Universality of free fall from the orbital motion of a pulsar in a stellar triple system.

Archibald, Anne M; Gusinskaia, Nina V; Hessels, Jason W T; Deller, Adam T; Kaplan, David L; Lorimer, Duncan R; Lynch, Ryan S; Ransom, Scott M et al. · Nature · 2018

basic_science · Level V

Where this comes from

Abstract

Einstein's theory of gravity-the general theory of relativity<sup>1</sup>-is based on the universality of free fall, which specifies that all objects accelerate identically in an external gravitational field. In contrast to almost all alternative theories of gravity<sup>2</sup>, the strong equivalence principle of general relativity requires universality of free fall to apply even to bodies with strong self-gravity. Direct tests of this principle using Solar System bodies<sup>3,4</sup> are limited by the weak self-gravity of the bodies, and tests using pulsar-white-dwarf binaries<sup>5,6</sup> have been limited by the weak gravitational pull of the Milky Way. PSR J0337+1715 is a hierarchical system of three stars (a stellar triple system) in which a binary consisting of a millisecond radio pulsar and a white dwarf in a 1.6-day orbit is itself in a 327-day orbit with another white dwarf. This system permits a test that compares how the gravitational pull of the outer white dwarf affects the pulsar, which has strong self-gravity, and the inner white dwarf. Here we report that the accelerations of the pulsar and its nearby white-dwarf companion differ fractionally by no more than 2.6 × 10<sup>-6</sup>. For a rough comparison, our limit on the strong-field Nordtvedt parameter, which measures violation of the universality of free fall, is a factor of ten smaller than that obtained from (weak-field) Solar System tests<sup>3,4</sup> and a factor of almost a thousand smaller than that obtained from other strong-field tests<sup>5,6</sup>.