Abstract
Abstract
The Hellings and Downs correlation curve describes
the correlation of the timing residuals from pairs of pulsars as a function of their angular separation on the sky and is
a smoking-gun signature for the detection of an isotropic stochastic background of gravitational waves. We show that it can be easily obtained from
realizing that Lorentz transformations are conformal transformations
on the celestial sphere and from the conformal properties of the two-point correlation of the timing residuals. This result allows several generalizations, e.g. the calculation of the three-point correlator of the time residuals and the inclusion of additional polarization modes (vector and/or scalar) arising in alternative
theories of gravity.
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