Does space-time torsion determine the minimum mass of gravitating particles?
We derive upper and lower limits for the mass–radius ratio of spin-fluid spheres in Einstein–Cartan theory, with matter satisfying a linear barotropic equation of state, and in the presence of a cosmological constant. Adopting a spherically symmetric interior geometry, we obtain the generalized cont...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2019
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| Online Access: | https://hdl.handle.net/10356/106380 http://hdl.handle.net/10220/49600 |
| _version_ | 1826119209053061120 |
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| author | Böhmer, Christian G. Burikham, Piyabut Harko, Tiberiu Lake, Matthew James |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Böhmer, Christian G. Burikham, Piyabut Harko, Tiberiu Lake, Matthew James |
| author_sort | Böhmer, Christian G. |
| collection | NTU |
| description | We derive upper and lower limits for the mass–radius ratio of spin-fluid spheres in Einstein–Cartan theory, with matter satisfying a linear barotropic equation of state, and in the presence of a cosmological constant. Adopting a spherically symmetric interior geometry, we obtain the generalized continuity and Tolman–Oppenheimer–Volkoff equations for a Weyssenhoff spin fluid in hydrostatic equilibrium, expressed in terms of the effective mass, density and pressure, all of which contain additional contributions from the spin. The generalized Buchdahl inequality, which remains valid at any point in the interior, is obtained, and general theoretical limits for the maximum and minimum mass–radius ratios are derived. As an application of our results we obtain gravitational red shift bounds for compact spin-fluid objects, which may (in principle) be used for observational tests of Einstein–Cartan theory in an astrophysical context. We also briefly consider applications of the torsion-induced minimum mass to the spin-generalized strong gravity model for baryons/mesons, and show that the existence of quantum spin imposes a lower bound for spinning particles, which almost exactly reproduces the electron mass. |
| first_indexed | 2024-10-01T04:56:25Z |
| format | Journal Article |
| id | ntu-10356/106380 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:56:25Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | ntu-10356/1063802023-02-28T19:50:24Z Does space-time torsion determine the minimum mass of gravitating particles? Böhmer, Christian G. Burikham, Piyabut Harko, Tiberiu Lake, Matthew James School of Physical and Mathematical Sciences Gravitating Particles Torsion Science::Physics We derive upper and lower limits for the mass–radius ratio of spin-fluid spheres in Einstein–Cartan theory, with matter satisfying a linear barotropic equation of state, and in the presence of a cosmological constant. Adopting a spherically symmetric interior geometry, we obtain the generalized continuity and Tolman–Oppenheimer–Volkoff equations for a Weyssenhoff spin fluid in hydrostatic equilibrium, expressed in terms of the effective mass, density and pressure, all of which contain additional contributions from the spin. The generalized Buchdahl inequality, which remains valid at any point in the interior, is obtained, and general theoretical limits for the maximum and minimum mass–radius ratios are derived. As an application of our results we obtain gravitational red shift bounds for compact spin-fluid objects, which may (in principle) be used for observational tests of Einstein–Cartan theory in an astrophysical context. We also briefly consider applications of the torsion-induced minimum mass to the spin-generalized strong gravity model for baryons/mesons, and show that the existence of quantum spin imposes a lower bound for spinning particles, which almost exactly reproduces the electron mass. Published version 2019-08-13T04:19:59Z 2019-12-06T22:10:16Z 2019-08-13T04:19:59Z 2019-12-06T22:10:16Z 2018 Journal Article Böhmer, C. G., Burikham, P., Harko, T., & Lake, M. J. (2018). Does space-time torsion determine the minimum mass of gravitating particles?. The European Physical Journal C, 78(3), 253-. doi:10.1140/epjc/s10052-018-5719-y 1434-6044 https://hdl.handle.net/10356/106380 http://hdl.handle.net/10220/49600 10.1140/epjc/s10052-018-5719-y en European Physical Journal C © 2018 The Author(s). Published by Springer Berlin Heidelberg. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. 21 p. application/pdf |
| spellingShingle | Gravitating Particles Torsion Science::Physics Böhmer, Christian G. Burikham, Piyabut Harko, Tiberiu Lake, Matthew James Does space-time torsion determine the minimum mass of gravitating particles? |
| title | Does space-time torsion determine the minimum mass of gravitating particles? |
| title_full | Does space-time torsion determine the minimum mass of gravitating particles? |
| title_fullStr | Does space-time torsion determine the minimum mass of gravitating particles? |
| title_full_unstemmed | Does space-time torsion determine the minimum mass of gravitating particles? |
| title_short | Does space-time torsion determine the minimum mass of gravitating particles? |
| title_sort | does space time torsion determine the minimum mass of gravitating particles |
| topic | Gravitating Particles Torsion Science::Physics |
| url | https://hdl.handle.net/10356/106380 http://hdl.handle.net/10220/49600 |
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