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–Lemaître–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.
Faraoni, V., Giusti, A., Fahim, B.H. (2021). Spherical inhomogeneous solutions of Einstein and scalar–tensor gravity: A map of the land. PHYSICS REPORTS, 925, 1-58 [10.1016/j.physrep.2021.04.003].
Spherical inhomogeneous solutions of Einstein and scalar–tensor gravity: A map of the land
Giusti, Andrea;
2021
Abstract
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–Lemaître–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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.


