Gravitational-wave memory is a permanent distortion of space-time that accompanies explosive events in astrophysics. It is particularly strong if a significant part of the system's rest-mass is anisotropically emitted as relativistic radiation. The only knwown situation where the memory is potentially detectable, is a merger of two black holes, during which several percent of their rest mass leaves the system anisotropically. Mark Favata in 2009 showed that the memory will likely be detactable by LISA. I worked on exploring other options, i.e. GW the memory detetion by Pulsar Timing Arrays (work with Rutger van Haasteren ) and by LIGO (with Paul Lasky, Eric Thrane, Jonathan Blackman, and Yanbei Chen). The predictions are not as promising as those for LISA, but present a considerable methodological interest. Hence the considerable number of citations to the papers below:
Gravitational-wave memory and pulsar timing arrays. This paper
argues that the memomry from mergers of supermassive black holes is in principle detectable by PTAs, however the expected rate is very small (perhaps one will
need to time pulsars for several generations before this will be possible). Similar work was simultaneously and independently done by
Maxim Pshirkov, D. Baskaran, and Konstantin (Kostya) Postnov and by Naoki Seto.
The methodological interest in our paper is that it presents, for the first time, the time-domain Wiener-Filter formalism as
applied to PTAs. The peculiarity of this situation is that one needs to deal with the corrections to the pulsar timing residuals due to variations
in the pulsar timing-model parameters.
Detecting Gravitational-Wave Memory with LIGO: Implications of GW150914. This paper argues that the memomry from mergers of stellar-mass black holes is potentially detectable by LIGO. However, the memory signal from a sinlge merger is too weak to be detectable, and one needs collective evidence from many strong mergers to prove the existence of memory. Like with PTAs, one needs a lot of time and patience. Therefore my personal bet is that LISA will be the first instrument to see Gravitational-Wave memory, despite its planned launch in the now-distant 2034.