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El. knyga: General Relativity: The Essentials

4.20/5 (71 ratings by Goodreads)
(Université d'Aix-Marseille)
  • Formatas: PDF+DRM
  • Išleidimo metai: 09-Sep-2021
  • Leidėjas: Cambridge University Press
  • Kalba: eng
  • ISBN-13: 9781009033183
  • Formatas: PDF+DRM
  • Išleidimo metai: 09-Sep-2021
  • Leidėjas: Cambridge University Press
  • Kalba: eng
  • ISBN-13: 9781009033183

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In this short book, renowned theoretical physicist and author Carlo Rovelli gives a straightforward introduction to Einstein's General Relativity, our current theory of gravitation. Focusing on conceptual clarity, he derives all the basic results in the simplest way, taking care to explain the physical, philosophical and mathematical ideas at the heart of “the most beautiful of all scientific theories”. Some of the main applications of General Relativity are also explored, for example, black holes, gravitational waves and cosmology, and the book concludes with a brief introduction to quantum gravity. Written by an author well known for the clarity of his presentation of scientific ideas, this concise book will appeal to university students looking to improve their understanding of the principal concepts, as well as science-literate readers who are curious about the real theory of General Relativity, at a level beyond a popular science treatment.

Renowned physicist and author Carlo Rovelli gives a straightforward introduction to General Relativity, our current theory of gravitation. Focusing on conceptual clarity, he derives all the basic results in the simplest way, explaining the central physical, philosophical and mathematical ideas for readers going beyond a popular science level.

Recenzijos

'General relativity is the most beautiful physical theory we have, and plays an increasingly central role in modern physics. Carlo Rovelli's introduction is both concise and comprehensive, written by a master of exposition as well as of the material. I envy anyone encountering these ideas for the first time.' Sean M. Carroll, Caltech; author of Spacetime and Geometry 'This book addresses general relativity at a more sophisticated level than in a popular-level account, emphasizing conceptual understanding and results over the mathematical details of a standard textbook. Most impressive is the author's ability to distil important concepts into pithy statements illustrating deep physical insight. Rovelli's concise book provides a solid grounding in the conceptual framework of general relativity as a starting point.' Mike Guidry, University of Tennessee, Knoxville; author of Modern General Relativity 'The book is interesting, well written, and fills an otherwise vacant niche. Recommended.' Phillip Helbig, The Observatory 'Rovelli is a well-published author of popular and advanced physics books, primarily in loop quantum gravity. His latest effort is an introduction to Einstein's general relativity, written with precision in the concise style for which he is acclaimed Recommended.' J. F. Burkhart, Choice Connect 'The book brims with surprising physical intuitions but also presents many technical, mathematical topics in their simplest possible form and then builds on them It should be essential to those who want to understand where general relativity comes from and its conceptual core. It will also help serious students prepare for more mathematically difficult literature Rovelli's excitement about doing research at the edge of what is known is palpable. It provides students with a rare look into researchers' ideas as they create them.' Hal M. Haggard, Physics Today

Daugiau informacijos

A straightforward introduction to General Relativity, explaining the physical, philosophical and mathematical ideas it is built on.
Preface ix
PART I BASES
What Is General Relativity?
1(2)
1 Physics: A Field Theory for Gravity
3(8)
1.1 Special Relativity
3(4)
1.2 Fields
7(4)
2 Philosophy: What Are Space and Time?
11(9)
2.1 Relative versus Newtonian Space and Time
11(3)
2.2 Einstein's Idea: Newtonian Space and Time Are a Physical Field
14(1)
2.3 Einstein's Hint: Acceleration with Respect to What?
15(5)
3 Mathematics: Curved Spaces
20(43)
3.1 Curved Surfaces
20(15)
3.2 Riemannian Geometry
35(19)
3.3 Geometry
54(9)
PART II THE THEORY
4 Basic Equations
63(6)
4.1 Gravitational Field
63(1)
4.2 Effects of Gravity
64(2)
4.3 Field Equations
66(1)
4.4 Source in the Field Equation
67(1)
4.5 Vacuum Equations
68(1)
5 Action
69(3)
6 Symmetries and Interpretation
72(9)
6.1 Time and Energy
75(6)
PART III APPLICATIONS
7 Newtonian Limit
81(7)
7.1 The Metric in the Newtonian Limit
81(1)
7.2 Newton's Force
82(1)
7.3 General Relativistic Time Dilatation
83(5)
8 Gravitational Waves
88(12)
8.1 Effect on Matter
92(3)
8.2 Production and Detection
95(5)
9 Cosmology
100(11)
9.1 The Large-Scale Geometry of the Universe
103(4)
9.2 Basic Cosmological Models
107(4)
10 The Field of a Mass
111(17)
10.1 Schwarzschild Metric
111(2)
10.2 The Kepler Problem
113(6)
10.3 Deflection of Light by the Sun
119(3)
10.4 Near Horizon Orbits
122(3)
10.5 Cosmological Force
125(1)
10.6 Kerr-Newman Metric and Frame Dragging
125(3)
11 Black Holes
128(19)
11.1 At the Horizon
129(6)
11.2 Inside the Black Hole
135(2)
11.3 White Holes
137(10)
12 Elements of Quantum Gravity
147(17)
12.1 Empirical and Theoretical Basis of Quantum Gravity
148(2)
12.2 Discreteness: Quanta of Space
150(5)
12.3 Superposition of Geometries
155(4)
12.4 Transitions: Black-to-White-Hole Tunnelling and Big Bounce
159(3)
12.5 Conclusion: The Disappearance of Spacetime
162(2)
Further Reading 164(4)
Index 168
Carlo Rovelli is Director of the Quantum Gravity group at the Centre de Physique Théorique of Aix-Marseille University; he also holds positions at the University of Western Ontario and the Perimeter Institute in Canada. Among his academic contributions in theoretical physics, he is best known as one of the formulators of Loop Quantum Gravity. He has written two monographs for Cambridge University Press, Quantum Gravity (2004) and (with Francesca Vidotto) Covariant Loop Quantum Gravity (2014). He is also the author of several international bestsellers in popular science such as Seven Brief Lessons on Physics (2016) and The Order of Time (2019).