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.
General
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