New inhomogeneous universes in scalar-tensor and f(R) gravity

Abstract

A new family of spherically symmetric inhomogeneous solutions of Brans-Dicke gravity is generated using the Fonarev solution of general relativity as a seed and a map from the Einstein to the Jordan conformal frame. The Brans-Dicke scalar field self-interacts with a power-law or inverse power-law potential in the Jordan frame. This 4-parameter family of geometries, which is dynamical and asymptotically Friedmann-Lemaitre-Robertson-Walker, contains as special cases two previously known classes of solutions and solves also the field equations of $f(R)=R^n$ gravity

12 pages, no figures

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• Observational Constraints and Cosmological Implications of Scalar-Tensor $f(R,T)$ Gravity
• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• Searching for dynamical black holes in various theories of gravity
• Traversable wormhole in logarithmic $f(R)$ gravity by various shape and redshift functions
• Morris-Thorne-type wormhole with global monopole charge and the energy conditions
• Disformal mappings of spherical DHOST geometries
• Quasilocal mass in scalar-tensor gravity: spherical symmetry
• New time-dependent solutions of viable Horndeski gravity
• A new approach to the thermodynamics of scalar-tensor gravity