Numerical study of the Kerr solution in rotating coordinates

6533b7d6fe1ef96bd1267237

RESEARCH PRODUCT

Numerical study of the Kerr solution in rotating coordinates

G Izquierdo Christian Klein S Bai

subject

Kerr metric Reduced wave-equation FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc)01 natural sciences General Relativity and Quantum Cosmology Binary-systems Relativity symbols.namesake Killing vector field General Relativity and Quantum Cosmology Theory of relativity 0103 physical sciences Boundary-conditions Boundary value problem Spectral method 010306 general physics Newton's method [ SDU.ASTR ] Sciences of the Universe [physics]/Astrophysics [astro-ph]Physics [PHYS]Physics [physics][ PHYS ] Physics [physics]Spacetime [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph]010308 nuclear & particles physics Classical mechanics Iterated function [SDU]Sciences of the Universe [physics]symbols Spectral method [ SDU ] Sciences of the Universe [physics]

description

International audience; The Kerr solution in coordinates corotating with the horizon is studied as a testbed for a spacetime with a helical Killing vector in the Ernst picture. The solution is numerically constructed by solving the Ernst equation with a spectral method and a Newton iteration. We discuss convergence of the iteration for several initial iterates and different values of the Kerr parameters.

year	journal	country	edition	language
2016-06-01

https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01410978

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