Non-singular gravitational collapse through modified Heisenberg algebra
Abstract We study the effects of cut-off physics, in the form of a modified algebra inspired by Polymer Quantum Mechanics and by the Generalized Uncertainty Principle representation, on the collapse of a spherical dust cloud. We analyze both the Newtonian formulation, originally developed by Hunter,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-12564-5 |
| _version_ | 1797259084494274560 |
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| author | Gabriele Barca Giovanni Montani |
| author_facet | Gabriele Barca Giovanni Montani |
| author_sort | Gabriele Barca |
| collection | DOAJ |
| description | Abstract We study the effects of cut-off physics, in the form of a modified algebra inspired by Polymer Quantum Mechanics and by the Generalized Uncertainty Principle representation, on the collapse of a spherical dust cloud. We analyze both the Newtonian formulation, originally developed by Hunter, and the general relativistic formulation, that is the Oppenheimer–Snyder model; in both frameworks we find that the collapse is stabilized to an asymptotically static state above the horizon, and the singularity is removed. In the Newtonian case, by requiring the Newtonian approximation to be valid, we find lower bounds of the order of unity (in Planck units) for the deformation parameter of the modified algebra. We then study the behaviour of small perturbations on the non-singular collapsing backgrounds, and find that for certain range of the parameters (the polytropic index for the Newtonian case and the sound velocity in the relativistic setting) the collapse is stable to perturbations of all scales, and the non-singular super-Schwarzschild configurations have physical meaning. |
| first_indexed | 2024-04-24T23:03:48Z |
| format | Article |
| id | doaj.art-8a4225f055bc4b679a95eb9f2ba7c612 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T23:03:48Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-8a4225f055bc4b679a95eb9f2ba7c6122024-03-17T12:36:10ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-03-0184311410.1140/epjc/s10052-024-12564-5Non-singular gravitational collapse through modified Heisenberg algebraGabriele Barca0Giovanni Montani1Department of Physics, “Sapienza” University of RomeDepartment of Physics, “Sapienza” University of RomeAbstract We study the effects of cut-off physics, in the form of a modified algebra inspired by Polymer Quantum Mechanics and by the Generalized Uncertainty Principle representation, on the collapse of a spherical dust cloud. We analyze both the Newtonian formulation, originally developed by Hunter, and the general relativistic formulation, that is the Oppenheimer–Snyder model; in both frameworks we find that the collapse is stabilized to an asymptotically static state above the horizon, and the singularity is removed. In the Newtonian case, by requiring the Newtonian approximation to be valid, we find lower bounds of the order of unity (in Planck units) for the deformation parameter of the modified algebra. We then study the behaviour of small perturbations on the non-singular collapsing backgrounds, and find that for certain range of the parameters (the polytropic index for the Newtonian case and the sound velocity in the relativistic setting) the collapse is stable to perturbations of all scales, and the non-singular super-Schwarzschild configurations have physical meaning.https://doi.org/10.1140/epjc/s10052-024-12564-5 |
| spellingShingle | Gabriele Barca Giovanni Montani Non-singular gravitational collapse through modified Heisenberg algebra European Physical Journal C: Particles and Fields |
| title | Non-singular gravitational collapse through modified Heisenberg algebra |
| title_full | Non-singular gravitational collapse through modified Heisenberg algebra |
| title_fullStr | Non-singular gravitational collapse through modified Heisenberg algebra |
| title_full_unstemmed | Non-singular gravitational collapse through modified Heisenberg algebra |
| title_short | Non-singular gravitational collapse through modified Heisenberg algebra |
| title_sort | non singular gravitational collapse through modified heisenberg algebra |
| url | https://doi.org/10.1140/epjc/s10052-024-12564-5 |
| work_keys_str_mv | AT gabrielebarca nonsingulargravitationalcollapsethroughmodifiedheisenbergalgebra AT giovannimontani nonsingulargravitationalcollapsethroughmodifiedheisenbergalgebra |