Eddington Capture Sphere around luminous stars

TL;DR

This paper explores the Eddington Capture Sphere around luminous stars, demonstrating its stability and impact on accretion processes, with implications for understanding particle trapping and stellar accretion cross-sections.

Contribution

It extends previous work by showing the stability of the Eddington sphere and analyzing its effects on accretion and particle trapping near luminous stars.

Findings

The Eddington sphere is a stable equilibrium point for particles.

Accretion cross-section is reduced below geometric size due to trapping.

Relativistic particles can directly reach the stellar surface.

Abstract

Test particles infalling from infinity onto a compact spherical star with a mildly super-Eddington luminosity at its surface are typically trapped on the "Eddington Capture Sphere" and do not reach the surface of the star. The presence of a sphere on which radiation pressure balances gravity for static particles was first discovered some twenty five years ago. Subsequently, it was shown to be a capture sphere for particles in radial motion, and more recently also for particles in non-radial motion, in which the Poynting-Robertson radiation drag efficiently removes the orbital angular momentum of the particles, reducing it to zero. Here we develop this idea further, showing that "levitation" on the Eddington sphere (above the stellar surface) is a state of stable equilibrium, and discuss its implications for Hoyle-Lyttleton accretion onto a luminous star. When the Eddington sphere is present, the cross-section of a compact star for actual accretion is typically less than the geometrical cross-section (pi Rsquared), direct infall onto the stellar surface only being possible for relativistic particles, with the required minimum particle velocity at infinity typically ~1/2 the speed of light. We further show that particles on typical trajectories in the vicinity of the stellar surface will also be trapped on the Eddington Capture Sphere.