Global spectral representations of black hole spacetimes in the complex plane
General Relativity and Quantum Cosmology
2009-11-11 v1 High Energy Physics - Theory
Abstract
Binary black hole coalescence produces a finite burst of gravitational radiation which propagates towards quiescent infinity. These spacetimes are analytic about infinity and contain a dimensionless coupling constant , where denotes the total mass-energy and an imaginary distance. This introduces globally convergent Fourier series on a complex radial coordinate, allowing spectral representation of black hole spacetimes in all three dimensions. We illustrate this representation theory on a Fourier-Legendre expansion of Boyer-Lindquist initial data and a scalar wave equation with signal recovery by Cauchy's integral formula.
Keywords
Cite
@article{arxiv.gr-qc/0506052,
title = {Global spectral representations of black hole spacetimes in the complex plane},
author = {Maurice H. P. M. van Putten},
journal= {arXiv preprint arXiv:gr-qc/0506052},
year = {2009}
}
Comments
Based on an invited talk at the Int'l Conf. Theor. Physics, 11-16 April 2005, Lebedev Physical Institute, Moscow