General relativistic effects and the radius and mass of X-ray bursters

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Neutron Stars, Relativistic Effects, Stellar Mass, Stellar Models, X Ray Sources, Anisotropy, Bursts, Hydrostatics, Radii, Stellar Luminosity, Stellar Temperature, Thermonuclear Reactions

Scientific paper

An X-ray burster model is considered which involves thermonuclear flashes on an accreting neutron star. Previous studies of this model have assumed that the neutron star is in hydrostatic equilibrium during a burst and that the burst luminosity is isotropic. It is shown that when general relativity is taken into account, the assumption of hydrostatic equilibrium and observed peak burst temperatures lead to stringent upper limits on the mass and radius of the neutron star. Upper limits of approximately 0.31 solar mass and 1.9 km are obtained, which conflict with the values resulting from neutron-star models. It is found, however, that this contradiction can be avoided if the burst luminosity is highly anisotropic or if the neutron star is not in hydrostatic equilibrium during a burst.

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