General Relativistic Constraints on the Equation of State of Dense Matter Implied by Kilohertz Quasi-periodic Oscillations in Neutron-Star X-Ray Binaries

If the observed millisecond variability in the X-ray flux of several neutron-star low-mass X-ray binaries (LMXBs) is interpreted within a general-relativistic framework (Kluzniak, Michelson \\& Wagoner 1990) extant at the time of discovery, severe constraints can be placed on the equation of state (e.o.s.) of matter at supranuclear densities. The reported maximum frequency (1.14 +- 0.01 kHz) of quasiperiodic oscillations observed in sources as diverse as Sco X-1 and 4U 1728-34 would imply that the neutron star masses in these LMXBs are M > 1.9 M_solar, and hence many equations of state would be excluded. Among the very few still viable equations of state are the e.o.s. of Phandaripande and Smith (1975), and e.o.s. AV14 + UVII of Wiringa, Fiks \\& Fabrocini (1988).

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