Noether Symmetries in Theories of Gravity

Erscheinungsjahr 2022
ISBN: 978-1-009-20874-1
Verlag: Cambridge University Press

Buch, Englisch, 475 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 916 g

Reihe: Cambridge Monographs on Mathematical Physics

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. The first part of the book establishes the foundations of classical field theory, providing an introduction to symmetry groups and the Noether theorems. A quick overview of general relativity is provided, including discussion of its successes and shortcomings, then several theories of gravity are presented and their main features are summarized. In the second part, the 'Noether Symmetry Approach' is applied to theories of gravity to identify those which contain symmetries. In the third part of the book these selected models are tested through comparison with the latest experiments and observations. This constrains the free parameters in the selected models to fit the current data, demonstrating a useful approach that will allow researchers to construct and constrain modified gravity models for further applications.

Autoren/Hrsg.

Bajardi, Francesco

Capozziello, Salvatore

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

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.

Über Autor(innen)

Capozziello, Salvatore
Salvatore Capozziello is a Full Professor in Astronomy and Astrophysics at the Università di Napoli 'Federico II', and former President of the Italian Society for General Relativity and Gravitation. His primary areas of research are general relativity, cosmology and relativistic astrophysics. He has authored more than 600 scientific publications with more than 34,000 citations.

Bajardi, Francesco
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'.