English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present a novel approach to the numerical computation of quasi-normalmodes, based on the first-order (in radial derivative) formulation of theequations of motion and using a matrix version of the continued fractionmethod. This numerical method is particularly suited to the study of staticblack holes in modified gravity, where the traditional second-order,Schr\"odinger-like, form of the equations of motion is not always available.Our approach relies on the knowledge of the asymptotic behaviours of theperturbations near the black hole horizon and at spatial infinity, which can beobtained via the systematic algorithm that we have proposed recently. In thiswork, we first present our method for the perturbations of a Schwarzschildblack hole and show that we recover the well-know frequencies of the QNMs to avery high precision. We then apply our method to the axial perturbations of anexact black hole solution in a particular scalar-tensor theory of gravity. Wealso cross-check the obtained QNM frequencies with other numerical methods.

Numerical computation of quasinormal modes in the first-order approach to black hole perturbations in modified gravity