Is the accelerated expansion evidence of a forthcoming change of signature on the brane?
arXiv:0710.0820 · doi:10.1103/PhysRevD.77.027501
Abstract
We show that regular changes of signature on brane-worlds in AdS bulks may account for some types of the recently fashionable sudden singularities. Therefore, the possibility that the Universe seems to approach a future sudden singularity at an accelerated rate of expansion might simply be an indication that our braneworld is about to change from Lorentzian to Euclidean signature. Both the brane and the bulk remain fully regular everywhere. We present a model in which the weak and strong energy conditions hold on the brane, in contrast with the standard cosmologies leading to the analogous kinematical behaviour (that is, with a diverging Hubble factor).
arXiv comment5 pages, 1 figure. Minor improvements in abstract and main text. New title and new reference added. To be published in PRD
References in corpus (17)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- Properties of singularities in (phantom) dark energy universe
- Brane-world gravity
- Sudden Future Singularities
- Singularity Theorems and Their Consequences
- Geometry of General Hypersurfaces in Spacetime: Junction Conditions
- More General Sudden Singularities
- Worse than a big rip?
- New Cosmological Singularities in Braneworld Models
- Classification of cosmological milestones
- Necessary and sufficient conditions for big bangs, bounces, crunches, rips, sudden singularities, and extremality events
- Signature Change on the Brane
- Topology and Signature Changes in Braneworlds
- Lorentzian and signature changing branes
- Symmetry-preserving matchings
Cited by in corpus (15)
- A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes
- On the quantum fate of singularities in a dark-energy dominated universe
- From configuration to dynamics -- Emergence of Lorentz signature in classical field theory
- Cosmological singularities in Born-Infeld determinantal gravity
- Signature change from Schutz's canonical quantum cosmology and its classical analogue
- Gravitational double layers
- Do sewn singularities falsify the Palatini cosmology?
- Double layers in gravity theories
- Transition to Zero Cosmological Constant and Phantom Dark Energy as Solutions Involving Change of Orientation of Space-Time Manifold
- Equations for general shells
- Variational equations on mixed Riemannian-Lorentzian metrics
- Signature transition in Einstein-Cartan cosmology
- The Arrow Of Time In The Landscape
- Variational formalism for generic shells in general relativity
- Signature Change in Noncommutative FRW Cosmology