Phenomenological constraints on accretion of non-annihilating dark matter on the PSR B1257+12 pulsar from orbital dynamics of its planets
Abstract
We analytically compute the effects that a mass variation rate M/M of a pulsar may have on the changes τ in the times of arrival of its pulses due to test particle companions, and on their orbital dynamics. We apply our results to the planetary system of the PSR B1257+12 pulsar, located in the Galaxy at 600 pc from us, to phenomenologically constrain a putative accretion of non-annihilating dark matter on the hosting neutron star. (Abridged)
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