Published August 2021 | Version v1
Journal article

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

  • 1. Department of Physics & Astronomy, Bishop's University, 2600 College St., Sherbrooke, Québec, Canada J1M 1Z7 (United States)
  • 2. Institute for Theoretical Physics, ETH Zurich, Wolfgang-Pauli-Strasse 27, 8093, Zurich (Switzerland)

Description

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.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.physrep.2021.04.003

Additional details

Identifiers

DOI
10.1016/j.physrep.2021.04.003;
PII
S0370157321001599;

Publishing Information

Journal Title
Physics Reports
Journal Volume
925
Journal Page Range
p. 1-58
ISSN
0370-1573
CODEN
PRPLCM

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
54021989
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; EXACT SOLUTIONS; FIELD EQUATIONS; GENERAL RELATIVITY THEORY; GEOMETRY; GRAVITATION; SCALAR FIELDS; SCALARS; SPHERICAL CONFIGURATION; SYMMETRY; TENSORS
Descriptors DEC
CONFIGURATION; EQUATIONS; FIELD THEORIES; MATHEMATICAL SOLUTIONS; MATHEMATICS; RELATIVITY THEORY

Optional Information

Copyright
Copyright (c) 2021 Elsevier B.V. All rights reserved.