Pulsar timing array and pulsar timing-revlewPulsar timing array is the observation anddataanalysis projects involving multiple pulsarsItisnotatelescopearray!
Pulsar timing array and pulsar timing – review Pulsar timing array is the observation and data analysis projects involving multiple pulsars. It is not a telescope array!
PTA philosophyEachpulsar'snoiseisnotspatiallycorrelatedInteresting signalarespatiallycorrelatedCheckthe correlation, we can detect theseinteresting signals!
PTA philosophy ⚫ Each pulsar's noise is not spatially correlated. ⚫ Interesting signal are spatially correlated. ⚫ Check the correlation, we can detect these interesting signals!
Gravitationawave
Gravitational wave
GWs. Gws are ripples of space-time. Because theyare usually weak, we treat them as theperturbation of Mankowski background:gab = Nab + habwhereNoo = -1, Noi = -1, Nii = dih<<1
GWs ⚫ Gws are ripples of space-time. Because they are usually weak, we treat them as the perturbation of Mankowski background: where
GwSFiled equation:Gab = 8πGTabWeak field approximation, neglect anything like h2Gab = Rab-gabR=[0°Opheca +0°aheb - nab0°dhab + nabc0ch -.chab,]nabr - 0Choose a gauge condition02 hab - 2nabh = -16πGTabhab = hab - 2nabhRe-parameterizea?hab = -16πGTab0?hab = 0Invacuum
Gws Filed equation: Weak field approximation, neglect anything like h^2 Choose a gauge condition Re-parameterize In vacuum