Francesco Bajardi, Salvatore Capozziello (Universita degli Studi di Napoli 'Federico I

Noether Symmetries in Theories of Gravity

With Applications to Astrophysics and Cosmology

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Cambridge Monographs on Mathematical Physics
• Verlag: Cambridge University Press
• Seitenzahl: 475
• Erscheinungstermin: 24. November 2022
• Englisch
• Abmessung: 244mm x 170mm x 25mm
• Gewicht: 930g
• ISBN-13: 9781009208741
• ISBN-10: 1009208748
• Artikelnr.: 64360401

Autorenporträt

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.