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
12 - Noether Symmetries in Bianchi Universes
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
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- Noether Symmetries in Theories of GravityWith Applications to Astrophysics and Cosmology, pp. 226 - 237Publisher: Cambridge University PressPrint publication year: 2022