Authors:
- Explains how special and general relativity are derived from basic mathematics
- Describes differential geometry in the simplest possible way and applies it in describing the physical world
- Presents Einstein’s field equations and their physical implications
- Provides detailed proofs
Part of the book series: UNITEXT for Physics (UNITEXTPH)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
These theories are discussed starting from a full geometric point of view. Differential geometry is presented in the simplest way and it is applied to describe the physical world. The final result of this construction is deriving the Einstein field equations for gravitation and spacetime dynamics. Possible solutions, and their physical implications are also discussed: the Schwarzschild metric, the relativistic trajectory of planets, the deflection of light, the black holes, the cosmological solutions like de Sitter, Friedmann-Lemaître-Robertson-Walker, and Gödel ones. Some current problems like dark energy are also scketched. The book is self-contained and includes details of all proofs. It provides solutions or tips to solve problems and exercises. It is designed for undergraduate students and for all readers who want a first geometric approach to Special and General Relativity.
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Authors and Affiliations
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Mathematics and Informatics, Ovidius University, Constanţa, Romania
Wladimir-Georges Boskoff
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Complesso Universitario Monte Sant’Angelo, University of Naples Federico II, Naples, Italy
Salvatore Capozziello
About the authors
Salvatore Capozziello is a Full Professor of Astronomy and Astrophysics at the Department of Physics at the Universita' di Napoli "Federico II", Visiting Professor at Gran Sasso Science Institute (L'Aquila), and Honorary Professor at Tomsk State Pedagogical University (Russia). He also holds research appointments at Istituto Nazionale di Fisica Nucleare (INFN), Istituto Nazionale di Astrofisica (INAF), and Gruppo Nazionale di Fisica Matematica (GNFM-INDAM). From 2012 to 2018, he was President of the Italian Society for General Relativity and Gravitation (SIGRAV). Professor Capozziello has spent periods of his scientific career in Germany, Poland, the UK, Mexico, the USA, South Africa, Canada, France, and Japan. His research focuses on general relativity, cosmology, relativistic astrophysics, and physics of gravitation in their theoretical and phenomenological aspects, in particular extended theories of gravity and their cosmological and astrophysical applications. His main scientific achievement has been in 2002 when he introduced the concept of gravitational curvature quintessence, f(R) gravity, to explain the cosmological dark energy. He is the author of almost 550 refereed papers and six books and listed as one of the Top Italian Scientists.
Bibliographic Information
Book Title: A Mathematical Journey to Relativity
Book Subtitle: Deriving Special and General Relativity with Basic Mathematics
Authors: Wladimir-Georges Boskoff, Salvatore Capozziello
Series Title: UNITEXT for Physics
DOI: https://doi.org/10.1007/978-3-030-47894-0
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-47893-3Published: 02 June 2020
Softcover ISBN: 978-3-030-47896-4Published: 02 June 2021
eBook ISBN: 978-3-030-47894-0Published: 01 June 2020
Series ISSN: 2198-7882
Series E-ISSN: 2198-7890
Edition Number: 1
Number of Pages: XXII, 397
Number of Illustrations: 26 b/w illustrations, 6 illustrations in colour
Topics: Mathematical Methods in Physics, Classical and Quantum Gravitation, Relativity Theory, Theoretical, Mathematical and Computational Physics, Quantum Physics, Differential Geometry