Gravitational wave memory in conformally flat spacetimes

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.

arXiv comment27 pages, 1 figure; v2: a new paragraph added at the beginning of Sec. 3, reference to Fig. 1 added in the text, typos corrected, published version

References in corpus (21)

• Detecting gravitational-wave memory with LIGO: implications of GW150914
• An electromagnetic analog of gravitational wave memory
• The redshift evolution of the binary black hole merger rate: a weighty matter
• A perturbative and gauge invariant treatment of gravitational wave memory
• Outlook for detecting the gravitational wave displacement and spin memory effects with current and future gravitational wave detectors
• The Cosmological Memory Effect
• Global aspects of radiation memory
• Gravitational wave memory in $\Lambda$CDM cosmology
• Gravitational wave memory in de Sitter spacetime
• Note on soft theorems and memories in even dimensions
• Complete conformal classification of the Friedmann-Lemaitre-Robertson-Walker solutions with a linear equation of state
• Soft pion theorem, asymptotic symmetry and new memory effect
• More On Cosmological Gravitational Waves And Their Memories
• FRW Universe Models in Conformally Flat Spacetime Coordinates. I: General Formalism
• On electromagnetic and colour memory in even dimensions
• Gravitational wave memory and its tail in cosmology
• Memory effect in Yang-Mills theory
• Memory Effect in Anti-de Sitter Spacetime
• Electromagnetic Memory Effect Induced by Axion Dark Matter
• Curvature dynamics in General Relativity
• Asymptotic symmetries and memories of gauge theories in FLRW spacetimes

Cited by in corpus (2)

• Can gravitational-wave memory help constrain binary black-hole parameters? A LISA case study
• Sensitivity of $W$-boson measurements to low-mass right-handed neutrinos