General relativistic versus Newtonian: A universality in spherically symmetric radiation hydrodynamics for quasistatic transonic accretion flows
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Date
2010
Authors
Malec, Edward
Rembiasz, Tomasz
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American Physical Society
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Abstract
We compare Newtonian and general relativistic descriptions of the stationary accretion of self-gravitating fluids onto compact bodies. Spherical symmetry and thin gas approximation are assumed. Luminosity depends, among other factors, on the temperature and the contribution of gas to the total mass, in both-general relativistic (L-GR) and Newtonian (L-N)-models. We discover a remarkable universal behavior for transonic flows: the ratio of respective luminosities L-GR/L-N is independent of the fractional mass of the gas and depends on asymptotic temperature. It is close to 1 in the regime of low asymptotic temperatures and can grow several times at high temperatures. These conclusions are valid for a wide range of polytropic equations of state.
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Keywords
General relativistic , Newtonian , Asymptotic temperature , Spherical symmetry
Citation
Malec, E. and Rembiasz, T. (2010) 'General relativistic versus Newtonian: A universality in spherically symmetric radiation hydrodynamics for quasistatic transonic accretion flows', Physical Review D, 82(12), 124005 (9pp). doi: 10.1103/PhysRevD.82.124005
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© 2010, American Physical Society