Self-gravitating stellar collapse: explicit geodesics and path integration
We extend the work of Oppenheimer-Synder to model the gravitational collapse of a star to a black hole by including quantum mechanical effects. We first derive closed-form solutions for classical paths followed by a particle on the surface of the collapsing star in Schwarzschild and Kruskal coordina...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2016-11-01
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| Series: | Frontiers in Astronomy and Space Sciences |
| Subjects: | |
| Online Access: | http://journal.frontiersin.org/Journal/10.3389/fspas.2016.00029/full |
| _version_ | 1818128240200384512 |
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| author | Jayashree Balakrishna Ruxandra Bondarescu Christine Corbett-Moran |
| author_facet | Jayashree Balakrishna Ruxandra Bondarescu Christine Corbett-Moran |
| author_sort | Jayashree Balakrishna |
| collection | DOAJ |
| description | We extend the work of Oppenheimer-Synder to model the gravitational collapse of a star to a black hole by including quantum mechanical effects. We first derive closed-form solutions for classical paths followed by a particle on the surface of the collapsing star in Schwarzschild and Kruskal coordinates for space-like, time-like and light-like geodesics. We next present an application of these paths to model the collapse of ultra-light dark matter particles, which necessitates incorporating quantum effects. To do so we treat a particle on the surface of the star as a wavepacket and integrate over all possible paths taken by the particle. The waveform is computed in Schwarzschild coordinates and found to exhibit an ingoing and an outgoing component, where the former contains the probability of collapse, while the latter contains the probability that the star will disperse. These calculations pave the way for investigating the possibility of quantum collapse that does not lead to black hole formation as well as for exploring the nature of the wavefunction inside r = 2M. |
| first_indexed | 2024-12-11T07:30:06Z |
| format | Article |
| id | doaj.art-8079b2d84c394c2cbcbb5374b36927dd |
| institution | Directory Open Access Journal |
| issn | 2296-987X |
| language | English |
| last_indexed | 2024-12-11T07:30:06Z |
| publishDate | 2016-11-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Astronomy and Space Sciences |
| spelling | doaj.art-8079b2d84c394c2cbcbb5374b36927dd2022-12-22T01:15:50ZengFrontiers Media S.A.Frontiers in Astronomy and Space Sciences2296-987X2016-11-01310.3389/fspas.2016.00029226927Self-gravitating stellar collapse: explicit geodesics and path integrationJayashree Balakrishna0Ruxandra Bondarescu1Christine Corbett-Moran2Harris Stowe State UniversityUniversity of ZurichCaltechWe extend the work of Oppenheimer-Synder to model the gravitational collapse of a star to a black hole by including quantum mechanical effects. We first derive closed-form solutions for classical paths followed by a particle on the surface of the collapsing star in Schwarzschild and Kruskal coordinates for space-like, time-like and light-like geodesics. We next present an application of these paths to model the collapse of ultra-light dark matter particles, which necessitates incorporating quantum effects. To do so we treat a particle on the surface of the star as a wavepacket and integrate over all possible paths taken by the particle. The waveform is computed in Schwarzschild coordinates and found to exhibit an ingoing and an outgoing component, where the former contains the probability of collapse, while the latter contains the probability that the star will disperse. These calculations pave the way for investigating the possibility of quantum collapse that does not lead to black hole formation as well as for exploring the nature of the wavefunction inside r = 2M.http://journal.frontiersin.org/Journal/10.3389/fspas.2016.00029/fullquantum effectsBlack hole formationself-gravitating stellar collapseultra-light particlesgeodesics inside black holes |
| spellingShingle | Jayashree Balakrishna Ruxandra Bondarescu Christine Corbett-Moran Self-gravitating stellar collapse: explicit geodesics and path integration Frontiers in Astronomy and Space Sciences quantum effects Black hole formation self-gravitating stellar collapse ultra-light particles geodesics inside black holes |
| title | Self-gravitating stellar collapse: explicit geodesics and path integration |
| title_full | Self-gravitating stellar collapse: explicit geodesics and path integration |
| title_fullStr | Self-gravitating stellar collapse: explicit geodesics and path integration |
| title_full_unstemmed | Self-gravitating stellar collapse: explicit geodesics and path integration |
| title_short | Self-gravitating stellar collapse: explicit geodesics and path integration |
| title_sort | self gravitating stellar collapse explicit geodesics and path integration |
| topic | quantum effects Black hole formation self-gravitating stellar collapse ultra-light particles geodesics inside black holes |
| url | http://journal.frontiersin.org/Journal/10.3389/fspas.2016.00029/full |
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