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New paper day! 🥳 arxiv.org/abs/2506.11841

arxiv.orgThe Volume-Renormalized Mass from a Hamiltonian PerspectiveWe demonstrate that the volume-renormalized mass for asymptotically hyperbolic manifolds recently introduced by the authors can be deduced from a reduced Hamiltonian perspective. In order to do this, ...

16/6/25, 5:11 am0 reposts10 likes

Steve McCormick

@quasilocal.com

16 June 2025

Recently, we (with Mattias Dahl and Klaus Kröncke) gave a definition of a new geometric "mass-like" invariant for asymptotically (locally) hyperbolic manifolds, which we've found satisfies some interesting properties. This paper is our attempt to understand it a little better.

Steve McCormick

@quasilocal.com

16 June 2025

I say "attempt" because admittedly, I still don't really understand it all too well but seems we can prove stuff about it. We were however able to show that the quantity arises as the value of a reduced Hamiltonian for the Einstein equations, which I think is kind of neat