Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Amalie Emmy Noether: A Life for Mathematics
- Notation
- Acronyms
- Part I Preliminaries
- Part II The Noether Symmetry Approach
- 6 From the Noether Theorem to the Noether Symmetry Approach
- 7 The Extensions of GR, TEGR, and STEGR
- 8 Higher-Order Extensions with the Gauss–Bonnet Invariant
- 9 Extensions with Higher Derivatives of R and T
- 10 Scalar-Tensor Theories of Gravity
- 11 Nonlocal Gravity
- 12 Noether Symmetries in Bianchi Universes
- 13 The Noether Approach in Spherical Symmetry
- Part III Applications
- Epilogue
- A: Variational Principles
- B: Differential Forms and Variations of Gauge Actions
- C: Noether–Bessel-Hagen Symmetries in Scalar-Tensor Cosmology
- References
- Index
10 - Scalar-Tensor Theories of Gravity
from Part II - The Noether Symmetry Approach
Published online by Cambridge University Press: 10 November 2022
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Amalie Emmy Noether: A Life for Mathematics
- Notation
- Acronyms
- Part I Preliminaries
- Part II The Noether Symmetry Approach
- 6 From the Noether Theorem to the Noether Symmetry Approach
- 7 The Extensions of GR, TEGR, and STEGR
- 8 Higher-Order Extensions with the Gauss–Bonnet Invariant
- 9 Extensions with Higher Derivatives of R and T
- 10 Scalar-Tensor Theories of Gravity
- 11 Nonlocal Gravity
- 12 Noether Symmetries in Bianchi Universes
- 13 The Noether Approach in Spherical Symmetry
- Part III Applications
- Epilogue
- A: Variational Principles
- B: Differential Forms and Variations of Gauge Actions
- C: Noether–Bessel-Hagen Symmetries in Scalar-Tensor Cosmology
- References
- Index
Summary
![Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'](https://static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Abook%3A9781009208727/resource/name/firstPage-9781009208741c10_174-201.jpg)
- Type
- Chapter
- Information
- Noether Symmetries in Theories of GravityWith Applications to Astrophysics and Cosmology, pp. 174 - 201Publisher: Cambridge University PressPrint publication year: 2022