Cosmological Special Relativity:... | Buy

Deals with special relativity theory and its application to cosmology. Presents Einstein's theory of space and time in detail, and describes the large scale structure of space, time, and velocity as a new cosmological special relativity. DLC: Cosmology.

Preface

vii

1 Introduction

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1.1 Historical background

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1.2 Cosmology and

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1.3 References

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2 Cosmological Special Relativity

7

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2.1 Introduction

8

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2.2 Fundamentals of special

8

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2.3 Present-day cosmology

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2.4 Postulates

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2.5 Cosmic frames

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2.6 Spacevelocity in cosmology

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2.7 Pre-special-relativity

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2.8 Relative cosmic time

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2.9 Inadequacy of

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2.10 Universe expansion versus

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2.11 The cosmological

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2.12 Interpretation of the

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2.13 Another derivation of the

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2.14 The galaxy cone

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2.15 Consequences of the

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2.15.1 Classical limit

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2.15.2 Length contraction

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2.15.3 Velocity contraction

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2.15.4 Law of addition of cosmic times

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2.15.5 Inflation of the Universe

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2.15.6 Minimal acceleration in nature

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2.15.7 Cosmological redshift

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2.16 Concluding remarks

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2.17 References

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3 Extension of the Lorentz Group to Cosmology

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3.1 Preliminaries

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3.2 The line element

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3.3 The transformations explicitly

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3.4 The generalized transformation

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3.5 Concluding remarks

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3.6 References

35

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4 Fundamentals of Einstein's Special Relativity

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4.1 Postulates of special relativity

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4.1.1 The principle of relativity

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4.1.2 Coordinates

39

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4.1.3 Inertial coordinate system

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4.1.4 Simultaneity

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4.2 The Galilean transformation

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4.2.1 The Galilean group

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4.3 The Lorentz transformation

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4.3.1 Measuring rods and clocks

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4.3.2 Spatial coordinates and time

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4.3.3 Einstein's paradox

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4.3.4 Apparent incompatibility of the

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4.3.5 Remark on action-at-a-distance

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4.3.6 Derivation of the Lorentz

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4.3.7 The Lorentz group

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4.3.8 Problems

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4.4 Consequences of the Lorentz

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4.4.1 Nonrelativistic limit

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4.4.2 The Lorentz contraction of lengths

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4.4.3 The dilation of time

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4.4.4 The addition of velocities law

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4.4.5 Problems

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4.5 References

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5 Structure of Spacetime

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5.1 Special relativity as a

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5.2 Four dimensions in

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5.3 The Minkowskian spacetime

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5.4 Proper time

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5.5 Velocity and

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5.6 Problems

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5.7 References

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6 The Light Cone

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6.1 The light cone

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6.2 Events and

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6.3 Problems

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6.4 Future and past

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6.5 References

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7 Mass, Energy and Momentum

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7.1 Preliminaries

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7.2 Mass, energy and momentum

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7.3 Angular-momentum

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7.4 Energy-momentum

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7.5 Problems

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7.6 References

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Index

101

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