The Behavior of Kasner Cosmologies with Induced Matter
arXiv:gr-qc/0010090 · doi:10.1103/PhysRevD.63.024009
Abstract
We extend the induced matter model, previously applied to a variety of isotropic cases, to a generalization of Bianchi type-I anisotropic cosmologies. The induced matter model is a 5D Kaluza-Klein approach in which assumptions of compactness are relaxed for the fifth coordinate, leading to extra geometric terms. One interpretation of these extra terms is to identify them as an ``induced matter'' contribution to the stress-energy tensor. In similar spirit, we construct a five dimensional metric in which the spatial slices possess Bianchi type-I geometry. We find a set of solutions for the five dimensional Einstein equations, and determine the pressure and density of induced matter. We comment on the long-term dynamics of the model, showing that the assumption of positive density leads to the contraction over time of the fifth scale factor.
14 pages
References in corpus (9)
- An Alternative to Compactification
- Heterotic and Type I String Dynamics from Eleven Dimensions
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- Pre-Big-Bang in String Cosmology
- Kaluza-Klein Gravity
- Chaos in Superstring Cosmology
- Is there chaos in string cosmology?
- Oscillatory Behaviour in Homogeneous String Cosmology Models
- Classical solutions in five dimensional induced matter theory and its relation to an imperfect fluid
Cited by in corpus (17)
- Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
- Curvature of Multiply Warped Products
- Kasner-AdS spacetime and anisotropic brane-world cosmology
- Stability of the Kasner Universe in f(T) Gravity
- Astrophysical Implications of Higher-Dimensional Gravity
- Anisotropic Cosmological Model in Modified Brans--Dicke Theory
- The embedding of the spacetime in five-dimensional spaces with arbitrary non-degenerate Ricci tensor
- Dynamics and exact Bianchi I spacetimes in Einstein-aether scalar field theory
- Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
- Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lemaître-Robertson-Walker models
- Exact Solutions of Five Dimensional Anisotropic Cosmologies
- Extended anisotropic models in noncompact Kaluza-Klein theory
- Cosmic Acceleration from Varying Masses in Five Dimensions
- Interacting Kasner-type cosmologies
- The Mixmaster Universe in Five Dimensions
- Energy conditions in a modified Brans-Dicke theory
- Anisotropic Spacetimes in Chiral Scalar Field Cosmology