Memory Effect of Gravitational Wave Pulses in PP-Wave Spacetimes
arXiv:2309.06208 · doi:10.1088/1402-4896/ad5389
Abstract
In this paper, we study the gravitational memory effect in pp-wave spacetimes due to the passage of a pulse having the form of a ramp profile through this spacetime. We have analyzed the effect of this pulse on the evolution of nearby geodesics, and have determined analytical solutions of the geodesic equations in the Brinkmann coordinates. We have also examined the changes in the separation between a pair of geodesics and their velocity profiles. The separation (along or -direction) increases monotonically from an initial constant value. In contrast, the relative velocity grows from zero and settles to a final non-zero constant value. These resulting changes are retained as memory after the pulse dies out. The nature of this memory is similar to that determined by earlier workers using Gaussian, square, and other pulse profiles, thereby validating the universality of gravitational wave memory.
arXiv comment13 pages, 9 figures
References in corpus (52)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Tests of general relativity with GW150914
- Characterization of the LIGO detectors during their sixth science run
- Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
- Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order
- Celestial Mechanics, Conformal Structures, and Gravitational Waves
- New Gravitational Memories
- The gravitational-wave memory effect
- Detecting gravitational-wave memory with LIGO: implications of GW150914
- A New Class of Exact Solutions in String Theory
- Post-Newtonian corrections to the gravitational-wave memory for quasicircular, inspiralling compact binaries
- Digging deeper: Observing primordial gravitational waves below the binary black hole produced stochastic background
- Nonlinear gravitational-wave memory from binary black hole mergers
- A perturbative and gauge invariant treatment of gravitational wave memory
- The Memory Effect for Plane Gravitational Waves
- Spin memory effect for compact binaries in the post-Newtonian approximation
- Soft Gravitons & the Memory Effect for Plane Gravitational Waves
- Center-of-mass angular momentum and memory effect in asymptotically flat spacetimes
- Subtracting compact binary foreground sources to reveal primordial gravitational-wave backgrounds
- Forecasts for detecting the gravitational-wave memory effect with Advanced LIGO and Virgo
- Geodesics and geodesic deviation for impulsive gravitational waves
- Prospects for detecting gravitational waves at 5 Hz with ground-based detectors
- Penrose Limits and Spacetime Singularities
- The Memory Remains (Undetected): Updates from the Second LIGO/Virgo Gravitational-Wave Transient Catalog
- Examination of a simple example of gravitational wave memory
- Gravitational wave memory in CDM cosmology
- The NANOGrav 11-Year Data Set: Limits on Gravitational Wave Memory
- Conformal symmetry classes for pp-wave spacetimes
- Subtracting Compact Binary Foregrounds to Search for Subdominant Gravitational-Wave Backgrounds in Next-Generation Ground-Based Observatories
- On the existence of horizons in spacetimes with vanishing curvature invariants
- The Precession Caused by Gravitational Waves
- Memory Effect for Impulsive Gravitational Waves
- Gravitational-wave tails of memory
- Memory, Penrose Limits and the Geometry of Gravitational Shockwaves and Gyratons
- Detecting the gravitational wave memory effect with TianQin
- Bayesian reconstruction of gravitational wave bursts using chirplets
- Memory effect, conformal symmetry and gravitational plane waves
- Geodesic congruences in exact plane wave spacetimes and the memory effect
- Pulsar Timing Perturbations from Galactic Gravitational Wave Bursts with Memory
- Memory Effect and BMS-like Symmetries for Impulsive Gravitational Waves
- Memory effects in Kundt wave spacetimes
- Kundt geometries and memory effects in the Brans-Dicke theory of gravity
- Detection of Gravitational memory effect in LISA using triggers from ground-based detectors
- Geodesic congruences, impulsive gravitational waves and gravitational memory
- Plane Gravitational Waves, the Kinetic Energy of Free Particles and the Memory Effect
- A simple analytic example of the gravitational wave memory effect
- Radiation Memory, Boosted Schwarzschild Spacetimes and Supertranslations
- Variations of the Energy of Free Particles in the pp-Wave Spacetimes
- The Work-Energy Relation for Particles on Geodesics in the pp-Wave Spacetimes
- Riemann curvature of a boosted spacetime geometry
- Memory effect of the pp waves with torsion
- Velocity memory effect without soft particles