By Yasunori Fujii
By Kei-ichi Maeda
Publisher: Cambridge University Press
Print Publication Year: 2003
Online Publication Date:August 2009
Online ISBN:9780511535093
Hardback ISBN:9780521811590
Paperback ISBN:9780521037525
Chapter DOI: http://dx.doi.org/10.1017/CBO9780511535093.003
Subjects: Theoretical Physics and Mathematical Physics, Cosmology, Relativity and Gravitation
Image View Extract Fullview: Text View | Enlarge Image ‹ Previous Chapter ›Next Chapter
We begin this chapter with an overview in section 1 of how the scalar–tensor theory was conceived, how it has evolved, and also what issues we are going to discuss from the point of view of such cosmological subjects as the cosmological constant and time-variability of coupling constants. In section 2 we provide a simplified view of fundamental theories which are supposed to lie behind the scalar–tensor theory. Section 3 includes comments expected to be useful for a better understanding of the whole subject. This section will also summarize briefly what we have achieved.
In section 1 we emphasize that the scalar field in what is qualified to be called the scalar–tensor theory is not simply added to the tensor gravitational field, but comes into play through the nonminimal coupling term, which was invented by P. Jordan. Subsequently, however, a version that we call the prototype Brans–Dicke (BD) model has played the most influential role up to the present time. We also explain the notation and the system of units to be used in this book.
The list of the fundamental ideas sketched in section 2 includes the Kaluza–Klein (KK) theory, string theory, brane theory as the latest out-growth of string theory, and a conjecture on two-sheeted space-time.
pp. i-vi
pp. vii-x
pp. xi-xiii
Conventions and notation : Read PDF
pp. xiv-xvi
pp. 1-36
2 - The Prototype Brans–Dicke model : Read PDF
pp. 37-60
3 - Conformal transformation : Read PDF
pp. 61-76
4 - Cosmology with Λ : Read PDF
pp. 77-104
5 - Models of an accelerating universe : Read PDF
pp. 105-144
6 - Quantum effects : Read PDF
pp. 145-186
Appendix A - The scalar field from Kaluza-Klein theory : Read PDF
pp. 187-191
Appendix B - The curvature scalar from the assumed two-sheeted space-time : Read PDF
pp. 192-194
Appendix C - The field equation of gravity in the presence of nonminimal coupling : Read PDF
pp. 195-197
Appendix D - The law of conservation of matter : Read PDF
pp. 198-199
Appendix E - Eddington's parameters : Read PDF
pp. 200-203
Appendix F - Conformal transformation of a spinor field : Read PDF
pp. 204-208
Appendix G - Conformal transformation of the curvature scalar : Read PDF
pp. 209-213
Appendix H - A special choice for conformal invariance : Read PDF
pp. 214-215
Appendix J - The matter energy–momentum nonconservation law in the E frame : Read PDF
pp. 216-216
Appendix K - A modification to the Λ term : Read PDF
pp. 217-218
Appendix L - Einstein's equation in the brane world : Read PDF
pp. 219-222
Appendix M - Dilatation current : Read PDF
pp. 223-224
Appendix N - Loop integrals in continuous dimensions : Read PDF
pp. 225-226
Appendix O - A conformal frame in which particle masses are finally constant : Read PDF
pp. 227-229
pp. 230-236
pp. 237-240