Overlap Reduction Functions for Pulsar Timing Arrays in Alternative Theories of Gravity

Astronomy and Astrophysics – Astronomy

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Scientific paper

In the next decade gravitational waves could be detected using a pulsar timing array. In an effort to develop optimal detection strategies for stochastic backgrounds of gravitational waves in generic metric theories of gravity, we investigate the overlap reduction functions for these theories and discuss their features. We show that sensitivity increases for non-transverse gravitational waves and discuss the physical origin of this effect. We calculate the overlap reduction functions for the current NANOGrav Pulsar Timing Array (PTA) and show that the sensitivity to the vector and longitudinal modes can increase dramatically for pulsar pairs with small angular separations. For example, the J1853-J1857 pulsar pair, with an angular separation of 3 degrees, is about 104 times more sensitive to the longitudinal component of the stochastic background, if it's present, than the transverse components.
This project was completed in part with funding from the Wisconsin Space Grant Consortium and the NSF through CAREER award number 09955929 and PIRE award number 0968126.

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