Noether Symmetries in Theories of Gravity: With Applications to Astrophysics and Cosmology

ISBN-13: 9781009208741 / Angielski / Twarda / 2022 / 475 str.

Salvatore (Universita degli Studi di Napoli Federico II) Cap

Opis

This volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.

Spis treści

Preface; Acknowledgements; Amalie Emmy Noether: a life for mathematics; Notation; Acronyms; Part I. Preliminaries: 1. The concept of symmetry; 2. The two Noether theorems; 3. Applications of the Noether first theorem to fields and particles; 4. Theories of gravity: an overview; Part II. The Noether Symmetry Approach: 5. From the Noether theorem to the Noether symmetry approach; 6. The extensions of GR, TEGR and STEGR; 7. Higher-order extensions with the Gauss–Bonnet invariant; 8. Extensions with higher derivatives or R and T; 9. Scalar-tensor theories of gravity; 10. Non-local gravity; 11. Noether symmetries in Bianchi universes; 12. The Noether approach in spherical symmetry; Part III. Applications: 13. Applications to solar system, stars and our galaxy; 14. Applications to galaxies; 15. Applications to cosmology; 16. Applications to quantum cosmology; 17. Strings, swampland, renormalizability and viability; Epilogue; Appendices; References; Index.