Einstein and Brans–Dicke Frames in Multidimensional Cosmology

1998/08/26 by M. Rainer, Martin Rainer, Alexander Zhuk +1 · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research #COSMIC cancer database #Cosmology #Cosmology and Gravitation Theories #Differential geometry #Einstein #Frame (networking) #Inflation (cosmology) #Manifold (fluid mechanics) #Noncommutative and Quantum Gravity Theories #Representation (politics) #Space (punctuation) #Spacetime #gr-qc

paper · pdf · doi:10.1023/a:1001848500339

published as Gen.Rel.Grav. 32 (2000) 79-104 · 27 pages, Revtex

arxiv created 1998/08/26 · openalex publication_date 2000/01/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Inhomogeneous multidimensional cosmological models with a higher dimensional space-time manifold M= M₀ x M₁ ...x M_n are investigated under dimensional reduction to a D₀-dimensional effective non-minimally coupled sigma-model which generalizes the familiar Brans-Dicke model. It is argued that the Einstein frame should be considered as the physical one. The general prescription for the Einstein frame reformulation of known solutions in the Brans-Dicke frame is given. As an example, the reformulation is demonstrated explicitly for the generalized Kasner solutions where it is shown that in the Einstein frame there are no solutions with inflation of the external space.

Citations

• Density perturbation in extended inflation
• The Steady-State Theory of the Expanding Universe
• Vacuum fluctuations in axion-dilaton cosmologies
• INFLATION, DEFLATION, AND FRAME-INDEPENDENCE IN STRING COSMOLOGY
• Some aspects of the cosmological conformal equivalence between the `Jordan frame' and the `Einstein frame'
• Inflation from extra dimensions
• On Kaluza-Klein theory
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Geometrical Theorems on Einstein's Cosmological Equations
• M THEORY (THE THEORY FORMERLY KNOWN AS STRINGS)

Cited by

• Examples of Stable Exponential Cosmological Solutions with Three Factor Spaces in EGB Model with a Λ-Term
• On stable exponential solutions in Einstein–Gauss–Bonnet cosmology with zero variation of G