Index:Relativity (1931).djvu

Title	Relativity
Author	Albert Einstein
Translator	Robert William Lawson
Illustrator	Hermann Struck
Year	1931
Publisher	Peter Smith
Location	New York
Source	djvu
Progress	Proofread—All pages of the work proper are proofread, but not all are validated
Transclusion	Fully transcluded

Pages (key to Page Status)

Cover – – – i – – ii iii iv v vi vii viii ix x xi xii xiii xiv 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 – – – – – Cover

CONTENTS

PART I
THE SPECIAL THEORY OF RELATIVITY
PAGE
I.	Physical Meaning of Geometrical Propositions	1
II.	The System of Co-ordinates	5
III.	Space and Time in Classical Mechanics	9
IV.	The Galileian System of Co-ordinates	12
V.	The Principle of Relativity (in the Restricted Sense)	14
VI.	The Theorem of the Addition of Velocities employed in Classical Mechanics	19
VII.	The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity	21
VIII.	On the Idea of Time in Physics	25
IX.	The Relativity of Simultaneity	30
X.	On the Relativity of the Conception of Distance	34
XI.	The Lorentz Transformation	36
XII.	The Behaviour of Measuring-Rods and Clocks in Motion	42
XIII.	Theorem of the Addition of Velocities. The Experiment of Fizeau	45
XIV.	The Heuristic Value of the Theory of Relativity	50
XV.	General Results of the Theory	52
XVI.	Experience and the Special Theory of Relativity	58
XVII.	Minkowski’s Four-dimensional Space	65
PART II
THE GENERAL THEORY OF RELATIVITY
XVIII.	Special and General Principle of Relativity	69
XIX.	The Gravitational Field	74
XX.	The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity	78
XXI.	In what Respects are the Foundations of Classical Mechanics and of the Special Theory of Relativity unsatisfactory?	84
XXII.	A Few Inferences from the General Principle of Relativity	87
XXIII.	Behaviour of Clocks and Measuring-Rods on a Rotating Body of Reference	93
XXIV.	Euclidean and Non-Euclidean Continuum	98
XXV.	Gaussian Co-ordinates	103
XXVI.	The Space-time Continuum of the Special Theory of Relativity considered as a Euclidean Continuum	108
XXVII.	The Space-time Continuum of the General Theory of Relativity is not a Euclidean Continuum	111
XXVIII.	Exact Formulation of the General Principle of Relativity	115
XXIX.	The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity	119
PART III
CONSIDERATIONS ON THE UNIVERSE AS A WHOLE
XXX.	Cosmological Difficulties of Newton’s Theory	125
XXXI.	The Possibility of a ‘‘Finite” and yet “Unbounded” Universe	128
XXXII.	The Structure of Space according to the General Theory of Relativity	135
APPENDICES
I.	Simple Derivation of the Lorentz Transformation	139
II.	Minkowski’s Four-dimensional Space (“World”) [Supplementary to Section XVII.]	146
III.	The Experimental Confirmation of the General Theory of Relativity	148
	(a) Motion of the Perihelion of Mercury	150
	(b) Deflection of Light by a Gravitational Field	152
	(c) Displacement of Spectral Lines towards the Red	155
Bibliography		161
Index		165