General Relativistic Hartree-Fock Calculations for Neutron Star
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910726603407360 |
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| author | Onishi, Naoki |
| author_facet | Onishi, Naoki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02990 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | General Relativistic Hartree-Fock Calculations for Neutron Star Onishi, Naoki General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Nuclear Theory 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. |
| title | General Relativistic Hartree-Fock Calculations for Neutron Star |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Nuclear Theory |
| url | https://arxiv.org/abs/2412.02990 |