Drawing conformal diagrams for a fractal landscape
| dc.creator | Winitzki, Sergei | |
| dc.date | 2005-03-14 | |
| dc.date.accessioned | 2026-07-07T11:42:59Z | |
| dc.date.available | 2026-07-07T11:42:59Z | |
| dc.description | Generic models of cosmological inflation and the recently proposed scenarios of a recycling universe and the string theory landscape predict spacetimes whose global geometry is a stochastic, self-similar fractal. To visualize the complicated causal structure of such a universe, one usually draws a conformal (Carter-Penrose) diagram. I develop a new method for drawing conformal diagrams, applicable to arbitrary 1+1-dimensional spacetimes. This method is based on a qualitative analysis of intersecting lightrays and thus avoids the need for explicit transformations of the spacetime metric. To demonstrate the power and simplicity of this method, I present derivations of diagrams for spacetimes of varying complication. I then apply the lightray method to three different models of an eternally inflating universe (scalar-field inflation, recycling universe, and string theory landscape) involving the nucleation of nested asymptotically flat, de Sitter and/or anti-de Sitter bubbles. I show that the resulting diagrams contain a characteristic fractal arrangement of lines. | |
| dc.description | 14 pages, 25 figures | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0503061 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0503061 | |
| dc.identifier | Phys.Rev.D71:123523,2005 | |
| dc.identifier | doi:10.1103/PhysRevD.71.123523 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/201081 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Drawing conformal diagrams for a fractal landscape | |
| dc.type | text |