Critical collapse of collisionless matter in spherical symmetry
We perform a numerical study of the critical regime for the general relativistic collapse of collisionless matter in spherical symmetry. The evolution of the matter is given by the Vlasov equation (or Boltzmann equation) and the geometry by Einstein's equations. This system of coupled differ...
Main Author: | |
---|---|
Format: | Others |
Language: | English |
Published: |
2009
|
Online Access: | http://hdl.handle.net/2429/11427 |
id |
ndltd-UBC-oai-circle.library.ubc.ca-2429-11427 |
---|---|
record_format |
oai_dc |
spelling |
ndltd-UBC-oai-circle.library.ubc.ca-2429-114272018-01-05T17:35:52Z Critical collapse of collisionless matter in spherical symmetry Olabarrieta, Ignacio (Iñaki) We perform a numerical study of the critical regime for the general relativistic collapse of collisionless matter in spherical symmetry. The evolution of the matter is given by the Vlasov equation (or Boltzmann equation) and the geometry by Einstein's equations. This system of coupled differential equations is solved using a particle-mesh (PM) method. This method approximates the distribution function which describes the matter in phase space with a set of particles moving along the characteristics of the Vlasov equation. The individual particles are allowed to have angular momentum different from zero but the total angular momentum has to be zero to retain spherical symmetry. In accord wih previous work by Rein, Rendall and Schaeffer, our results give some indications that the critical behaivour in this model is of Type I (the smallest black hole in each family has a finite mass). For the families of initial data that we have studied it seems that in the critical regime the solution is a static spacetime with non-zero radial momentum for the individual particles. We have also found evidence for scaling laws for the time that the critical solutions spend in the critical regime. Science, Faculty of Physics and Astronomy, Department of Graduate 2009-07-28T22:16:06Z 2009-07-28T22:16:06Z 2000 2001-05 Text Thesis/Dissertation http://hdl.handle.net/2429/11427 eng For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. 2419691 bytes application/pdf |
collection |
NDLTD |
language |
English |
format |
Others
|
sources |
NDLTD |
description |
We perform a numerical study of the critical regime for the general relativistic collapse
of collisionless matter in spherical symmetry. The evolution of the matter is given by the
Vlasov equation (or Boltzmann equation) and the geometry by Einstein's equations. This
system of coupled differential equations is solved using a particle-mesh (PM) method.
This method approximates the distribution function which describes the matter in phase
space with a set of particles moving along the characteristics of the Vlasov equation. The
individual particles are allowed to have angular momentum different from zero but the
total angular momentum has to be zero to retain spherical symmetry.
In accord wih previous work by Rein, Rendall and Schaeffer, our results give some
indications that the critical behaivour in this model is of Type I (the smallest black hole
in each family has a finite mass). For the families of initial data that we have studied it
seems that in the critical regime the solution is a static spacetime with non-zero radial
momentum for the individual particles. We have also found evidence for scaling laws for
the time that the critical solutions spend in the critical regime. === Science, Faculty of === Physics and Astronomy, Department of === Graduate |
author |
Olabarrieta, Ignacio (Iñaki) |
spellingShingle |
Olabarrieta, Ignacio (Iñaki) Critical collapse of collisionless matter in spherical symmetry |
author_facet |
Olabarrieta, Ignacio (Iñaki) |
author_sort |
Olabarrieta, Ignacio (Iñaki) |
title |
Critical collapse of collisionless matter in spherical symmetry |
title_short |
Critical collapse of collisionless matter in spherical symmetry |
title_full |
Critical collapse of collisionless matter in spherical symmetry |
title_fullStr |
Critical collapse of collisionless matter in spherical symmetry |
title_full_unstemmed |
Critical collapse of collisionless matter in spherical symmetry |
title_sort |
critical collapse of collisionless matter in spherical symmetry |
publishDate |
2009 |
url |
http://hdl.handle.net/2429/11427 |
work_keys_str_mv |
AT olabarrietaignacioinaki criticalcollapseofcollisionlessmatterinsphericalsymmetry |
_version_ |
1718588851972210688 |