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.
2021
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].
Faraoni, Valerio; Giusti, Andrea; Fahim, Bardia H.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/1029774
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