gutiérrez-Chávez1, Francisco Frutos-Alfaro2, Iván Cordero-García3, Javier Bonatti-González4 1Technological Institute of Costa Rica, Cartago, Costa Rica 2Space Research Center and School of Physics, University of Costa Rica, San José, Costa Rica 3School of Physics, University of Costa Rica, San José, Costa Rica 4Nuclear Research Center and School of Physics, University of Costa Rica, San José, Costa Rica

  • In 1965, Newman and Janis [1] found that it is possible, by means of a very peculiar complex coordinate transformation applied to Schwarzschild’s spacetime [2] [3], to generate the spinning Kerr solution [2] [4] of the Einstein field equations

  • In the original paper they refer to the method as a curious derivation since the series of steps to obtain the desired Kerr metric do not have a simple or clear explanation on why they should generate a new solution or even why those steps should provide a solution to vacuum field ecuations at all

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Summary

A Computer Program for the Newman-Janis Algorithm

Carlos Gutiérrez-Chávez1, Francisco Frutos-Alfaro2, Iván Cordero-García3, Javier Bonatti-González4 1Technological Institute of Costa Rica, Cartago, Costa Rica 2Space Research Center and School of Physics, University of Costa Rica, San José, Costa Rica 3School of Physics, University of Costa Rica, San José, Costa Rica 4Nuclear Research Center and School of Physics, University of Costa Rica, San José, Costa Rica

Introduction
The Newman-Janis Algorithm
The Program
Test Results
Conclusion

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