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SUMMARY:Tabasum Rahnuma “Recursive Construction of the Gravitational Fie
 ld via Multipolar Post-Minkowskian Expansion”
DTSTART:20260611T070000Z
DTEND:20260611T090000Z
DTSTAMP:20260616T124200Z
UID:indico-event-1313@indico.ibs.re.kr
DESCRIPTION:Speakers: Tabasum Rahnuma (KIAS)\n\nWe construct the exterior 
 metric of a stationary compact source within the multipolar post-Minkowski
 an (MPM) formalism\, reformulated directly in momentum space. The MPM fram
 ework solves the vacuum Einstein equations outside a compact source by exp
 anding perturbatively in Newton's constant(G)\, and decomposing the metric
  into symmetric trace-free mass and current multipole moments. Working in 
 momentum space\, where the multipolar structure emerges naturally from the
  recursive field equations\, we solve Einstein's equations iteratively to 
 higher PM orders. The recursive structure makes explicit the nonlinear mul
 tipole interactions — including monopole\, quadrupole\, and higher-order
  couplings — and simplifies the organization of tensor structures at eac
 h PM order.\nAs a consistency check\, we match the generic multipolar solu
 tion to the Kerr metric\, verifying that the recursive construction reprod
 uces the full Kerr multipole tower and its defining moment relations. This
  confirms that the momentum-space MPM formulation correctly captures the n
 onlinear structure of rotating vacuum solutions. Besides\, to establish th
 e formalism\, I will show how to construct the Kerr black hole metric inde
 pendently via solving Einstein’s equations recursively\, where the pertu
 rbation theory is a double expansion in G and spin-length a. The framewor
 k provides a technically efficient basis for higher-order multipolar calcu
 lations and for connecting classical multipolar expansions with modern amp
 litude-based approaches to general relativity.\n\nhttps://indico.ibs.re.kr
 /event/1313/
URL:https://indico.ibs.re.kr/event/1313/
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