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

Classical soft graviton theorem gives the gravitational wave-form at futurenull infinity at late retarded time $u$ for a general classical scattering. Thelarge $u$ expansion has three known universal terms: the constant term, theterm proportional to $1/u$ and the term proportional to $\ln u/u^2$, whosecoefficients are determined solely in terms of the momenta of incoming and theoutgoing hard particles, including the momenta carried by outgoinggravitational and electromagnetic radiation produced during scattering. For theconstant term, also known as the memory effect, the dependence on the momentacarried away by the final state radiation / massless particles is known asnon-linear memory or null memory. It was shown earlier that for the coefficientof the $1/u$ term the dependence on the momenta of the final state masslessparticles / radiation cancels and the result can be written solely in terms ofthe momenta of the incoming particles / radiation and the final state massiveparticles. In this note we show that the same result holds for the coefficientof the $\ln u/u^2$ term. Our result implies that for scattering of masslessparticles the coefficients of the $1/u$ and $\ln u/u^2$ terms are determinedsolely by the incoming momenta, even if the particles coalesce to form a blackhole and massless radiation. We use our result to compute the low frequencyflux of gravitational radiation from the collision of massless particles atlarge impact parameter.

Classical Soft Graviton Theorem Rewritten