The Meaning of relativity / Albert Einstein.

Format:

Book

Author/Creator:

Einstein, Albert, 1879-1955.

Language:

English

Subjects (All):

Relativity (Physics).

Physics.

Physical Description:

1 online resource (164 p.)

Place of Publication:

London : Electric Book Co., c2001.

Language Note:

English

Contents:

Intro

Albert Einstein

CONTENTS

SPACE AND TIME IN PRE-RELATIVITY PHYSICS

Space, concept of 6

Co-ordinates, Cartesian 7

Euclidean geometry 7

Linear orthogonal transformation 10

Orthogonal transformations 10

Orthogonality, conditions of 10

Preferred systems of co-ordinates 10

Transformation, linear orthogonal 10

Invariants 12

Rank of tensor 15

Tensors 15

Tensors, operations 15

Tensors, rank of 15

Addition and subtraction of tensors, 16

Multiplication of tensors 16

Tensors, addition and subtraction of 16

Tensors, contraction of 16

Tensors, multiplication of 16

Tensors, symmetrical and skew-symmetrical 17

Homogeneity of space 18

Isotropy of space 18

Simultaneity 18

Co-variance of equation of continuity 22

Stress tensor 23

Viscous compressible fluid 23

Maxwell's equations 24

THE THEORY OF SPECIAL RELATIVITY

Galilean transformation 27

Pre-relativity physics, hypotheses of 27

Fizeau 28

Michelson and Morley 28

Sitter 28

Transformation, Galilean 28

Criticisms of theory of relativity 29

Simultaneity 29

Time, concept 29

Lorentz transformation 31

Four-dimensional continuum 32

Light time 32

Minkowski 32

Time-space concept 32

Transformation, Lorentz 32

Addition theorem of velocities 37

Clocks, moving 37

Moving measuring-rods and clocks 37

Velocities, addition theorem of 37

Transformation, Lorentz 38

Light-cone 39

Four-vector 40

Biot-Savart force 44

Lorentz electromotive force 44

Energy and mass 45

Equations of motion of material particle 48

Equivalence of mass and energy 48

Motion of particle, equations of 48

Energy tensor of electromagnetic field 49

Conservation principles 52

Principles of conservation 52.

Energy tensor of matter 53

THE GENERAL THEORY OF RELATIVITY

Mach 58

Gravitational mass 59

Inertia and gravitational mass, equality of 59

Principle of equivalence 59

Equation of continuity, covariance of 60

Galilean regions 60

Inertia, criticisms of principle 60

Rotation 61

Centrifugal force 62

Compressible viscous fluid 62

Gauss, theory of surfaces 62

Curvilinear co-ordinates 63

Contravariant vectors 65

Co-variant vector 65

Riemann 65

Vectors, co-variant 66

Vectors, contra-variant 66

Fundamental tensor 67

Tensors 67

Contravariant tensors 68

Co-variant tensors 68

Differentiation of tensors 69

Tensors, formation by differentiation 69

Levi-Civita 70

Weyl 70

Riemann tensor 75

Geodesic lines 78

Straightest lines 78

GENERAL THEORY OF RELATIVITY (continued)

Poisson's equation 82

Equations of gravitational field 88

Gravitation constant 89

Displacement of spectral lines 92

Light ray, path of 92

Spectral lines, displacement of 92

Path of light ray 93

Perihelion of Mercury 93

Solar eclipse expedition 93

Weyl 93

Perihelion of Mercury 97

Kaluza 98

Mach 98

Weyl 98

Finiteness of universe 99

Mach 99

Accelerated masses, inductive action of, 102

Inductive action of accelerated masses 102

Thirring 102

Radius of universe 106

Mach 107

APPENDIX I: ON THE 'COSMOLOGIC PROBLEM'

Cosmologic problem 108

Displacement of spectral lines 108

Spectral lines, displacement of 108

Universe, finiteness of 109

Cosmologic constant 110

Friedman 110

Hubble's expansion 110

Isotropy of space 110

Radius of universe 115

Age of universe 127

Age of universe 128

Age of universe 130.

APPENDIX II: RELATIVISTIC THEORY OF THE NON-SYMMETRIC FIELD

Field, equations of gravitational 131

Age of universe 130

Continuum, four-dimensional 32

Energy tensor of matter 53

Field, equations of gravitational 88

Field, equations of gravitational 154

Light time 32.

Linear orthogonal transformation 10

Mass and energy 45

Mass, equality of gravitational and inertia 59

Mercury, perihelion of 93

Mercury, perihelion of 97

Newtonian gravitation constant 89

Principles of conservation 52

Skew-symmetrical tensor 17

Space, homogeneity of 18

Space, isotropy of 18

Space, isotropy of 110

Symmetrical tensor 17

Tensors, fundamental 67

Theory of relativity, criticisms 29

Universe, finiteness of 99.

Universe, finiteness of 109

Universe, radius of 106

Universe, radius of 115

Weyl 98.

Notes:

Bibliographic Level Mode of Issuance: Monograph

ISBN:

1-4619-1153-2

OCLC:

70737830