Future extensions of one-variable supergravity solutions

Construct explicit one-variable solutions for more general ungauged four-dimensional N=2 supergravity models, extend the analysis to gauged supergravity theories with scalar potentials, and determine the global, causal, and thermodynamic properties of the resulting spacetimes.

Background

The paper develops four families of one-variable solutions for broad classes of gravitational theories coupled to scalar and Abelian gauge fields, with applications to ungauged N=2, D=4 supergravity and theories whose scalar manifolds are SL(N,R)/SO(N,R). The authors explicitly identify unresolved extensions beyond the models treated: obtaining explicit solutions in more general ungauged N=2 theories and determining whether scalar potentials in gauged supergravity generate additional classes of one-variable geometries.

The paper also leaves unresolved the geometric and physical characterization of the constructed spacetimes, specifically their global structure, causal behavior, and thermodynamic properties. These questions would help establish the broader significance and physical applicability of the solution families.