Gravitational wave memory in conformally flat spacetimes
Niko Jokela, K. Kajantie, Miika Sarkkinen
TL;DR
This paper investigates the gravitational wave memory effect in conformally flat spacetimes, deriving general formulas and applying them to cosmological models, highlighting potential observational signatures of spatial curvature.
Contribution
It provides a general framework for analyzing gravitational wave memory in conformally flat backgrounds and explores the impact of spatial curvature on observable effects.
Findings
New terms from spatial curvature affect gravitational wave memory.
Potential detectability of curvature effects in future gravitational wave observations.
Formulas applicable to all Friedmann-Robertson-Walker metrics.
Abstract
We study the gravitational wave memory effect in spacetimes related to flat space by a conformal transformation. The discussion is general but the gravitational wave length scale is assumed to be small compared with the background curvature radius. The general formulas are applied to Friedmann-Robertson-Walker metrics of all spatial curvatures. The effect of new terms stemming from spatial curvature is potentially detectable in future gravitational wave measurements.
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Taxonomy
TopicsPulsars and Gravitational Waves Research · Geophysics and Sensor Technology · Geophysics and Gravity Measurements