{"product_id":"noether-symmetries-in-theories-of-gravity-with-applications-to-astrophysics-and-cosmology-hardback-9781009208741","title":"Noether Symmetries in Theories of Gravity; With Applications to Astrophysics and Cosmology (Hardback) 9781009208741","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eNoether Symmetries in Theories of Gravity\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eWith Applications to Astrophysics and Cosmology\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eFrancesco Bajardi (Author), Salvatore Capozziello (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009208741, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 24 November 2022\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e475 pages\u003cbr\u003e25.1 x 17.4 x 2.9 cm, 0.92 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Acknowledgements\u003cbr\u003e Amalie Emmy Noether: a life for mathematics\u003cbr\u003e Notation\u003cbr\u003e Acronyms\u003cbr\u003e Part I. Preliminaries: 1. The concept of symmetry\u003cbr\u003e 2. The two Noether theorems\u003cbr\u003e 3. Applications of the Noether first theorem to fields and particles\u003cbr\u003e 4. Theories of gravity: an overview\u003cbr\u003e Part II. The Noether Symmetry Approach: 5. From the Noether theorem to the Noether symmetry approach\u003cbr\u003e 6. The extensions of GR, TEGR and STEGR\u003cbr\u003e 7. Higher-order extensions with the Gauss–Bonnet invariant\u003cbr\u003e 8. Extensions with higher derivatives or R and T\u003cbr\u003e 9. Scalar-tensor theories of gravity\u003cbr\u003e 10. Non-local gravity\u003cbr\u003e 11. Noether symmetries in Bianchi universes\u003cbr\u003e 12. The Noether approach in spherical symmetry\u003cbr\u003e Part III. Applications: 13. Applications to solar system, stars and our galaxy\u003cbr\u003e 14. Applications to galaxies\u003cbr\u003e 15. Applications to cosmology\u003cbr\u003e 16. Applications to quantum cosmology\u003cbr\u003e 17. Strings, swampland, renormalizability and viability\u003cbr\u003e Epilogue\u003cbr\u003e Appendices\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e], Mathematics \u0026amp; science [\u003ca title=\"See our other books on Mathematics \u0026amp; science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20\u0026amp;%20science%20%5BP%5D%22\"\u003eP\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265395151128,"sku":"9781009208741","price":107.47,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781009208741i_d33c2d3c-5885-4859-8e6b-d829f09efc0e.jpg?v=1696791416","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/noether-symmetries-in-theories-of-gravity-with-applications-to-astrophysics-and-cosmology-hardback-9781009208741","provider":"Freshly Printed Books","version":"1.0","type":"link"}