Quadrupolar radiation in de Sitter: Displacement memory and Bondi metric

Abstract

We obtain the closed form expression for the metric perturbation around de Sitter spacetime generated by a matter source below Hubble scale both in generalized harmonic gauge and in Bondi gauge up to quadrupolar order in the multipolar expansion, including both parities (i.e. both mass and current quadrupoles). We demonstrate that such a source causes a displacement memory effect close to future infinity that originates, in the even-parity sector, from a $\Lambda$-BMS transition between the two non-radiative regions of future infinity.

arXiv comment40 pages, typos corrected, matches published version in CQG

References in corpus (40)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• The dS/CFT Correspondence
• Aspects of the BMS/CFT correspondence
• Science with the Einstein Telescope: a comparison of different designs
• On Soft Limits of Inflationary Correlation Functions
• New symmetries for the Gravitational S-matrix
• Digging deeper: Observing primordial gravitational waves below the binary black hole produced stochastic background
• An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
• The redshift evolution of the binary black hole merger rate: a weighty matter
• The $\Lambda$-BMS${}_4$ Charge Algebra
• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• Asymptotics with a positive cosmological constant: I. Basic framework
• Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities
• Asymptotics with a positive cosmological constant: III. The quadrupole formula
• The Asymptotic Behavior of Massless Fields and the Memory Effect
• Gravitational waves from isolated systems: Surprising consequences of a positive cosmological constant
• (A)dS${}_4$ in Bondi gauge
• The Cosmological Memory Effect
• Inflationary soft theorems revisited: A generalized consistency relation
• Multipole Expansion of Gravitational Waves: from Harmonic to Bondi coordinates
• Gravitational multipole moments from Noether charges
• 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
• Classical radiation by free-falling charges in de Sitter spacetime
• Gravitational Waves from Compact Sources in de Sitter Background
• 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 a basic conceptual confusion in gravitational radiation theory
• Green's function for gravitational waves in FRW spacetimes
• Gravitational wave memory and its tail in cosmology
• Cosmological Horizon and the Quadrupole Formula in de Sitter Background
• Energy of weak gravitational waves in spacetimes with a positive cosmological constant
• On Propagation of Energy Flux in de Sitter Spacetime
• On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$
• Relationship between Bondi-Sachs quantities and source of gravitational radiation in asymptotically de Sitter spacetime
• A generalization of the quadruple formula for the energy of gravitational radiation in de Sitter spacetime
• Symmetries of the asymptotically de Sitter spacetimes

Cited by in corpus (9)

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• Field-dependent diffeomorphisms and the transformation of surface charges between gauges
• Perturbative soft graviton theorems in de Sitter spacetime
• Using thermodynamics to learn gravitational wave physics
• Dynamical axisymmetric compact objects in General Relativity
• Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics