504 citations · 2.7k across the 41 of their papers we have counts for
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hep-th2021
The Geroch Group in One Dimension
Robert F. Penna
We study the dimensional reduction of general relativity to a single null spacetime dimension. The dimensionally reduced theory is a theory of six scalar fields governed by three c…
hep-th2021
A Lax Operator for Supergravity
Robert F. Penna
General relativity and supergravity become integrable systems after dimensional reduction to two spacetime dimensions. This means the equations of motion can be encoded in the flat…
gr-qc2021★ 8 cited
Einstein-Rosen Waves and the Geroch Group
Robert F. Penna
Under the action of the Geroch group, the Minkowski metric can be transformed into any vacuum metric with two commuting Killing vectors. In principle, this reduces the problem of d…