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

This book explores alternatives and extensions to Einstein's General Theory of Relativity,using symmetry principles to identify physically viable models. It establishes classical field theory foundations,overviews general relativity,and applies the Noether Symmetry Approach to theories of gravity. The selected models are tested against experiments and observations,constraining their free parameters to fit current data.

Format: Hardback
Length: 475 pages
Publication date: 24 November 2022
Publisher: Cambridge University Press

This comprehensive volume explores a wide range of alternatives and extensions to Einstein's General Theory of Relativity, shedding light on how symmetry principles can be employed to identify physically viable models. The book begins by establishing the foundational elements of classical field theory, providing an introduction to symmetry groups and the Noether theorems. It then offers a concise overview of general relativity, highlighting its achievements and limitations. Subsequently, several theories of gravity are presented, with their key features summarized.

In the second part of the book, the Noether Symmetry Approach is applied to theories of gravity to identify those that possess symmetries. This approach involves analyzing the conservation laws and symmetry properties of the theories, which can help in constraining their free parameters to match current experimental and observational data.

In the third part of the book, the selected models that exhibit symmetries are further tested through comparison with the latest experiments and observations. This rigorous testing process helps in constraining the free parameters in the selected models, demonstrating a valuable approach that enables researchers to construct and constrain modified gravity models for diverse applications.

By delving into these alternatives and extensions, this volume provides valuable insights into the complex field of gravity and offers a roadmap for future research in this area. It serves as a valuable resource for scholars, researchers, and students interested in exploring the boundaries of our understanding of the universe.

Weight: 997g
Dimension: 244 x 170 x 25 (mm)
ISBN-13: 9781009208741