General Relativistic versus Newtonian: a universality in radiation hydrodynamics

Details General Relativistic versus Newtonian: a universality in radiation hydrodynamics General Relativistic versus Newtonian: a universality in radiation hydrodynamics

2010-04-23

arxiv.org/abs/1004.4197v1

Phys.Rev.D82:124005,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 4 figures

Scientific paper

10.1103/PhysRevD.82.124005

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, amongst 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 behaviour 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 by one order of magnitude for high temperatures. These conclusions are valid for a wide range of polytropic equations of state.

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