General relativity: a first examination

by Blecher, M., (Marvin)

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Title Statements

Full title :General relativity : a first examination / Marvin Blecher, Virginia Tech, USA

Edition Statements

Publication Date:2021
Edition:Second edition

Publication Statements

Publisher(s):World Scientific Publishing Co Pte Ltd
Place of Publication:New Jersey
Language:eng
Publication Date:2021

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9789811220449, 9811220441, 9789811220456, 981122045X
oclc:on1191241743
LC Classification:QC173.6

Intro -- Contents -- Preface -- Acknowledgments -- 1. Review of Special Relativity -- 1.1 Introduction -- 1.2 Lorentz Transform -- 1.3 Physics Consequences -- 1.4 Spacetime Diagrams -- Problems -- 2. Vectors and Tensors in Spacetime -- 2.1 Metric Tensor -- 2.2 Vector Transforms -- 2.3 Tensor Transforms -- 2.4 Forming Other Vectors -- 2.5 Twin Problem Revisited -- 2.6 Momentum and Energy -- 2.7 Doppler Shift -- 2.8 Gravity Affects Time -- 2.9 The Pound-Rebka Experiment -- 2.10 Global Positioning System -- 2.11 Tensor Equations -- Problems -- 3. Covariant Differentiation, Equations of Motion

3.1 Differentiation of Invariants and Vectors -- 3.2 Differentiation of Tensors -- 3.3 Gravity and the Locally Inertial Frame -- 3.4 Local Flatness Theorem -- 3.5 GR Equations of Motion -- Problems -- 4. Curvature -- 4.1 Geodesics -- 4.2 Parallel Transport -- 4.3 Curvature Tensors -- 4.4 Ricci Tensor, Bianchi Identity, Einstein Tensor -- Problems -- 5. Gravity and General Relativity -- 5.1 Review of Newtonian Gravity -- 5.2 Weak Gravity in GR -- 5.3 Gravitational Red Shift -- 5.4 Einstein's Field Equations -- 5.5 Schwarzschild Solution -- 5.6 Conserved Quantities: Massive Particles

5.7 The Twi…