Evolution of linear perturbations in spherically symmetric dust spacetimes
| dc.contributor.author | February, S | |
| dc.contributor.author | Larena, J | |
| dc.contributor.author | Clarkson, C | |
| dc.contributor.author | Pollney, D | |
| dc.date.accessioned | 2016-08-15T10:02:42Z | |
| dc.date.available | 2016-08-15T10:02:42Z | |
| dc.date.issued | 2014-08-13 | |
| dc.date.updated | 2016-08-15T09:53:53Z | |
| dc.description.abstract | We present results from a numerical code implementing a new method to solve the master equations describing the evolution of linear perturbations in a spherically symmetric but inhomogeneous background. This method can be used to simulate several configurations of physical interest, such as relativistic corrections to structure formation, the lensing of gravitational waves (GWs) and the evolution of perturbations in a cosmological void model. This paper focuses on the latter problem, i.e. structure formation in a Hubble scale void in the linear regime. This is considerably more complicated than linear perturbations of a homogeneous and isotropic background because the inhomogeneous background leads to coupling between density perturbations and rotational modes of the spacetime geometry, as well as GWs. Previous analyses of this problem ignored this coupling in the hope that the approximation does not affect the overall dynamics of structure formation in such models. We show that for a giga-parsec void, the evolution of the density contrast is well approximated by the previously studied decoupled evolution only for very large-scale modes. However, the evolution of the gravitational potentials within the void is inaccurate at more than the 10% level, and is even worse on small scales. | en_ZA |
| dc.identifier | http://dx.doi.org/10.1088/0264-9381/31/17/175008 | |
| dc.identifier.apacitation | February, S., Larena, J., Clarkson, C., & Pollney, D. (2014). Evolution of linear perturbations in spherically symmetric dust spacetimes. <i>Classical and Quantum Gravity</i>, http://hdl.handle.net/11427/21232 | en_ZA |
| dc.identifier.chicagocitation | February, S, J Larena, C Clarkson, and D Pollney "Evolution of linear perturbations in spherically symmetric dust spacetimes." <i>Classical and Quantum Gravity</i> (2014) http://hdl.handle.net/11427/21232 | en_ZA |
| dc.identifier.citation | February, S., Larena, J., Clarkson, C., & Pollney, D. (2014). Evolution of linear perturbations in spherically symmetric dust spacetimes. Classical and Quantum Gravity, 31(17), 175008. | en_ZA |
| dc.identifier.issn | 0264-9381 | en_ZA |
| dc.identifier.ris | TY - Journal Article AU - February, S AU - Larena, J AU - Clarkson, C AU - Pollney, D AB - We present results from a numerical code implementing a new method to solve the master equations describing the evolution of linear perturbations in a spherically symmetric but inhomogeneous background. This method can be used to simulate several configurations of physical interest, such as relativistic corrections to structure formation, the lensing of gravitational waves (GWs) and the evolution of perturbations in a cosmological void model. This paper focuses on the latter problem, i.e. structure formation in a Hubble scale void in the linear regime. This is considerably more complicated than linear perturbations of a homogeneous and isotropic background because the inhomogeneous background leads to coupling between density perturbations and rotational modes of the spacetime geometry, as well as GWs. Previous analyses of this problem ignored this coupling in the hope that the approximation does not affect the overall dynamics of structure formation in such models. We show that for a giga-parsec void, the evolution of the density contrast is well approximated by the previously studied decoupled evolution only for very large-scale modes. However, the evolution of the gravitational potentials within the void is inaccurate at more than the 10% level, and is even worse on small scales. DA - 2014-08-13 DB - OpenUCT DP - University of Cape Town J1 - Classical and Quantum Gravity LK - https://open.uct.ac.za PB - University of Cape Town PY - 2014 SM - 0264-9381 T1 - Evolution of linear perturbations in spherically symmetric dust spacetimes TI - Evolution of linear perturbations in spherically symmetric dust spacetimes UR - http://hdl.handle.net/11427/21232 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/21232 | |
| dc.identifier.uri | http://iopscience.iop.org/article/10.1088/0264-9381/31/17/175008/meta | |
| dc.identifier.vancouvercitation | February S, Larena J, Clarkson C, Pollney D. Evolution of linear perturbations in spherically symmetric dust spacetimes. Classical and Quantum Gravity. 2014; http://hdl.handle.net/11427/21232. | en_ZA |
| dc.language | eng | en_ZA |
| dc.publisher | IOP Publishing | en_ZA |
| dc.publisher.institution | University of Cape Town | |
| dc.source | Classical and Quantum Gravity | en_ZA |
| dc.source.uri | http://iopscience.iop.org/journal/0264-9381 | |
| dc.subject.other | cosmological perturbation theory | |
| dc.subject.other | Lemaître–Tolman–Bondi spacetime | |
| dc.subject.other | relativistic corrections | |
| dc.title | Evolution of linear perturbations in spherically symmetric dust spacetimes | en_ZA |
| dc.type | Journal Article | en_ZA |
| uct.type.filetype | Text | |
| uct.type.filetype | Image | |
| uct.type.publication | Research | en_ZA |
| uct.type.resource | Article | en_ZA |