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 investigate cubic-in-spin effects for inspiralling compact objectsbinaries, both in the dynamics and the energy flux emitted in gravitationalwaves, at the leading post-Newtonian order. We use a Lagrangian formalism toimplement finite-size effects, and extend it at cubic order in the spins, whichcorresponds to the octupolar order in a multipolar decomposition. Thisformalism allows us to derive the equation of motion, equations of precessionfor the spin, and stress-energy tensor of each body in covariant form, andadmits a formal generalization to any multipolar order. For spin-inducedmultipoles, i.e. in the case where the rotation of the compact object is soleresponsible for the additional multipole moments, we find a unique structurefor the octupolar moment representing cubic-in-spin effects. We apply theseresults to compute the associated effects in the dynamics of compact binarysystems, and deduce the corresponding terms in the energy loss rate due togravitational waves. These effects enter at the third-and-a-half post-Newtonianorder, and can be important for binaries involving rapidly spinning blackholes. We provide simplified results for spin-aligned, circular orbits, anddiscuss the quantitative importance of the new contributions.

Cubic order spin effects in the dynamics and gravitational wave energy flux of compact object binaries