Keywords:
Relativity (Physics).
;
Electronic books.
Type of Medium:
Online Resource
Pages:
1 online resource (164 pages)
Edition:
1st ed.
ISBN:
9781843271130
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=3008605
Language:
English
Note:
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.
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APPENDIX II: RELATIVISTIC THEORY OF THE NON-SYMMETRIC FIELD -- Field, equations of gravitational 131 -- Accelerated masses, inductive action of, 102 -- Addition and subtraction of tensors, 16 -- Addition theorem of velocities 37 -- Age of universe 127 -- Age of universe 128 -- Age of universe 130 -- Biot-Savart force 44 -- Centrifugal force 62 -- Clocks, moving 37 -- Compressible viscous fluid 62 -- Conservation principles 52 -- Continuum, four-dimensional 32 -- Contravariant vectors 65 -- Contravariant tensors 68 -- Co-ordinates, Cartesian 7 -- Cosmologic problem 108 -- Cosmologic constant 110 -- Co-variance of equation of continuity 22 -- Co-variant vector 65 -- Co-variant tensors 68 -- Criticisms of theory of relativity 29 -- Curvilinear co-ordinates 63 -- Differentiation of tensors 69 -- Displacement of spectral lines 92 -- Displacement of spectral lines 108 -- Energy and mass 45 -- Energy tensor of electromagnetic field 49 -- Energy tensor of matter 53 -- Equation of continuity, covariance of 60 -- Equations of motion of material particle 48 -- Equivalence of mass and energy 48 -- Euclidean geometry 7 -- Field, equations of gravitational 88 -- Field, equations of gravitational 154 -- Finiteness of universe 99 -- Fizeau 28 -- Four-dimensional continuum 32 -- Four-vector 40 -- Friedman 110 -- Fundamental tensor 67 -- Galilean regions 60 -- Galilean transformation 27 -- Gauss, theory of surfaces 62 -- Geodesic lines 78 -- Gravitation constant 89 -- Gravitational mass 59 -- Homogeneity of space 18 -- Hubble's expansion 110 -- Inductive action of accelerated masses 102 -- Inertia and gravitational mass, equality of 59 -- Inertia, criticisms of principle 60 -- Invariants 12 -- Isotropy of space 18 -- Isotropy of space 110 -- Kaluza 98 -- Levi-Civita 70 -- Light-cone 39 -- Light ray, path of 92 -- Light time 32.
,
Linear orthogonal transformation 10 -- Lorentz electromotive force 44 -- Lorentz transformation 31 -- Mach 58 -- Mach 98 -- Mach 99 -- Mach 107 -- Mass and energy 45 -- Mass, equality of gravitational and inertia 59 -- Maxwell's equations 24 -- Mercury, perihelion of 93 -- Mercury, perihelion of 97 -- Michelson and Morley 28 -- Minkowski 32 -- Motion of particle, equations of 48 -- Moving measuring-rods and clocks 37 -- Multiplication of tensors 16 -- Newtonian gravitation constant 89 -- Orthogonal transformations 10 -- Orthogonality, conditions of 10 -- Path of light ray 93 -- Perihelion of Mercury 93 -- Perihelion of Mercury 97 -- Poisson's equation 82 -- Preferred systems of co-ordinates 10 -- Pre-relativity physics, hypotheses of 27 -- Principle of equivalence 59 -- Principles of conservation 52 -- Radius of universe 106 -- Radius of universe 115 -- Rank of tensor 15 -- Riemann 65 -- Riemann tensor 75 -- Rotation 61 -- Simultaneity 18 -- Simultaneity 29 -- Sitter 28 -- Skew-symmetrical tensor 17 -- Solar eclipse expedition 93 -- Space, concept of 6 -- Space, homogeneity of 18 -- Space, isotropy of 18 -- Space, isotropy of 110 -- Spectral lines, displacement of 92 -- Spectral lines, displacement of 108 -- Straightest lines 78 -- Stress tensor 23 -- Symmetrical tensor 17 -- Tensors 15 -- Tensors 67 -- Tensors, addition and subtraction of 16 -- Tensors, contraction of 16 -- Tensors, formation by differentiation 69 -- Tensors, fundamental 67 -- Tensors, multiplication of 16 -- Tensors, operations 15 -- Tensors, rank of 15 -- Tensors, symmetrical and skew-symmetrical 17 -- Theory of relativity, criticisms 29 -- Thirring 102 -- Time, concept 29 -- Time-space concept 32 -- Transformation, Galilean 28 -- Transformation, linear orthogonal 10 -- Transformation, Lorentz 32 -- Transformation, Lorentz 38 -- Universe, finiteness of 99.
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Universe, finiteness of 109 -- Universe, radius of 106 -- Universe, radius of 115 -- Vectors, co-variant 66 -- Vectors, contra-variant 66 -- Velocities, addition theorem of 37 -- Viscous compressible fluid 23 -- Weyl 70 -- Weyl 93 -- Weyl 98.
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