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

Andrea Giusti (ETH Zurich); Bardia H. Fahim (Bishop's U.); Valerio Faraoni (Bishop's U.)

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

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arxiv 2101.00266 v2 pith:RD7JVHIN submitted 2021-01-01 gr-qc astro-ph.HE

Valerio Faraoni (Bishop's U.) , Andrea Giusti (ETH Zurich) , Bardia H. Fahim (Bishop's U.) This is my paper · ORCID

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keywords solutionsgravityasymptoticallyeinsteinfieldhorndeskiinhomogeneousscalar

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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-Lema\^itre-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.

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Nonlinear electrodynamics and stability of spherically symmetric space-times in scalar-tensor gravity
gr-qc 2026-07 accept novelty 5.0 of 10

For NED with Maxwell weak-field limit, monopole stability of STT solutions with F=0 is identical to Maxwell-STT, and the zero-charge limit of V_eff erases all NED traces.

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