Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: A map of the land

We review spherical and inhomogeneous analytic solutions of the field equations of Einstein and of scalar-tensor gravity, including Brans-Dicke theory, non-minimally (possibly conformally) coupled scalar fields, Horndeski, and beyond Horndeski/DHOST gravity. The zoo includes both static and dynamic solutions, asymptotically flat, and asymptotically Friedmann-Lemaitre-Robertson-Walker ones. We minimize overlap with existing books and reviews and we place emphasis on scalar field spacetimes and on geometries that are ''general'' within certain classes. Relations between various solutions, which have largely emerged during the last decade, are pointed out. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

This review discusses spherical and inhomogeneous analytic solutions of the field equations of Einstein and scalar-tensor gravity, emphasizing different theories and their relations, while minimizing overlap with existing literature. The dynamic and static solutions, asymptotically flat or Friedmann-Lemaitre-Robertson-Walker, are explored within certain classes of geometries. Relations between various solutions, mostly emerged in the last decade, are highlighted.