5–9 Jul 2026
University of Canterbury
Pacific/Auckland timezone

The (non-)uniqueness of multipole moments beyond general relativity

9 Jul 2026, 13:30
20m
Room E5 (Rātā / Engineering Core Building, University of Canterbury)

Room E5

Rātā / Engineering Core Building, University of Canterbury

63 Creyke Road, Ilam, Christchurch 8041, New Zealand
Parallel Session Talk Parallel sessions

Speaker

Arthur Suvorov (University of Alicante)

Description

As proven by Simon, Beig, and others from the 1960s on, Einstein spacetimes are uniquely decomposable into a set of multipole moments. The Geroch-Hansen or Thorne moments are often used to categorise radiation patterns, tidal deformations, geodesics, and other phenomena associated with compact objects, and these theorems ensure such descriptions are complete in some sense. What if we drop the "Einstein" qualifier? In fact, I will argue via counterexamples that this breaks the uniqueness properties and thus it is ambiguous to describe astrophysical observables in terms of moments unless the theory is fixed a priori. This has implications for null tests of general relativity. More generally, I will discuss why these degeneracies could be important to recognise in the context of several well-studied results, like the "I-Love-Q" relations featuring a quadrupole moment (Q).

Research Area Mathematical and Numerical Relativity

Author

Arthur Suvorov (University of Alicante)

Co-author

George Pappas (AUTH)

Presentation materials