General Relativistic versus Newtonian: a universality in radiation hydrodynamics

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, 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.

8 pages, 4 figures

References in corpus (5)

• Fluid accretion onto a spherical black hole: relativistic description versus Bondi model
• Relativistic Radiative Transfer for Spherical Flows
• Universality and backreaction in a general-relativistic accretion of steady fluids
• The constant mean curvature slices of asymptotically flat spherical spacetimes
• Selfgravitation in a general-relativistic accretion of steady fluids

Cited by in corpus (9)

• Spherical steady accretion flows -- dependence on the cosmological constant, exact isothermal solutions and applications to cosmology
• Bondi accretion onto cosmological black holes
• Bondi-type accretion in the Reissner-Nordström-(anti-)de Sitter spacetime
• Accretion of the Vlasov gas on Reissner-Nordström black holes
• Michel accretion of a polytropic fluid with adiabatic index gamma > 5/3: Global flows versus homoclinic orbits
• Homoclinic accretion solutions in the Schwarzschild-anti-de Sitter spacetime
• Post-Newtonian Spherically Symmetrical Accretion
• Bondi Accretion in Trumpet Geometries
• Accretion and Structure of Radiating Disks