Diffusive inflationary cosmology
type: Item
instance of: scholarly article
title: Diffusive inflationary cosmology
zbMATH Open document ID: 0731.53075
DOI: 10.1016/0393-0440(90)90028-2
author: David D. Bleecker
published in: Journal of Geometry and Physics
publication date: 1990-01-01T00:00:00Z
review text: The author considers the Ricci flow equation \(g'(t)=-2k Ric(g(t))+Dg(t)\) for a Riemannian metric g(t) on a compact 3-manifold, where k and D are some constants. This is related to general relativity by considering a corresponding Lorentzian metric \(^{(4)}g=-c^ 2dt^ 2+g(t).\) For metrics of this form, Einstein's vacuum field equation with cosmological constant reduces to a second order differential equation for g(t) along with two constraint equations. The main goal of the article is to show a long-time agreement of these two dynamical problems under additional assumptions which are of interest in connection with inflationary cosmology.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83F05
Mathematics Subject Classification ID: 83C05
zbMATH DE Number: 4209041
zbMATH Keywords: Ricci flow
zbMATH Keywords: vacuum field equation
zbMATH Keywords: cosmological constant
zbMATH Keywords: inflationary cosmology
reviewed by: Volker Perlick
MaRDI profile type: Publication
full work available at URL: 0393-0440(90)90028-2
OpenAlex ID: W2006466072
cites work: Inflationary cosmology
cites work: Global aspects of the Cauchy problem in general relativity
cites work: Deforming metrics in the direction of their Ricci tensors
cites work: The Einstein Equations of Evolution-A Geometric Approach
cites work: Three-manifolds with positive Ricci curvature
cites work: Four-manifolds with positive curvature operator
cites work: Ricci deformation of the metric on a Riemannian manifold
cites work: Inflation and quantum cosmology
cites work: General Relativity
cites work: Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant
description: scientific article; zbMATH DE number 4209041