The Resource General relativistic dynamics : extending Einstein's legacy throughout the universe, Fred I. Cooperstock
General relativistic dynamics : extending Einstein's legacy throughout the universe, Fred I. Cooperstock
Resource Information
The item General relativistic dynamics : extending Einstein's legacy throughout the universe, Fred I. Cooperstock represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item General relativistic dynamics : extending Einstein's legacy throughout the universe, Fred I. Cooperstock represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This book brings Einstein's general relativity into action in new ways at scales ranging from the tiny Planck scale to the scale of immense galactic clusters. It presents the case that Einstein's theory of gravity can describe the observed dynamics of galaxies without invoking the unknown "dark matter" required in models based on Newtonian gravity. Drawing on the author's experience as a lecturer and on his own research, the book covers the essentials of Einstein's special and general relativity at a level accessible to undergraduate students. The early chapters provide a compact introduction to relativity for readers who have little or no background in the subject. Hermann Bondi's very transparent approach to special relativity is expanded to resolve the "twin paradox" using only elementary mathematics. In later chapters, general relativity is used to extend the concept of the Planck scale, to address the role of the cosmological term and to analyze the concept of "time machines."
 Language
 eng
 Extent
 1 online resource (ix, 232 pages)
 Contents

 ch. 1. Introduction
 ch. 2. Essentials of special relativity. 2.1. Basic principles. 2.2. The spacetime interval and the Lorentz transformation. 2.3. Lorentz contraction and time dilation. 2.4. Causality. 2.5. Transformation of velocity and the aberration of light. 2.6. Fourvectors and fourtensors. 2.7. Special relativistic dynamics. 2.8. Relativistic Doppler shift
 ch. 3. Bondi's kcalculus approach to special relativity. 3.1. Introduction. 3.2. VelocityDoppler factor connection. 3.3. Composition law for velocities and Doppler factors. 3.4. Derivation of the Lorentz transformation. 3.5. The twin or clock paradox
 ch. 4. Essentials of general relativity. 4.1. The need for a new theory of gravity. 4.2. The principle of equivalence. 4.3. The metric tensor. 4.4. Basic tensor calculusintroduction. 4.5. Parallel transport, spacetime curvature and the Riemann tensor. 4.6. Geodesics. 4.7. Covariant conservation laws and the Einstein field equations. 4.8. EinsteinMaxwell equations and motion of a charged body in general relativity. 4.9. Summary of the steps from Newtonian gravity to Einstein's general relativity
 ch. 5. Schwarzschild solution and its consequences. 5.1. The metric. 5.2. The measurement of distance and time in general relativity. 5.3. The event horizon, black holes and singularities. 5.4. The tests of general relativity
 ch. 6. Gravitational waves. 6.1. Introduction. 6.2. Linearized field equations. 6.3. The energy issue and the pseudotensor. 6.4. The energy localization hypothesis
 ch. 7. The normal scales of physics and the Planck scale. 7.1. The hierarchy of scales. 7.2. The fundamental interactions of nature. 7.3. The Planck scale and the issue of the quantization of gravity. 7.4. Adding spin and charge to the Planck scale. 7.5. Quantum limits, spectra, the value of [symbol]
 ch. 8. General relativistic cosmology. 8.1. Sizes of astronomical elements. 8.2. Early ideas about cosmology. 8.3. Friedmann universes. 8.4. The cosmological term
 ch. 9. Motion of the stars in the galaxy. 9.1. Introduction. 9.2. General relativistic effects on the stellar motions in galaxies. 9.3. Modeling the observed galactic rotation curves. 9.4. A velocity dispersion test for the presence of extra matter. 9.5. Summary comments on rotation velocities of galaxies
 ch. 10. Clusters of galaxies. 10.1. Preliminary comments. 10.2. Spherical dust collapse. 10.3. Velocity of particles falling in vacuum toward a spherical concentration of mass. 10.4. The velocity of dust in collapse. 10.5. Observing an idealized galactic cluster. 10.6. Current evidence for dark matter
 ch. 11. Closed timelike curves and time machines. 11.1. The background. 11.2. Creating closed timelike curves and Gödel's spacetime. 11.3. Reexamining the standard closed timelike curve interpretation. 11.4. The role of our experience in nature. 11.5. Gott's moving cosmic strings
 ch. 12. The direction of physics research
 ch. 13. Summary with concluding commentary
 Isbn
 9789814271172
 Label
 General relativistic dynamics : extending Einstein's legacy throughout the universe
 Title
 General relativistic dynamics
 Title remainder
 extending Einstein's legacy throughout the universe
 Statement of responsibility
 Fred I. Cooperstock
 Language
 eng
 Summary
 This book brings Einstein's general relativity into action in new ways at scales ranging from the tiny Planck scale to the scale of immense galactic clusters. It presents the case that Einstein's theory of gravity can describe the observed dynamics of galaxies without invoking the unknown "dark matter" required in models based on Newtonian gravity. Drawing on the author's experience as a lecturer and on his own research, the book covers the essentials of Einstein's special and general relativity at a level accessible to undergraduate students. The early chapters provide a compact introduction to relativity for readers who have little or no background in the subject. Hermann Bondi's very transparent approach to special relativity is expanded to resolve the "twin paradox" using only elementary mathematics. In later chapters, general relativity is used to extend the concept of the Planck scale, to address the role of the cosmological term and to analyze the concept of "time machines."
 Cataloging source
 LLB
 http://library.link/vocab/creatorName
 Cooperstock, F.
 Dewey number
 530.11
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QC173.6
 LC item number
 .C67 2009eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 World Scientific (Firm)
 http://library.link/vocab/subjectName

 General relativity (Physics)
 Gravity
 Gravitational fields
 Galaxies
 SCIENCE
 Galaxies
 General relativity (Physics)
 Gravitational fields
 Gravity
 Label
 General relativistic dynamics : extending Einstein's legacy throughout the universe, Fred I. Cooperstock
 Bibliography note
 Includes bibliographical references (pages 217224) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 ch. 1. Introduction  ch. 2. Essentials of special relativity. 2.1. Basic principles. 2.2. The spacetime interval and the Lorentz transformation. 2.3. Lorentz contraction and time dilation. 2.4. Causality. 2.5. Transformation of velocity and the aberration of light. 2.6. Fourvectors and fourtensors. 2.7. Special relativistic dynamics. 2.8. Relativistic Doppler shift  ch. 3. Bondi's kcalculus approach to special relativity. 3.1. Introduction. 3.2. VelocityDoppler factor connection. 3.3. Composition law for velocities and Doppler factors. 3.4. Derivation of the Lorentz transformation. 3.5. The twin or clock paradox  ch. 4. Essentials of general relativity. 4.1. The need for a new theory of gravity. 4.2. The principle of equivalence. 4.3. The metric tensor. 4.4. Basic tensor calculusintroduction. 4.5. Parallel transport, spacetime curvature and the Riemann tensor. 4.6. Geodesics. 4.7. Covariant conservation laws and the Einstein field equations. 4.8. EinsteinMaxwell equations and motion of a charged body in general relativity. 4.9. Summary of the steps from Newtonian gravity to Einstein's general relativity  ch. 5. Schwarzschild solution and its consequences. 5.1. The metric. 5.2. The measurement of distance and time in general relativity. 5.3. The event horizon, black holes and singularities. 5.4. The tests of general relativity  ch. 6. Gravitational waves. 6.1. Introduction. 6.2. Linearized field equations. 6.3. The energy issue and the pseudotensor. 6.4. The energy localization hypothesis  ch. 7. The normal scales of physics and the Planck scale. 7.1. The hierarchy of scales. 7.2. The fundamental interactions of nature. 7.3. The Planck scale and the issue of the quantization of gravity. 7.4. Adding spin and charge to the Planck scale. 7.5. Quantum limits, spectra, the value of [symbol]  ch. 8. General relativistic cosmology. 8.1. Sizes of astronomical elements. 8.2. Early ideas about cosmology. 8.3. Friedmann universes. 8.4. The cosmological term  ch. 9. Motion of the stars in the galaxy. 9.1. Introduction. 9.2. General relativistic effects on the stellar motions in galaxies. 9.3. Modeling the observed galactic rotation curves. 9.4. A velocity dispersion test for the presence of extra matter. 9.5. Summary comments on rotation velocities of galaxies  ch. 10. Clusters of galaxies. 10.1. Preliminary comments. 10.2. Spherical dust collapse. 10.3. Velocity of particles falling in vacuum toward a spherical concentration of mass. 10.4. The velocity of dust in collapse. 10.5. Observing an idealized galactic cluster. 10.6. Current evidence for dark matter  ch. 11. Closed timelike curves and time machines. 11.1. The background. 11.2. Creating closed timelike curves and Gödel's spacetime. 11.3. Reexamining the standard closed timelike curve interpretation. 11.4. The role of our experience in nature. 11.5. Gott's moving cosmic strings  ch. 12. The direction of physics research  ch. 13. Summary with concluding commentary
 Control code
 613369058
 Dimensions
 other
 Extent
 1 online resource (ix, 232 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9789814271172
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations (some color)
 Quality assurance targets
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)613369058
 Label
 General relativistic dynamics : extending Einstein's legacy throughout the universe, Fred I. Cooperstock
 Bibliography note
 Includes bibliographical references (pages 217224) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 ch. 1. Introduction  ch. 2. Essentials of special relativity. 2.1. Basic principles. 2.2. The spacetime interval and the Lorentz transformation. 2.3. Lorentz contraction and time dilation. 2.4. Causality. 2.5. Transformation of velocity and the aberration of light. 2.6. Fourvectors and fourtensors. 2.7. Special relativistic dynamics. 2.8. Relativistic Doppler shift  ch. 3. Bondi's kcalculus approach to special relativity. 3.1. Introduction. 3.2. VelocityDoppler factor connection. 3.3. Composition law for velocities and Doppler factors. 3.4. Derivation of the Lorentz transformation. 3.5. The twin or clock paradox  ch. 4. Essentials of general relativity. 4.1. The need for a new theory of gravity. 4.2. The principle of equivalence. 4.3. The metric tensor. 4.4. Basic tensor calculusintroduction. 4.5. Parallel transport, spacetime curvature and the Riemann tensor. 4.6. Geodesics. 4.7. Covariant conservation laws and the Einstein field equations. 4.8. EinsteinMaxwell equations and motion of a charged body in general relativity. 4.9. Summary of the steps from Newtonian gravity to Einstein's general relativity  ch. 5. Schwarzschild solution and its consequences. 5.1. The metric. 5.2. The measurement of distance and time in general relativity. 5.3. The event horizon, black holes and singularities. 5.4. The tests of general relativity  ch. 6. Gravitational waves. 6.1. Introduction. 6.2. Linearized field equations. 6.3. The energy issue and the pseudotensor. 6.4. The energy localization hypothesis  ch. 7. The normal scales of physics and the Planck scale. 7.1. The hierarchy of scales. 7.2. The fundamental interactions of nature. 7.3. The Planck scale and the issue of the quantization of gravity. 7.4. Adding spin and charge to the Planck scale. 7.5. Quantum limits, spectra, the value of [symbol]  ch. 8. General relativistic cosmology. 8.1. Sizes of astronomical elements. 8.2. Early ideas about cosmology. 8.3. Friedmann universes. 8.4. The cosmological term  ch. 9. Motion of the stars in the galaxy. 9.1. Introduction. 9.2. General relativistic effects on the stellar motions in galaxies. 9.3. Modeling the observed galactic rotation curves. 9.4. A velocity dispersion test for the presence of extra matter. 9.5. Summary comments on rotation velocities of galaxies  ch. 10. Clusters of galaxies. 10.1. Preliminary comments. 10.2. Spherical dust collapse. 10.3. Velocity of particles falling in vacuum toward a spherical concentration of mass. 10.4. The velocity of dust in collapse. 10.5. Observing an idealized galactic cluster. 10.6. Current evidence for dark matter  ch. 11. Closed timelike curves and time machines. 11.1. The background. 11.2. Creating closed timelike curves and Gödel's spacetime. 11.3. Reexamining the standard closed timelike curve interpretation. 11.4. The role of our experience in nature. 11.5. Gott's moving cosmic strings  ch. 12. The direction of physics research  ch. 13. Summary with concluding commentary
 Control code
 613369058
 Dimensions
 other
 Extent
 1 online resource (ix, 232 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9789814271172
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations (some color)
 Quality assurance targets
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)613369058
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