Gravity An Introduction to Einstein's General Relativity

ISBN-10: 0805386629
ISBN-13: 9780805386622
Edition: 2003
Authors: James B. Hartle
List price: $117.80 Buy it from $24.70 Rent it from $31.81
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Description: Einstein's theory of general relativity is a cornerstone of modern physics. It also touches upon a wealth of topics that students find fascinatingblack holes, warped spacetime, gravitational waves, and cosmology. Until now, it has not been included  More...

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Book details

List price: $117.80
Copyright year: 2003
Publisher: Benjamin-Cummings Publishing Company
Publication date: 12/26/2002
Binding: Hardcover
Pages: 656
Size: 7.70" wide x 9.40" long x 1.50" tall
Weight: 3.586
Language: English

Einstein's theory of general relativity is a cornerstone of modern physics. It also touches upon a wealth of topics that students find fascinatingblack holes, warped spacetime, gravitational waves, and cosmology. Until now, it has not been included in the curriculum of many undergraduate physics courses because the required math is too advanced. The aim of this ground-breaking new text is to bring general relativity into the undergraduate curriculum and make this fundamental theory accessible to virtually all physics majors. Using a "physics first" approach to the subject, renowned relativist James Hartle provides a fluent and accessible introduction that uses a minimum of new mathematics and illustrates a wealth of applications. Recognizing that there is typically not enough time in a short introductory course for the traditional, math-first, approach to the subject, Hartle presents a physics-first introduction to general relativity that begins with the essential physical applications.

Preface
Space and Time in Newtonian Physics and Special Relativity
Gravitational Physics
Geometry as Physics
Gravity Is Geometry
Experiments in Geometry
Different Geometries
Specifying Geometry
Coordinates and Line Element
Coordinates and Invariance
Space, Time, and Gravity in Newtonian Physics
Inertial Frames
The Principle of Relativity
Newtonian Gravity
Gravitational and Inertial Mass
Variational Principle for Newtonian Mechanics
Principles of Special Relativity
The Addition of Velocities and the Michelson-Morley Experiment
Einstein's Resolution and Its Consequences
Spacetime
Time Dilation and the Twin Paradox
Lorentz Boosts
Units
Special Relativistic Mechanics
Four-Vectors
Special Relativistic Kinematics
Special Relativistic Dynamics
Variational Principle for Free Particle Motion
Light Rays
Observers and Observations
The Curved Spacetimes of General Relativity
Gravity as Geometry
Testing the Equality of Gravitational and Inertial Mass
The Equivalence Principle
Clocks in a Gravitational Field
The Global Positioning System
Spacetime Is Curved
Newtonian Gravity in Spacetime Terms
The Description of Curved Spacetime
Coordinates
Metric
The Summation Convention
Local Inertial Frames
Light Cones and World Lines
Length, Area, Volume, and Four-Volume for Diagonal Metrics
Embedding Diagrams and Wormholes
Vectors in Curved Spacetime
Three-Dimensional Surfaces in Four-Dimensional Spacetime
Geodesics
The Geodesic Equation
Solving the Geodesic Equation--Symmetries and Conservation Laws
Null Geodesics
Local Inertial Frames and Freely Falling Frames
The Geometry Outside a Spherical Star
Schwarzschild Geometry
The Gravitational Redshift
Particle Orbits--Precession of the Perihelion
Light Ray Orbits--The Deflection and Time Delay of Light
Solar System Tests of General Relativity
Gravitational Redshift
PPN Parameters
Measurements of the PPN Parameter [gamma]
Measurement of the PPN Parameter [beta]--Precession of Mercury's Perihelion
Relativistic Gravity in Action
Gravitational Lensing
Accretion Disks Around Compact Objects
Binary Pulsars
Gravitational Collapse and Black Holes
The Schwarzschild Black Hole
Collapse to a Black Hole
Kruskal-Szekeres Coordinates
Nonspherical Gravitational Collapse
Astrophysical Black Holes
Black Holes in X-Ray Binaries
Black Holes in Galaxy Centers
Quantum Evaporation of Black Holes--Hawking Radiation
A Little Rotation
Rotational Dragging of Inertial Frames
Gyroscopes in Curved Spacetime
Geodetic Precession
Spacetime Outside a Slowly Rotating Spherical Body
Gyroscopes in the Spacetime of a Slowly Rotating Body
Gyros and Freely Falling Frames
Rotating Black Holes
Cosmic Censorship
The Kerr Geometry
The Horizon of a Rotating Black Hole
Orbits in the Equatorial Plane
The Ergosphere
Gravitational Waves
A Linearized Gravitational Wave
Detecting Gravitational Waves
Gravitational Wave Polarization
Gravitational Wave Interferometers
The Energy in Gravitational Waves
The Universe Observed
The Composition of the Universe
The Expanding Universe
Mapping the Universe
Cosmological Models
Homogeneous, Isotropic Spacetimes
The Cosmological Redshift
Matter, Radiation, and Vacuum
Evolution of the Flat FRW Models
The Big Bang and Age and Size of the Universe
Spatially Curved Robertson-Walker Metrics
Dynamics of the Universe
Which Universe and Why?
Surveying the Universe
Explaining the Universe
The Einstein Equation
A Little More Math
Vectors
Dual Vectors
Tensors
The Covariant Derivative
Freely Falling Frames Again
Curvature and the Einstein Equation
Tidal Gravitational Forces
Equation of Geodesic Deviation
Riemann Curvature
The Einstein Equation in Vacuum
Linearized Gravity
The Source of Curvature
Densities
Conservation
Conservation of Energy-Momentum
The Einstein Equation
The Newtonian Limit
Gravitational Wave Emission
The Linearized Einstein Equation with Sources
Solving the Wave Equation with a Source
The General Solution of Linearized Gravity
Production of Weak Gravitational Waves
Gravitational Radiation from Binary Stars
The Quadrupole Formula for the Energy Loss in Gravitational Waves
Effects of Gravitational Radiation Detected in a Binary Pulsar
Strong Source Expectations
Relativistic Stars
The Power of the Pauli Principle
Relativistic Hydrostatic Equilibrium
Stellar Models
Matter in Its Ground State
Stability
Bounds on the Maximum Mass of Neutron Stars
Appendixes
Units
Units in General
Units Employed in this Book
Curvature Quantities
Curvature and the Einstein Equation
Pedagogical Strategy
Pedagogical Principles
Organization
Constructing Courses
Bibliography
Index

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