General Relativistic Hartree-Fock Calculations for Neutron Star

TL;DR

This paper develops a novel approach to modeling neutron stars by solving Einstein-Cartan equations with quantum neutron states, providing a more comprehensive understanding of their structure beyond traditional methods.

Contribution

It introduces a self-consistent method using Einstein-Cartan equations and quantum Dirac equations to analyze neutron star structures, incorporating torsion and curvature effects.

Findings

Successful self-consistent solution of Einstein-Cartan equations for neutron stars

Inclusion of torsion effects in neutron star modeling

Enhanced understanding of quantum-degenerate matter in strong gravity

Abstract

We investigate the global structures of neutron stars within the framework of general relativity, treating the entire star as a quantum-degenerate system. Rather than relying on the Tolman-Oppenheimer-Volkoff (TOV) equation, we solve the Einstein-Cartan (EC) field equations self-consistently, incorporating the energy-momentum tensor contributions from neutrons. Neutron wave functions are obtained by solving the Dirac equation in a curved spacetime with both torsion and curvature effects. Given that neutron stars contain about 10^57 particles, we adopt a scaled h-bar approach to efficiently describe the quantum state of highly degenerate system.