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Testing the universality of free fall by tracking a pulsar in a stellar triple system

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 Added by Anne Archibald
 Publication date 2018
  fields Physics
and research's language is English




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Einsteins theory of gravity, general relativity, has passed stringent tests in laboratories, elsewhere in the Solar Sytem, and in pulsar binaries. Nevertheless it is known to be incompatible with quantum mechanics and must differ from the true behaviour of matter in strong fields and at small spatial scales. A key aspect of general relativity to test is the strong equivalence principle (SEP), which states that all freely falling objects, regardless of how strong their gravity, experience the same acceleration in the same gravitational field. Essentially all alternatives to general relativity violate this principle at some level. Previous direct tests of the SEP are limited by the weak gravity of the bodies in the Earth-Moon-Sun system or by the weak gravitational pull of the Galaxy on pulsar-white dwarf binaries. PSR~J0337+1715 is a hierarchical stellar triple system, where the inner binary consists of a millisecond radio pulsar in a $1.6$-day orbit with a white dwarf. This inner binary is in a $327$-day orbit with another white dwarf. In this system, the pulsar and the inner companion fall toward the outer companion with an acceleration about $10^8$ times greater than that produced by falling in the Galactic potential, and the pulsars gravitational binding energy is roughly $10%$ of its mass. Here we report that in spite of the pulsars strong gravity, the accelerations experienced by it and the inner white dwarf differ by a fraction of no more than $2.6times 10^{-6}$ ($95%$ confidence level). We can roughly compare this to other SEP tests by using the strong-field Nordtvedt parameter $hateta_N$. Our limit on $hateta_N$ is a factor of ten smaller than that obtained from (weak-field) Solar-System SEP tests and a factor of almost a thousand smaller than that obtained from other strong-field SEP tests.



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Gravitationally bound three-body systems have been studied for hundreds of years and are common in our Galaxy. They show complex orbital interactions, which can constrain the compositions, masses, and interior structures of the bodies and test theories of gravity, if sufficiently precise measurements are available. A triple system containing a radio pulsar could provide such measurements, but the only previously known such system, B1620-26 (with a millisecond pulsar, a white dwarf, and a planetary-mass object in an orbit of several decades), shows only weak interactions. Here we report precision timing and multi-wavelength observations of PSR J0337+1715, a millisecond pulsar in a hierarchical triple system with two other stars. Strong gravitational interactions are apparent and provide the masses of the pulsar (1.4378(13) Msun, where Msun is the solar mass and the parentheses contain the uncertainty in the final decimal places) and the two white dwarf companions (0.19751(15) Msun and 0.4101(3) Msun), as well as the inclinations of the orbits (both approximately 39.2 degrees). The unexpectedly coplanar and nearly circular orbits indicate a complex and exotic evolutionary past that differs from those of known stellar systems. The gravitational field of the outer white dwarf strongly accelerates the inner binary containing the neutron star, and the system will thus provide an ideal laboratory in which to test the strong equivalence principle of general relativity.
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