General relativity : a geometric approach / / Malcolm Ludvigsen [[electronic resource]]

• Autore: Ludvigsen Malcolm <1946->
• Pubblicazione: Cambridge : , : Cambridge University Press, , 1999
• Descrizione fisica: 1 online resource (xii, 217 pages) : digital, PDF file(s)
• Disciplina: 530.11
• Soggetto topico: General relativity (Physics); Space and time; Geometrodynamics
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references (p. 213-214) and index.
• Nota di contenuto: Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Introduction; 2 Events and Spacetime; 3 Flat Spacetime; 4 The Geometry of Flat Spacetime; 5 Energy; 6 Tensors; 7 Tensor Fields; 8 Field Equations; 9 Curved Spacetime; 10 Curvature and Gravity; 11 Null Congruences; 12 Asymptotic Flatness and Symmetries; 13 Schwarzschild Geometries and Spacetimes; 14 Black Holes and Singularities; 15 The Spacetime of the Universe; 16 Relativistic Cosmology; Solutions and Hints to Selected Exercises; Chapter 2; Chapter 3; Chapter 4; Chapter 5; Chapter 6; Chapter 7; Chapter 8; Chapter 9 ; Chapter 10Chapter 11; Chapter 12; Chapter 13; Chapter 14; Chapter 16; Bibliography; Index
• Sommario/riassunto: Starting with the idea of an event and finishing with a description of the standard big-bang model of the Universe, this textbook provides a clear, concise and up-to-date introduction to the theory of general relativity, suitable for final-year undergraduate mathematics or physics students. Throughout, the emphasis is on the geometric structure of spacetime, rather than the traditional coordinate-dependent approach. Topics covered include flat spacetime (special relativity), Maxwell fields, the energy-momentum tensor, spacetime curvature and gravity, Schwarzschild and Kerr spacetimes, black holes and singularities, and cosmology. All physical assumptions are clearly spelled out and the necessary mathematics is developed along with the physics. Exercises are provided at the end of each chapter and key ideas are illustrated with worked examples. Solutions and hints to selected problems are provided at the end of the book. This textbook will enable the student to develop a sound understanding of the theory of general relativity.
• Titolo autorizzato: General Relativity
• ISBN: 1-107-11540-X; 1-280-42020-0; 9786610420209; 0-511-17249-4; 0-511-04006-7; 0-511-15188-8; 0-511-30205-3; 0-511-75577-5; 0-511-05088-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910816131203321
• Lo trovi qui: Univ. Federico II