| Titre : |
A Mathematical Journey to Relativity : Deriving Special and General Relativity with Basic Mathematics |
| Type de document : |
texte imprimé |
| Auteurs : |
Wladimir-Georges Boskoff, Auteur ; Salvatore Capozziello, Auteur |
| Mention d'édition : |
2nd Ed |
| Editeur : |
Berlin : Springer-Verlag |
| Année de publication : |
2024 |
| Importance : |
XIX-536 P. |
| Présentation : |
Relie, couv. en coul., graph |
| Format : |
23 cm |
| ISBN/ISSN/EAN : |
978-3-031-54822-2 |
| Langues : |
Anglais (eng) |
| Catégories : |
04.00 General relativity and gravitation
|
| Mots-clés : |
Mathematical methods in physics Algebraic geometry Relativity general |
| Index. décimale : |
04.00 |
| Résumé : |
1 Euclidean and Non-Euclidean Geometries: How They Appear. - 2 Basic Facts in Euclidean and Minkowski Plane Geometry. - 3 From Projective Geometry to Poincaré Disk. How to Carry Out a Non-Euclidean Geometry Model. - 4 Revisiting the Differential Geometry of Surfaces in 3D-Spaces. - 5 Basic Differential Geometry Concepts and Their Applications. - 6 Differential Geometry at Work: Two Ways of Thinking the Gravity. The Einstein Field Equations from a Geometric Point of View. - 7 Differential Geometry at Work: Euclidean,Non-Euclidean,and Elliptic Geometric Models from Geometry and Physics. - 8 Gravity in Newtonian Mechanics. - 9 Special Relativity. - 10 General Relativity and Relativistic Cosmology. - 11 A Geometric Realization of Relativity: The de Sitter Space-time. - 12 Another Geometric Realization of Relativity: The Anti-de Sitter Space–Time. - 13 More Than Metric: Geometric Objects for Alternative Pictures of Gravity. - 14 Metric-Affine Theories of Gravity |