Cosmology in scalar-tensor gravity.
type: Item
instance of: scholarly article
title: Cosmology in scalar-tensor gravity.
zbMATH Open document ID: 1057.83002
author: Valerio Faraoni
published in: Fundamental Theories of Physics
publication date: 2004-11-15T00:00:00Z
review text: The book is devoted to some class of gravitational theories which are alternatives to Einstein's general relativity. Scalar-tensor theories describe gravitation by a Lorentzian metric \(g\) together with a scalar field \(\phi\); the latter is interpreted as the strength, variable in space and time, of coupling between metrical gravitation and matter. General relativity is just the case where \(\phi\) is constant; it is then reciprocal to the classical gravitational constant. Because of the non-minimal coupling, Mach's principle is incorporated in the ansatz. The first theory of this type appeared as a by-product of Kaluza-Klein theory. The latter originally had no use for the component \(g_{55}\) of the 5-dimensional metric and set \(g_{55} = 1\). Jordan et al. realized that \(g_{55} = \phi^2\) leads to a meaningful theory, where the 4-dimensional scalar \(\phi\) is a part of gravitation. Brans and Dicke inserted a new constant \(\omega\) into the Lagrangian and started the study of the resulting family of theories. It turns out that the Einstein effects in the solar system require unpleasently great values of \(\omega\). Another generalization made the theories more flexible: a generalized scalar-tensor theory, in the terminology of the present book, follows from a Lagrangian of the form \(L = f(\phi,R) - \omega(\phi)\nabla \phi^2\) with two functions \(f\) and \(\omega\), and \(R\) denoting the scalar curvature of \(g\). Recently, the interest for such theories renewed, because scalar fields appeared in various parts of modern physics: cosmological Higgs field, dilaton field of string theory, \dots Here the author introduces and motivates both Brans-Dicke and generalized theories. He then focusses on cosmology and gravitational waves in this framework. The headlines of the chapters read as follows. 1. Scalar-tensor gravity. 2. Effective energy-momentum tensors and conformal frames. 3. Gravitational waves. 4. Exact solutions of scalar-tensor cosmology. 5. The early…
Mathematics Subject Classification ID: 83-02
Mathematics Subject Classification ID: 83F05
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 83C35
zbMATH DE Number: 2115477
reviewed by: Rainer Schimming
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2115477