ar X iv : g r - qc / 0 11 10 48 v 1 1 5 N ov 2 00 1 The eternal fractal in the universe
نویسنده
چکیده
Models of eternal inflation predict a stochastic self-similar geometry of the universe at very large scales and allow existence of points that never thermalize. I explore the fractal geometry of the resulting spacetime, using coordinate-independent quantities. The formalism of stochastic inflation can be used to obtain the fractal dimension of the set of eternally inflating points (the “eternal fractal”). I also derive a nonlinear branching diffusion equation describing global properties of the eternal set and the probability to realize eternal inflation. I show gauge invariance of the condition for presence of eternal inflation. Finally, I consider the question of whether all thermalized regions merge into one connected domain. Fractal dimension of the eternal set provides a (weak) sufficient condition for merging.
منابع مشابه
ar X iv : g r - qc / 0 51 11 56 v 1 2 9 N ov 2 00 5 Adiabatic Particle Production with Decaying Λ and Anisotropic Universe
The inclusion of cosmological constant into Einstein field equation was done primarily by Einstein himself with a view to model a static universe. Later he discarded the cosmological constant (and commented [1] “...... the biggest blunder of my life”), on the basis of the observational data supporting the expansion of the universe. Subsequently, it was reintroduced and then omitted to match wit...
متن کاملar X iv : g r - qc / 0 51 11 52 v 1 2 9 N ov 2 00 5 Recent results on the search for continuous sources with LIGO and GEO 600 Alicia
An overview of the searches for continuous gravitational wave signals in LIGO and GEO 600 performed on different recent science runs and results are presented. This includes both searching for gravitational waves from known pulsars as well as blind searches over a wide parameter space.
متن کاملar X iv : g r - qc / 9 91 10 87 v 1 2 2 N ov 1 99 9 1 Eternal inflation and the present universe
Eternally inflating universes can contain thermalized regions with different values of the cosmological parameters. In particular, the spectra of density fluctuations should be different, because of the different realizations of quantum fluctuations of the inflaton field. I discuss a general method for calculating probability distributions for such variable parameters and analyze the density fl...
متن کاملar X iv : g r - qc / 0 51 10 40 v 1 8 N ov 2 00 5 Canonical gauge - invariant variables for scalar perturbations in synchronous coordinates
Under an appropriate change of the perturbation variable LifshitzKhalatnikov propagation equations for the scalar perturbation reduce to d’Alembert equation. The change of variables is based on the Darboux transform.
متن کاملar X iv : g r - qc / 0 11 11 09 v 1 3 0 N ov 2 00 1 Null Energy Condition Violations in Eternal Inflation ∗ Serge
The usual scenario of “eternal inflation” involves an approximately de Sitter spacetime undergoing upward fluctuations of the local expansion rate H. This spacetime requires frequent violations of the Null Energy Condition (NEC). We investigate the fluctuations of the energy-momentum tensor of the scalar field in de Sitter space as a possible source of such violations. We find that fluctuations...
متن کامل