Post Newtonian SPH

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  • 8 October 1999
Abstract
We introduce an adaptation of the well known Tree+SPH numerical scheme to Post Newtonian (PN) hydrodynamics and gravity. Our code solves the (0+1+2.5)PN equations. These equations include Newtonian hydrodynamics and gravity (0PN), the first order relativistic corrections to those (1PN) and the lowest order gravitational radiation terms (2.5PN). We test various aspects of our code using analytically solvable test problems. We then proceed to study the 1PN effects on binary neutron star coalescence by comparing calculations with and without the 1PN terms. We find that the 1PN terms together with the stiffness of the equations of state of the neutron stars have a large effect on the maximum rest mass density in the system which could increase the probability of forming a black hole as the final outcome of such a coalescence. This also affects the profile of the gravitational wave luminosity of the system.

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