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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We derive gravitational waveforms needed to compute the 14th post-Newtonian(14PN) order energy flux for a particle in circular orbit around aSchwarzschild black hole, i.e. $v^{28}$ beyond the leading Newtonianapproximation where $v$ is the orbital velocity of a test particle. Weinvestigate the convergence of the energy flux in the PN expansion and suggesta fitting formula which can be used to extract unknown higher order PNcoefficients from accurate numerical data for more general orbits around a Kerrblack hole. The phase difference between the 14PN waveforms and numericalwaveforms after two years inspiral is shown to be about $10^{-7}$ for$\mu/M=10^{-4}$ and $10^{-3}$ for $\mu/M=10^{-5}$ where $\mu$ is the mass of acompact object and $M$ the mass of the central supermassive black hole. Infirst order black hole perturbation theory, for extreme mass ratio inspiralswhich are one of the main targets of Laser Interferometer Space Antenna, the14PN expressions will lead to the data analysis accuracies comparable to theones resulting from high precision numerical waveforms.

Gravitational radiation for extreme mass ratio inspirals to the 14th post-Newtonian order