7 papers
All-order structure of static gravitational interactions and the seventh post-Newtonian potential
Giacomo Brunello, Manoj K. Mandal, Pierpaolo Mastrolia +4
We present a closed formula for the computation of static post-Newtonian corrections to the two-body gravitational dynamics at any odd order, assuming the lower-order results are k…
Charged Black-Hole Binary Evolution at Second Post-Newtonian Order
Andrea Placidi, Elisa Grilli, Marta Orselli +3
We study the dynamics of electrically charged black-hole binaries and their gravitational-wave emission during the inspiral phase. Within the post-Newtonian framework, we derive th…
Six-loop gravitational interactions at the sixth post-Newtonian order
Giacomo Brunello, Manoj K. Mandal, Pierpaolo Mastrolia +6
We compute the gravitational interaction of two coalescing compact objects at sixth post-Newtonian order in the static limit, employing the diagrammatic approach within the effecti…
Intersection Numbers from Companion Tensor Algebra
Giacomo Brunello, Vsevolod Chestnov, Pierpaolo Mastrolia
Twisted period integrals are ubiquitous in theoretical physics and mathematics, where they inhabit a finite-dimensional vector space governed by an inner product known as the inter…
Differential Space of Feynman Integrals: Annihilators and -module
Vsevolod Chestnov, Wojciech Flieger, Pierpaolo Mastrolia +3
We present a novel algorithm for constructing differential operators with respect to external variables that annihilate Feynman-like integrals and give rise to the associated $\mat…
Radiating Love: adiabatic tidal fluxes and modes up to next-to-next-to-leading post-Newtonian order
Manoj K. Mandal, Pierpaolo Mastrolia, Raj Patil +1
We present the analytic evaluation of the gravitational energy and of the angular momentum flux with tidal effects for inspiraling compact binaries, at next-to-next-to-leading post…