Manybody treatment of white dwarf and neutron stars on the brane

TL;DR

This paper investigates the impact of brane-world gravity modifications at submillimeter scales on white dwarf and neutron stars, finding negligible effects on their mass-radius relations but revealing a surface tension-like force from correction terms.

Contribution

It provides a many-body analysis showing that submillimeter brane-world gravity corrections do not alter star mass-radius relationships but induce a surface tension-like force.

Findings

Mass-radius relationships remain unaffected by submillimeter corrections.

Correction terms produce a force similar to surface tension.

White dwarf and neutron star structures are robust against these modifications.

Abstract

Brane-World models suggest modification of Newton's law of gravity on the 3-brane at submillimeter scales. The brane-world induced corrections are in higher powers of inverse distance and appear as additional terms with the Newtonian potential. The average inter-particle distance in white dwarf and neutron stars are $10^{-10} cms$ and $10^{-13} cms$ respectively, and therefore, the effect of submillimeter corrections needs to be investigated. We show, by carrying out simple manybody calculations, that the mass and mass-radius relationship of the white dwarf and neutron stars are not effected by submillimeter corrections. However, our analysis shows that the correction terms in the effective theory give rise to force akin to surface tension in normal liquids.