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Cover: 9780198862031 | Introducing Einstein's Relativity | A Deeper Understanding | Buch
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Introducing Einstein's Relativity
A Deeper Understanding
Taschenbuch von James Vickers (u. a.)
Sprache: Englisch

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Beschreibung
This textbook provides students with a sound mathematical introduction coupled with an understanding of the physical insights needed to explore the subject
This textbook provides students with a sound mathematical introduction coupled with an understanding of the physical insights needed to explore the subject
Über den Autor
Professor Ray d'Inverno is Emeritus Professor in General Relativity at the University of Southhampton. A pioneer in the use of computer algebra in general relativity, Professor d'Inverno developed the early system LAM (Lisp Algebraic Manipulator), which was a precursor to Sheep, the system most used to date in the study of exact solutions and their invariant classification. He also developed the 2+2 formalism for analysing the initial value problem in general relativity. The formalism has also been used to provide a possible route towards a canonical quantization programme for the theory. In addition, he worked in numerical relativity (solving Einstein's equations numerically on a computer) and with others set up the CCM (Cauchy-Characteristic Matching) approach, which is still used in this increasingly important field.

James Vickers is an Emeritus Professor of Mathematics at the University of Southampton and has published extensively on general relativity. His early research was on the structure of weak singularities in relativity and more recently he has given proofs of both the Penrose and Hawking singularity theorems for low-regularity spacetimes. These show that the singularities predicted by these theorems must be accompanied by unbounded curvature. He has also worked on the asymptotic structure of space-time and used spinors to prove the positivity of the Bondi mass.
Inhaltsverzeichnis
  • 1: The Organisation of the Book

  • A: Special Relativity

  • 2: The k-Calculus

  • 3: The Key Attributes of Special Relativity

  • 4: The Elements of Relativistic Mechanics

  • B: The Formalism of Tensors

  • 5: Tensor Algebra

  • 6: Tensor Calculus

  • 7: Integration, Variation, and Symmetry

  • C: General Relativity

  • 8: Special Relativity Revisited

  • 9: The Principles of General Relativity

  • 10: The Field equations of General Relativity

  • 11: General Relativity from a Variational Principle

  • 12: The Energy-Momentum Tensor

  • 13: The Structure of the Field Equations

  • 14: The 3+1 and 2+2 Formalisms

  • 15: The Schwarzschild sSlution

  • 16: Classical Experimental Tests of General Relativity

  • D: Black Holes

  • 17: Non-Rotating Black Holes

  • 18: Maximal Extension and Conformal Compactification

  • 19: Charged Black Holes

  • 20: Rotating Black Holes

  • E: Gravitational Waves

  • 21: Linearized Gravitational Waves and their Detection

  • 22: Exact Gravitational Waves

  • 23: Radiation from an Isolated Source

  • F: Cosmology

  • 24: Relativistic Cosmology

  • 25: The Classical Cosmological Models

  • 26: Modern Cosmology

  • Answers to Exercises

  • Selected Bibliography

  • Index

Details
Erscheinungsjahr: 2022
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780198862031
ISBN-10: 0198862032
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Vickers, James
D'Inverno, Ray
Hersteller: Oxford University Press
Maße: 246 x 188 x 31 mm
Von/Mit: James Vickers (u. a.)
Erscheinungsdatum: 07.06.2022
Gewicht: 1,338 kg
Artikel-ID: 120196729
Über den Autor
Professor Ray d'Inverno is Emeritus Professor in General Relativity at the University of Southhampton. A pioneer in the use of computer algebra in general relativity, Professor d'Inverno developed the early system LAM (Lisp Algebraic Manipulator), which was a precursor to Sheep, the system most used to date in the study of exact solutions and their invariant classification. He also developed the 2+2 formalism for analysing the initial value problem in general relativity. The formalism has also been used to provide a possible route towards a canonical quantization programme for the theory. In addition, he worked in numerical relativity (solving Einstein's equations numerically on a computer) and with others set up the CCM (Cauchy-Characteristic Matching) approach, which is still used in this increasingly important field.

James Vickers is an Emeritus Professor of Mathematics at the University of Southampton and has published extensively on general relativity. His early research was on the structure of weak singularities in relativity and more recently he has given proofs of both the Penrose and Hawking singularity theorems for low-regularity spacetimes. These show that the singularities predicted by these theorems must be accompanied by unbounded curvature. He has also worked on the asymptotic structure of space-time and used spinors to prove the positivity of the Bondi mass.
Inhaltsverzeichnis
  • 1: The Organisation of the Book

  • A: Special Relativity

  • 2: The k-Calculus

  • 3: The Key Attributes of Special Relativity

  • 4: The Elements of Relativistic Mechanics

  • B: The Formalism of Tensors

  • 5: Tensor Algebra

  • 6: Tensor Calculus

  • 7: Integration, Variation, and Symmetry

  • C: General Relativity

  • 8: Special Relativity Revisited

  • 9: The Principles of General Relativity

  • 10: The Field equations of General Relativity

  • 11: General Relativity from a Variational Principle

  • 12: The Energy-Momentum Tensor

  • 13: The Structure of the Field Equations

  • 14: The 3+1 and 2+2 Formalisms

  • 15: The Schwarzschild sSlution

  • 16: Classical Experimental Tests of General Relativity

  • D: Black Holes

  • 17: Non-Rotating Black Holes

  • 18: Maximal Extension and Conformal Compactification

  • 19: Charged Black Holes

  • 20: Rotating Black Holes

  • E: Gravitational Waves

  • 21: Linearized Gravitational Waves and their Detection

  • 22: Exact Gravitational Waves

  • 23: Radiation from an Isolated Source

  • F: Cosmology

  • 24: Relativistic Cosmology

  • 25: The Classical Cosmological Models

  • 26: Modern Cosmology

  • Answers to Exercises

  • Selected Bibliography

  • Index

Details
Erscheinungsjahr: 2022
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780198862031
ISBN-10: 0198862032
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Vickers, James
D'Inverno, Ray
Hersteller: Oxford University Press
Maße: 246 x 188 x 31 mm
Von/Mit: James Vickers (u. a.)
Erscheinungsdatum: 07.06.2022
Gewicht: 1,338 kg
Artikel-ID: 120196729
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