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


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Date

2021-08-20

Publication Type

Review Article

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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 Elsevier B.V.)

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published

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Volume

925

Pages / Article No.

1 - 58

Publisher

Elsevier

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Subject

Exact solution; Spherical symmetry; Variable order; General relativity; scalar–tensor gravity

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Notes

Funding

895648 - Cosmological Dark Energy Condensate (CosmoDEC): A unified description of the Dark Universe (EC)

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