The road to relativity: the history and meaning of Einstein's "The foundation of general relativity" featuring the original manuscript of Einstein's masterpiece
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ ; Oxford
Princeton University Press
2015
|
| Schlagworte: | |
| Online-Zugang: | Klappentext Inhaltsverzeichnis |
| Beschreibung: | XVIII, 237 Seiten Illustrationen, Faksimiles 26 cm |
| ISBN: | 9780691162539 |
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Datensatz im Suchindex
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T H E
O A Ľ»
T o
T I v
X T Y
This richly annotated facsimile edi-
tion of “The Foundation of General
Relativity” introduces a new gener-
ation of readers to Albert Einstein’s
theory of gravitation- Written in 1915,
this remarkable document is a water-
shed in the history of physics and an
enduring testament to the elegance
arid precision of Einstein’s thought.
Presented here is a beautiful facsimile
of Einstein’s original handwritten
manuscript, along with its English
translation and insightful page-by-
page commentary that places the text
in historical and scientific context.
Tlanoch Gutfreund and Jürgen Renn’s
concise introduction traces Einstein’s
intellectual odyssey from special to
general relativity, and their essay “The
Charm of a Manuscript” provides a
delightful meditation on the varied
afterlife of Einstein’s text.
Published on the centennial of
Einstein’s general theory of relativity
and featuring a foreword by John
Stachel, this handsome edition also
includes a biographical glossary of the
figures discussed in the booh, a com-
prehensive bibliography, suggestions
for further reading, and numerous
photos and illustrations throughout.
HANOCH GUTFREUND is professor
of theoretical physics at the Hebrew
University of Jerusalem, who г o ho
is also the academic director of the
Albert Eins tein Archives.
JURGEN RENN is a director at the Max
Planck Institute for the History of
Science in Berlin. H i s hooks include
ТЛе Gc/zesńs of' Grţ? гг c fez l Rolatioity.
CONTENTS
A Brief Note on the Publication of This Work xi
MENACHEM BEN-SASSON AND MARTIN STRATMANN
Foreword xiii
JOHN STACHEL
Preface xvii
The Charm of a Manuscript 1
Einstein’s Intellectual Odyssey to General Relativity 7
The Annotated Manuscript 37
I he titles set in italics are Einstein's original titles featured in the manuscript; the page numbers in the
titles relate to the annotated pages facing the original facsimile.
Vie Foundation of the General Vieory of Relativity
A. Fundamental Considerations on the Postulate of Relativity
$ I. Observations on the Special Vieory of Relativity
p. 1; Why did Einstein go beyond special relativity? 39
p. 2: What was wrong with the classical notions of space and time? 41
§2. The Need for an Extension of the Postulate of Relativity
p. 3: Why did Einstein see difficulties that others ignored? 43
p. 4: What was Einsteins happiest thought and how did it come about? 45
§3. The Spacetime Continuum. Requirement of General Covariance for the
Equations Expressing General Laws of Nature
p. 5: Why does Einsteins theory of gravitation require non-Euclidean
geometry? 47
p. 6: What is the role of coordinates in the new theory of gravitation? 49
p. 7; What is the meaning of general covariance? 51
§4. Vie Relation of the Four Coordinates to Measurement in Space and Time
p. 8: What is the geometry of spacetime? 53
p. 9: When did Einstein realize that gravitation has to be described by a
complex mathematical expression? 55
B. Mathematical Aids to the Formulation of Generally Covariant Equations
§5. Contravariant and Covariant Four-vectors
p. 10: Why tensors, vectors, scalars? 57
U
Vlil
CONTENTS
p. 11: When did Einstein realize that he needed more sophisticated
mathematical methods? 59
§6. Tensors of the Second and Higher Ranks
p. 12: What lessons could be learned from the theory of
electromagnetism? 61
§7. Multiplication of Tensors
p. 13: How can tensors be manipulated to produce new tensors by different
tensor operations? 63
p. 13: What were Einsteins heuristic guidelines in his search for a
relativistic theory of gravitation? 63
p. 14: What was Einsteins strategy in constructing a gravitational field
equation? 65
§8. Some Aspects of the Fundamental Tensor g^v
p. 15: Why is the metric tensor so fundamental? 67
p. 16: Why is the Zurich Notebook a unique document in the history of
physics? 69
p. 16: How are volumes measured in curved spacetime? 69
p. 17: How can a convenient choice of coordinates simplify the theory? 71
p. 17: What is the difference between a coordinate condition and a
coordinate restriction? 71
§9. The Equation of the Geodetic Line. The Motion of a Particle
p. 18: What is the meaning of a “straight line” in curved space, and how
does a particle move under the influence of gravitation? 73
p. 19: What is the geometric and physical meaning of “Christoffel
symbols”? 75
p. 19: What was Einsteins “fatal prejudice” in the early identification of the
gravitational field components? 75
§10. The Formation of Tensors by Differentiation
p. 20: The geodetic line as the “straightest” possible line and its relation to
the concept of “affine connection” 77
p. 21: How do tensors change between neighboring points, or how can one
produce new tensors from given tensors by differentiation? 79
p. 22: What is the geometric context of Einsteins mathematical formulation
of general relativity? 81
§11. Some Cases of Special Importance
p. 23: The Entwurf theory as an intermediate step toward the general
theory of relativity 83
p. 24: What is the divergence of a vector field? What are other vector field
concepts? 85
p. 25: What is the mathematical formulation of energy-momentum
conservation in general relativity? 87
§12. The Riemann-Christoffel Tensor
p. 26: What is the geometric meaning of the Riemann-Christoffel
tensor? 89
p. 27: What was the “presumed gravitational tensor” and why was it
abandoned? 91
CONTENTS
IX
C. Theory of the Gravitational Field
§13. Equations of Motion of a Material Point in the Gravitational Field.
Expression for the Field-components of Gravitation
p. 28: When did Einstein lose faith in the Entwurf theory? 93
p. 28: How does a particle move in a gravitational field? 93
§14. The Field Equations of Gravitation in the Absence of Matter
p. 29: What was Einsteins greatest challenge? 95
§15. The Hamiltonian Function for the Gravitational Field. Laws of Momentum
and Energy
p. 30: What is the Lagrangian formalism, and what was its role in the
genesis of general relativity? 97
p. 31: What happens to the energy-momentum conservation principle in
the absence of matter, or can the gravitational field be a source of
itself? 99
p. 31: Who was Einsteins main competitor? 99
p. 32: How can the field equation without matter be generalized to include
matter? 101
§16. The General Form of the Field Equations of Gravitation
p. 33: The gravitational field equation—at last! 103
§17. The Laws of Conservation in the General Case
p. 34: How is the conservation principle satisfied in a way that Einstein did
not expect in the early stages of development of his theory? 105
§18. The Laws of Momentum and Energy for Matter as a Consequence of the
Field Equations
p. 35: Do physical conservation laws follow from symmetries in nature? 107
D. Material Phenomena
§19. Eulers Equations for a Frictionless Adiabatic Fluid
p. 36: How do established theories in physics, like hydrodynamics and
electromagnetism, fit into the new theory of gravitation? 109
§20. Maxwells Electromagnetic Field Equations for Free Space
p. 37: How did Maxwell represent the laws of electromagnetism by
mathematical equations and how are these equations affected by
gravitation? Ill
p. 38: What was the role of “ether” in prerelativity physics, and
why did Einstein eventually think that space without ether is
unthinkable? 113
p. 39: What was von Laues crucial role? 115
E.
§21. Newtons Theory as a First Approximation
p. 40: How can the validity of the theory be tested experimentally? 117
p. 40a: What did Einstein wish to clarify and emphasize as an
afterthought? 119
p. 41: What does the metric tensor look like in the Newtonian limit? 121
p. 41: Why was Einstein pleasantly surprised? 121
p. 42: How could astronomers help confirm certain predictions of the
theory? 123
x
CONTENTS
§22. Behavior of Rods and Clocks in the Static Gravitational Field. Bending of
Light-rays. Motion of the Perihelion of a Planetary Orbit
p. 43: What is the length of rods and the pace of clocks in a gravitational
field? 125
p. 43: Is there a “viable” alternative theory to general relativity? 125
p. 44: What observation catapulted Einstein to world celebrity status? 127
p. 45: Explanation of the motion of perihelion of planet Mercury: From
disappointment to triumph 129
Appendix: Presentation of the Theory on the Basis of a Variational Principle
§1. The Field Equations of Gravitation and Matter
p. Al: Why did Einstein decide not to include this “Appendix” in
the printed version of the manuscript “Foundation of General
Relativity”? 131
p. Al: Einstein applies a Hamiltonian (Lagrangian) formulation—different
from Hilberts and different from his own previous one 131
p. A2: Why did Einstein decide to publish a modified version of this
appendix after all? What were the roles of Lorentz and Hilbert? 133
§2. Formal Consequences of the Requirement of General Covariance
p. A3: Is the conservation principle satisfied without any restrictions? 135
§3. Properties of Hamilton's Function G
p. A3: 1916: A year of hard work and new beginnings 135
p. A4: Einstein acts as a missionary of science 137
p. A5: Scientific creativity in the midst of personal hardships and national
disaster 139
Notes on the Annotation Pages 141
Postscript: The Drama Continues . 149
A Chronology of the Genesis of General Relativity and Its Formative Years 159
Physicists, Mathematicians, and Philosophers Relevant to Einsteins Thinking 165
Further Reading 179
English Translation of “The Foundation of the General Theory of Relativity” 183
English Translation of “Hamilton's Principle and the General Theory of Relativity" 227
Index 233 |
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| spelling | Gutfreund, Hanoch aut The road to relativity the history and meaning of Einstein's "The foundation of general relativity" featuring the original manuscript of Einstein's masterpiece Hanoch Gutfreund & Jürgen Renn Princeton, NJ ; Oxford Princeton University Press 2015 XVIII, 237 Seiten Illustrationen, Faksimiles 26 cm txt rdacontent n rdamedia nc rdacarrier Einstein, Albert 1879-1955 (DE-588)118529579 gnd rswk-swf Geschichte gnd rswk-swf Geschichte 1916 gnd rswk-swf Interpretation (DE-588)4072905-9 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf 1\p (DE-588)4135952-5 Quelle gnd-content Einstein, Albert 1879-1955 (DE-588)118529579 p Allgemeine Relativitätstheorie (DE-588)4112491-1 s Geschichte z DE-604 Interpretation (DE-588)4072905-9 s Geschichte 1916 z Renn, Jürgen 1956- (DE-588)121180719 aut Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028013840&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028013840&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gutfreund, Hanoch Renn, Jürgen 1956- The road to relativity the history and meaning of Einstein's "The foundation of general relativity" featuring the original manuscript of Einstein's masterpiece Einstein, Albert 1879-1955 (DE-588)118529579 gnd Interpretation (DE-588)4072905-9 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
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| title | The road to relativity the history and meaning of Einstein's "The foundation of general relativity" featuring the original manuscript of Einstein's masterpiece |
| title_auth | The road to relativity the history and meaning of Einstein's "The foundation of general relativity" featuring the original manuscript of Einstein's masterpiece |
| title_exact_search | The road to relativity the history and meaning of Einstein's "The foundation of general relativity" featuring the original manuscript of Einstein's masterpiece |
| title_full | The road to relativity the history and meaning of Einstein's "The foundation of general relativity" featuring the original manuscript of Einstein's masterpiece Hanoch Gutfreund & Jürgen Renn |
| title_fullStr | The road to relativity the history and meaning of Einstein's "The foundation of general relativity" featuring the original manuscript of Einstein's masterpiece Hanoch Gutfreund & Jürgen Renn |
| title_full_unstemmed | The road to relativity the history and meaning of Einstein's "The foundation of general relativity" featuring the original manuscript of Einstein's masterpiece Hanoch Gutfreund & Jürgen Renn |
| title_short | The road to relativity |
| title_sort | the road to relativity the history and meaning of einstein s the foundation of general relativity featuring the original manuscript of einstein s masterpiece |
| title_sub | the history and meaning of Einstein's "The foundation of general relativity" featuring the original manuscript of Einstein's masterpiece |
| topic | Einstein, Albert 1879-1955 (DE-588)118529579 gnd Interpretation (DE-588)4072905-9 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| topic_facet | Einstein, Albert 1879-1955 Interpretation Allgemeine Relativitätstheorie Quelle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028013840&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028013840&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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