Noether symmetries in theories of gravity: with applications to astrophysics and cosmology
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 introduct...
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Format: | Elektronisch E-Book |
Sprache: | English |
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Cambridge
Cambridge University Press
2023
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Schriftenreihe: | Cambridge monographs on mathematical physics
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Online-Zugang: | BSB01 BTU01 FHN01 Volltext |
Zusammenfassung: | 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 |
Beschreibung: | Title from publisher's bibliographic system (viewed on 10 Nov 2022) |
Beschreibung: | 1 Online-Ressource (xxiii, 426 Seiten) |
ISBN: | 9781009208727 |
DOI: | 10.1017/9781009208727 |
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spelling | Bajardi, Francesco ca. 20./21. Jh. (DE-588)1278625879 aut Noether symmetries in theories of gravity with applications to astrophysics and cosmology Francesco Bajardi, Salvatore Capozziello Cambridge Cambridge University Press 2023 1 Online-Ressource (xxiii, 426 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on mathematical physics Title from publisher's bibliographic system (viewed on 10 Nov 2022) 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 relativity (Physics) Noether's theorem Astrophysics Cosmology Gravitationstheorie (DE-588)4158117-9 gnd rswk-swf Kosmologie (DE-588)4114294-9 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Gravitationstheorie (DE-588)4158117-9 s Symmetrie (DE-588)4058724-1 s Kosmologie (DE-588)4114294-9 s DE-604 Capozziello, Salvatore ca. 20./21. Jh. (DE-588)142835277 aut Erscheint auch als Druck-Ausgabe 978-1-00-920874-1 https://doi.org/10.1017/9781009208727 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Bajardi, Francesco ca. 20./21. Jh Capozziello, Salvatore ca. 20./21. Jh Noether symmetries in theories of gravity with applications to astrophysics and cosmology General relativity (Physics) Noether's theorem Astrophysics Cosmology Gravitationstheorie (DE-588)4158117-9 gnd Kosmologie (DE-588)4114294-9 gnd Symmetrie (DE-588)4058724-1 gnd |
subject_GND | (DE-588)4158117-9 (DE-588)4114294-9 (DE-588)4058724-1 |
title | Noether symmetries in theories of gravity with applications to astrophysics and cosmology |
title_auth | Noether symmetries in theories of gravity with applications to astrophysics and cosmology |
title_exact_search | Noether symmetries in theories of gravity with applications to astrophysics and cosmology |
title_exact_search_txtP | Noether symmetries in theories of gravity with applications to astrophysics and cosmology |
title_full | Noether symmetries in theories of gravity with applications to astrophysics and cosmology Francesco Bajardi, Salvatore Capozziello |
title_fullStr | Noether symmetries in theories of gravity with applications to astrophysics and cosmology Francesco Bajardi, Salvatore Capozziello |
title_full_unstemmed | Noether symmetries in theories of gravity with applications to astrophysics and cosmology Francesco Bajardi, Salvatore Capozziello |
title_short | Noether symmetries in theories of gravity |
title_sort | noether symmetries in theories of gravity with applications to astrophysics and cosmology |
title_sub | with applications to astrophysics and cosmology |
topic | General relativity (Physics) Noether's theorem Astrophysics Cosmology Gravitationstheorie (DE-588)4158117-9 gnd Kosmologie (DE-588)4114294-9 gnd Symmetrie (DE-588)4058724-1 gnd |
topic_facet | General relativity (Physics) Noether's theorem Astrophysics Cosmology Gravitationstheorie Kosmologie Symmetrie |
url | https://doi.org/10.1017/9781009208727 |
work_keys_str_mv | AT bajardifrancesco noethersymmetriesintheoriesofgravitywithapplicationstoastrophysicsandcosmology AT capozziellosalvatore noethersymmetriesintheoriesofgravitywithapplicationstoastrophysicsandcosmology |