Gravitational antiscreening in stellar interiors

TL;DR

This paper introduces a new class of relativistic stellar structure equations incorporating an energy-dependent Newton coupling, revealing potential modifications in neutron star properties and proposing a novel Buchdahl limit with implications for ultra-compact objects.

Contribution

It presents a novel framework for relativistic stellar structures with energy-dependent gravity, highlighting possible low-energy quantum gravity effects on neutron stars.

Findings

Modified mass-radius relations for neutron stars.

Derivation of a new Buchdahl limit.

Possibility of arbitrarily small, self-gravitating objects.

Abstract

A new class of relativistic stellar structure equations which include the effects of an energy-dependent Newton coupling is presented. Significant modifications in the mass-radius relation for neutron stars are possible only if the running of the Newton coupling due to quantum gravity occurs at low energies. A new Buchdahl limit is derived and its physical implications are discussed. In particular, sub-Planckian self-gravitating objects with arbitrarily small radii are possible.