General Relativistic Hartree-Fock Calculations for Neutron Star

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.

Comments: 15 pages