This volume summarizes the many alternatives and extensions to Einstein's General Theory of Relativity, and shows how symmetry principles can be applied to identify physically viable models. This text is of interest to graduate students and researchers in gravitational physics, unifying results that are spread across the primary literature.
This volume summarizes the many alternatives and extensions to Einstein's General Theory of Relativity, and shows how symmetry principles can be applied to identify physically viable models. This text is of interest to graduate students and researchers in gravitational physics, unifying results that are spread across the primary literature.
Francesco Bajardi is a Researcher at Scuola Superiore Meridionale in Napoli. His primary areas of research are general relativity, theoretical cosmology and theories of gravity. He graduated at the University of Palermo and obtained his Ph.D. at the Università di Napoli 'Federico II'.
Inhaltsangabe
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.
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.
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