Backreaction for Einstein-Rosen waves coupled to a massless scalar field

Abstract

We present a one-parameter family of exact solutions to Einstein equations that may be used to study the nature of the Green-Wald backreaction framework. Our explicit example is a family of Einstein-Rosen waves coupled to a massless scalar field. This solution may be reinterpreted as a generalized three-torus polarized Gowdy cosmology with scalar and gravitational waves. We use it to illustrate essential properties of the Green-Wald approach. Among other things we show that within our model the Green-Wald framework uniquely determines backreaction for finite size inhomogeneities on a predefined background. The results agree with those calculated in the Charach-Malin approach. In the vacuum limit, the Green-Wald, the Charach-Malin and the Isaacson method imply identical backreaction as expected.

26 pages; minor changes to match published version

References in corpus (8)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• A new framework for analyzing the effects of small scale inhomogeneities in cosmology
• Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?
• How well is our universe described by an FLRW model?
• Averaging in Spherically Symmetric Cosmology
• A Simple, Heuristic Derivation of our "No Backreaction" Results
• Comments on Backreaction
• Nonlinear effects of general relativity from multiscale structure

Cited by in corpus (10)

• Inhomogeneous cosmology and backreaction: Current status and future prospects
• High-frequency backreaction for the Einstein equations under polarized $\mathbb{U}(1)$ symmetry
• Example of an inhomogeneous cosmological model in the context of backreaction
• Cosmological backreaction in higher-derivative gravity expansions
• High-frequency limits and null dust shell solutions in general relativity
• Standing waves in general relativity
• Chaos and Einstein-Rosen gravitational waves
• Einstein clusters as models of inhomogeneous spacetimes
• Freely falling bodies in a standing-wave spacetime
• Example of cross-polarized standing gravitational waves