Dedication

pp vii-viii

Contents

pp ix-xiv

Preface

pp xv-xvii

Acknowledgments

pp xviii-xviii

Amalie Emmy Noether: A Life for Mathematics

pp xix-xxi

Notation

pp xxii-xxiii

Acronyms

pp xxiv-xxiv

Part I - Preliminaries

pp 1-2

1 - The Concept of Symmetry

pp 3-15

2 - The Two Noether Theorems

pp 16-33

3 - Applications of Noether’s First Theorem to Fields and Particles

pp 34-47

4 - Theories of Gravity: An Overview

pp 48-87

5 - Toward Quantum Gravity

pp 88-105

Part II - The Noether Symmetry Approach

pp 105-106

6 - From the Noether Theorem to the Noether Symmetry Approach

pp 107-122

7 - The Extensions of GR, TEGR, and STEGR

pp 123-142

8 - Higher-Order Extensions with the Gauss–Bonnet Invariant

pp 143-164

9 - Extensions with Higher Derivatives of R and T

pp 165-173

10 - Scalar-Tensor Theories of Gravity

pp 174-201

11 - Nonlocal Gravity

pp 202-225

12 - Noether Symmetries in Bianchi Universes

pp 226-237

13 - The Noether Approach in Spherical Symmetry

pp 238-262

Part III - Applications

pp 263-264

14 - Applications to Solar System, Stars, and Our Galaxy

pp 265-293

15 - Applications to Galaxies

pp 294-309

16 - Applications to Cosmology

pp 310-333

17 - Applications to Quantum Cosmology

pp 334-350

18 - Strings, Swampland, Renormalizability, and Viability

pp 351-375

Epilogue

pp 376-377