Symmetry of Brans-Dicke gravity as a novel solution-generating technique

Abstract

A symmetry of Brans-Dicke gravity in (electro-)vacuo or in the presence of conformally invariant matter is presented and used as a solution-generating technique starting from a known solution as a seed. This novel technique is applied to generate, as examples, new spatially homogeneous and isotropic cosmologies, a 3-parameter family of spherical time-dependent spacetimes conformal to a Campanelli-Lousto geometry, and a family of cylindrically symmetric geometries.

arXiv commentAdded new section on f(R) gravity, new references, and extra explanation, typographical errors corrected. Matches version accepted in Phys. Rev. D

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• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
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• Integrable modified gravity cosmological models with an additional scalar field
• Thermal stability of stealth and de Sitter spacetimes in scalar-tensor gravity
• A family of scalar-Einstein and vacuum Brans-Dicke axisymmetric solutions
• Two new approaches to the anomalous limit of Brans-Dicke to Einstein gravity
• Wyman's "other" scalar field solution, Sultana's generalization, and their Brans-Dicke and $R^2$ relatives
• Disformal mappings of spherical DHOST geometries
• On a WKB formula for echoes
• Quasilocal mass in scalar-tensor gravity: spherical symmetry
• Rotating black holes in valid vector-tensor theories after GW170817
• Brans-Dicke analogue of the Roberts geometry
• Critical phenomena in gravitational collapse of Husain-Martinez-Nunez scalar field
• A new approach to the thermodynamics of scalar-tensor gravity
• Stealth metastable state of scalar-tensor thermodynamics