Relativity, Thermodynamics, and Cosmology

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Courier Corporation, Jan 1, 1987 - Science - 501 pages
This landmark study by a distinguished physicist develops three important themes: a coherent and inclusive account of Einstein’s theory of relativity; the extension of thermodynamics to special and general relativity; and the applications of relativistic mechanics and relativistic thermodynamics in the construction and interpretation of cosmological models. The first three chapters cover the special theory of relativity, in particular the kinematical, mechanical, and electrodynamic consequences of the two postulates of special relativity. Chapter IV develops the close relationships between special relativity and electromagnetic theory, while Chapter V explores less familiar consequences of the theory, including the effect of relativity in providing a natural starting-point for the energy content of thermodynamic systems. Chapter VI considers the general theory of relativity together with some of its more elementary applications. Included are the principle of covariance, the principle of equivalence, and the hypothesis of Mach, along with other topics. Chapter VII, on relativistic mechanics, is divided into two parts — general mechanical principles and solutions of the field equations. Chapter VIII discusses relativistic electrodynamics, presenting further extensions to general relativity both for the Lorentz electron theory and for the Minkowski macroscopic theory. Chapter IX deals with relativistic thermodynamics and considers the extension of thermodynamics from special to general relativity, together with its applications. Finally, in Chapter X, the author takes up the application of relativistic mechanics and relativistic thermodynamics to cosmological models.
Among the important features of this study, which set it apart from older texts on relativity, are the extensions of thermodynamics to general relativity, the material on non-static models of the universe, and the treatment of gravitational interaction of light rays and particles. Throughout, stress is on the physical nature of assumptions and conclusions and the physical significance of their interconnection, rather than mathematical generality or rigor. Several helpful appendices complete the book, including formulae for vector and tensor analysis, useful constants, and symbols for quantities.
 

Contents

INTRODUCTION
1
12
27
THE DYNAMICS OF A CONTINUOUS MECHANICAL MEDIUM
30
Restatement of Results in Terms of the Absolute Stresses Pi
36
SPECIAL RELATIVITY AND MECHANICS
42
The Relations between Mass Energy and Momentum
48
SPECIAL RELATIVITY AND ELECTRODYNAMICS
60
ELECTRON THEORY
84
APPLICATIONS OF RELATIVISTIC THERMODYNAMICS
304
Chemical Equilibrium in a Gravitating Sphere of Fluid
311
On the Increased Possibility in Relativistic Thermodynamics
319
On the Possibility for Irreversible Processes without Reaching
326
The Geometry of the Einstein Universe
337
Absence of Matter and Radiation from the de Sitter Universe
349
THE APPLICATION OF RELATIVISTIC MECHANICS TO NON
361
Change in Doppler Effect with Distance
393

MACROSCOPIC THEORY
101
The Constitutive Equations for Moving Matter in Ordinary
108
THE THERMODYNAMICS OF STATIONARY SYSTEMS
118
THE THERMODYNAMICS OF MOVING SYSTEMS
152
d Heat
159
THE GENERAL THEORY OF RELATIVITY
165
ELEMENTARY APPLICATIONS OF GENERAL RELATIVITY
192
RELATIVISTIC MECHANICS
214
SOLUTIONS OF THE FIELD EQUATIONS
236
RELATIVISTIC ELECTRODYNAMICS
258
SOME APPLICATIONS OF RELATIVISTIC ELECTRODYNAMICS
264
The EnergyMomentum Tensor for Disordered Radiation
271
The Gravitational Action of a Pulse of Light
279
Discussion of the Gravitational Interaction of Light Rays
285
RELATIVISTIC THERMODYNAMICS
291
c Monotonic Universes of Type
399
On the Instability of the Einstein Static Universe
405
Ever Expanding Models Which do not Start from a Static
412
165
416
THE APPLICATION OF RELATIVISTIC THERMODYNAMICS
420
c Method of Obtaining Covariant Expressions
423
74 The Principle of Equivalence
435
CORRELATION OF PHENOMENA IN THE ACTUAL UNIVERSE
445
The Relation between Coordinate Position and Luminosity
462
The Relation between Coordinate Position and Counts
468
The Relation between Redshift and Rate of Disappearance
475
Some General Remarks Concerning Cosmological Models
482
SYMBOLS FOR QUANTITIES
489
SOME FORMULAE OF VECTOR ANALYSIS
491

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