ABSTRACT
The paucity of observed supermassive black hole binaries (SMBHBs) may imply that the gravitational wave background (GWB) from this population is anisotropic, rendering existing analyses suboptimal. We present the first constraints on the angular distribution of a nanohertz stochastic GWB from circular, inspiral-driven SMBHBs using the 2015 European Pulsar Timing Array data. Our analysis of the GWB in the ~2-90 nHz band shows consistency with isotropy, with the strain amplitude in l>0 spherical harmonic multipoles â²40% of the monopole value. We expect that these more general techniques will become standard tools to probe the angular distribution of source populations.
ABSTRACT
We discuss strong gravitational lensing of gravitational waves from the merging of massive black hole binaries in the context of the LISA mission. Detection of multiple events would provide invaluable information on competing theories of gravity, evolution and formation of structures and, possibly, constraints on H0 and other cosmological parameters. Most of the optical depth for lensing is provided by intervening massive galactic halos, for which wave optics effects are negligible. Probabilities to observe multiple events are sizable for a broad range of formation histories. For the most optimistic models, up to â² 4 multiple events with a signal to noise ratio â³ 8 are expected in a 5-year mission. Chances are significant even for conservative models with either light (â² 60%) or heavy (â² 40%) seeds. Because of lensing amplification, some intrinsically too faint signals are brought over threshold (â² 2 per year).
