A First Course in General Relativity 2nd Edition by Bernard Schutz ISBN 0511539959 9780511539954

A First Course in General Relativity 2nd Edition by Bernard Schutz – Ebook PDF Instant Download/Delivery: 0511539959, 9780511539954
Full download A First Course in General Relativity 2nd Edition after payment

Product details:

ISBN 10: 0511539959 
ISBN 13: 9780511539954
Author: Bernard Schutz

Clarity, readability and rigor combine in the second edition of this widely-used textbook to provide the first step into general relativity for undergraduate students with a minimal background in mathematics. Topics within relativity that fascinate astrophysical researchers and students alike are covered with Schutz’s characteristic ease and authority – from black holes to gravitational lenses, from pulsars to the study of the Universe as a whole. This edition now contains discoveries by astronomers that require general relativity for their explanation; a revised chapter on relativistic stars, including new information on pulsars; an entirely rewritten chapter on cosmology; and an extended, comprehensive treatment of modern detectors and expected sources. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, whilst the informal writing style makes the subject matter easily accessible. Selected solutions for instructors are available under Resources.

A First Course in General Relativity 2nd Table of contents:

Part I: Review of Special Relativity and Introduction to Spacetime

Chapter 1: Review of Special Relativity

• 1.1 The Postulates of Special Relativity
• 1.2 Lorentz Transformations and Spacetime Intervals
• 1.3 Four-Vectors and Four-Tensors
• 1.4 Relativistic Mechanics: Energy, Momentum, and Mass
• 1.5 Electrodynamics in Relativistic Form
• 1.6 Causal Structure of Spacetime: Light Cones and Worldlines

Chapter 2: The Equivalence Principle and Gravitation

• 2.1 The Principle of Equivalence: Weak, Einstein, and Strong
• 2.2 Gravitational Redshift and Time Dilation
• 2.3 Local Inertial Frames and Freely Falling Observers
• 2.4 The Curvature of Spacetime: A Conceptual Introduction
• 2.5 Geodesics: The Path of Free Particles

Part II: The Mathematics of Curved Spacetime

Chapter 3: Manifolds and Metric Tensors

• 3.1 Differentiable Manifolds: Coordinates and Tangent Spaces
• 3.2 Tensors: Contravariant, Covariant, and Mixed
• 3.3 The Metric Tensor: Measuring Distances in Curved Spacetime
• 3.4 Tensor Algebra and Operations
• 3.5 Basis Vectors and Dual Basis Vectors

Chapter 4: Connections and Covariant Differentiation

• 4.1 Parallel Transport and the Idea of a Connection
• 4.2 The Christoffel Symbols: Components of the Connection
• 4.3 Covariant Derivatives of Tensors
• 4.4 Geodesic Equation and its Derivation
• 4.5 The Principle of Covariance

Chapter 5: Curvature of Spacetime

• 5.1 Riemann Curvature Tensor: Definition and Symmetries
• 5.2 Ricci Tensor and Scalar Curvature
• 5.3 The Bianchi Identities
• 5.4 Weyl Tensor (Conformal Curvature)
• 5.5 Interpretation of Curvature: Tidal Forces

Part III: Einstein’s Field Equations

Chapter 6: The Stress-Energy-Momentum Tensor

• 6.1 Definition and Physical Interpretation
• 6.2 Stress-Energy Tensor for Dust, Perfect Fluids, and Electromagnetic Fields
• 6.3 Conservation of Energy and Momentum
• 6.4 The Role of the Stress-Energy Tensor as the Source of Gravity

Chapter 7: Derivation and Interpretation of the Einstein Field Equations

• 7.1 Guiding Principles for the Field Equations
• 7.2 The Einstein Tensor
• 7.3 The Einstein Field Equations with the Cosmological Constant
• 7.4 Linearized Gravity and Newtonian Limit
• 7.5 Conservation Laws in General Relativity

Part IV: Solutions to Einstein’s Equations and Their Physical Implications

Chapter 8: The Schwarzschild Solution and Black Holes

• 8.1 Derivation of the Schwarzschild Metric (in vacuum, spherically symmetric)
• 8.2 Geodesics in Schwarzschild Spacetime: Orbits and Light Bending
• 8.3 Redshift and Gravitational Lensing
• 8.4 The Event Horizon and Singularities
• 8.5 Properties of Static Black Holes: Schwarzschild Radius
• 8.6 Experimental Tests of General Relativity (Revisited)

Chapter 9: Rotating Black Holes: The Kerr Metric

• 9.1 Introduction to Rotating Black Holes
• 9.2 The Kerr Metric: A Brief Overview
• 9.3 Ergosphere and Energy Extraction (Penrose Process)
• 9.4 Inner and Outer Horizons
• 9.5 Astrophysical Evidence for Black Holes

Chapter 10: Gravitational Waves

• 10.1 Generation of Gravitational Waves
• 10.2 Detection of Gravitational Waves: LIGO and Virgo
• 10.3 Properties of Gravitational Waves: Polarizations
• 10.4 Sources of Gravitational Waves: Merging Black Holes and Neutron Stars
• 10.5 Impact on Astrophysics and Fundamental Physics

Part V: Cosmology

Chapter 11: Introduction to Cosmology

• 11.1 The Cosmological Principle: Homogeneity and Isotropy
• 11.2 The Friedmann-Lemaître-Robertson-Walker (FLRW) Metric
• 11.3 Friedmann Equations: Dynamics of the Universe
• 11.4 Redshift and Hubble’s Law
• 11.5 Cosmological Distances

Chapter 12: Thermal History of the Universe

• 12.1 Radiation, Matter, and Dark Energy Domination
• 12.2 Big Bang Nucleosynthesis
• 12.3 Cosmic Microwave Background (CMB) Radiation
• 12.4 Inflationary Cosmology (Brief Introduction)

Chapter 13: Dark Matter and Dark Energy

• 13.1 Evidence for Dark Matter
• 13.2 Candidates for Dark Matter
• 13.3 Evidence for Dark Energy
• 13.4 The Cosmological Constant Problem and Quintessence
• 13.5 The Standard Model of Cosmology ($Lambda$CDM Model)

Part VI: Advanced Topics and Outlook (Optional/Concluding Chapters)

Chapter 14: Quantum Gravity and Beyond

• 14.1 The Need for Quantum Gravity
• 14.2 Conceptual Challenges and Approaches (e.g., String Theory, Loop Quantum Gravity)
• 14.3 Wormholes and Time Travel (Brief Discussion of Theoretical Possibilities)

People also search for A First Course in General Relativity 2nd:

    
a first course in general relativity
    
schutz a first course in general relativity
    
bernard schutz a first course in general relativity solutions
    
b. schutz a first course in general relativity pdf
    
a first course in general relativity 3rd edition

 

Tags: Bernard Schutz, Course, General