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gr-qc2026
On the topology of the space of vacuum initial data sets
Romain Gicquaud, Jonathan Glöckle
We show that the space of vacuum initial data sets on a closed manifold often has many non-trivial homotopy groups. The starting point is a result of the second named author, which…
gr-qc2026
A new approach towards the construction of initial data in general relativity with positive Yamabe invariant and arbitrary mean curvature
Armand Coudray, Romain Gicquaud
This paper revisits the classical construction of initial data using the conformal method, as originally proposed by Holst, Nagy, and Tsogtgerel and later refined by Maxwell. We de…