Gravitational wave memory and its tail in cosmology

Abstract

We study gravitational wave memory effect in the FRW cosmological model with matter and cosmological constant. Since the background is curved, gravitational radiation develops a tail part arriving after the main signal that travels along the past light cone of the observer. First we discuss first order gravitational wave sourced by a binary system, and find that the tail only gives a negligible memory, in accord with previous results. Then we study the nonlinear memory effect coming from induced gravitational radiation sourced by first order gravitational radiation propagating over cosmological distances. In the light cone part of the induced gravitational wave we find a novel term missed in previous studies of the cosmological memory effect. Furthermore, we show that the induced gravitational wave has a tail part that slowly accumulates after the light cone part has passed and grows to a sizeable magnitude over a cosmological timescale. This tail part of the memory effect will be a new component in the stochastic gravitational wave background.

arXiv comment51 pages, 15 figures; v2: references added, typos corrected, a couple of explanatory comments in Sec. 4.1 added, argument in Sec. 4.3 revised, published version

References in corpus (37)

• Quasinormal modes of black holes and black branes
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• The motion of point particles in curved spacetime
• Gravitational radiation from compact binary systems: gravitational waveforms and energy loss to second post-Newtonian order
• The gravitational-wave memory effect
• Post-Newtonian corrections to the gravitational-wave memory for quasicircular, inspiralling compact binaries
• The redshift evolution of the binary black hole merger rate: a weighty matter
• Nonlinear gravitational-wave memory from binary black hole mergers
• A perturbative and gauge invariant treatment of gravitational wave memory
• Mergers of nonspinning black-hole binaries: Gravitational radiation characteristics
• On the Gauge Invariance of Cosmological Gravitational Waves
• Asymptotics with a positive cosmological constant: III. The quadrupole formula
• BMS in Cosmology
• The Cosmological Memory Effect
• Gravitational wave memory in $\Lambda$CDM cosmology
• Gravitational wave memory in de Sitter spacetime
• Mass loss by a scalar charge in an expanding universe
• Perturbative Quantum Gravity And Newton's Law On A Flat Robertson-Walker Background
• Generation of gravitational waves by generic sources in de Sitter space-time
• Gravitational-wave memory revisited: memory from the merger and recoil of binary black holes
• BMS-like symmetries in cosmology
• A simple estimate of gravitational wave memory in binary black hole systems
• Gravitational Wave Memory In dS${}_{4+2n}$ and 4D Cosmology
• Transverse-Traceless Gravitational Waves In A Spatially Flat FLRW Universe: Causal Structure from Dimension Reduction
• On the Tail Problem in Cosmology
• More On Cosmological Gravitational Waves And Their Memories
• Tails of plane wave spacetimes: Wave-wave scattering in general relativity
• On a basic conceptual confusion in gravitational radiation theory
• Remarks on the maximum luminosity
• Green's function for gravitational waves in FRW spacetimes
• Gravitational wave memory and the wave equation
• A simple analytic example of the gravitational wave memory effect
• Graviton Mass and Memory
• Asymptotic symmetries in spatially flat FRW
• Memory Effect in Anti-de Sitter Spacetime
• Group velocity of gravitational waves in an expanding universe
• Gravitational glint: Detectable gravitational wave tails from stars and compact objects

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• Memory of a Random Walk: Astrometric deflections from gravitational wave memory accumulation over cosmological scales
• Curvature dynamics in General Relativity
• Asymptotic symmetries and memories of gauge theories in FLRW spacetimes
• Gravitational wave memory in conformally flat spacetimes
• Cosmological memory effect in scalar-tensor theories
• Gravitational Wave Memory Imprints on the CMB from Populations of Massive Black Hole Mergers
• Inflationary gravitational wave background as a tail effect
• On the Gravitational Precession Memory Effect for an Ensemble of Gyroscopes
• Modeling the BMS transformation induced by a binary black hole merger
• Gravitational memory meets astrophysical environments: exploring a new frontier through osculations