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Spacetime, Geometry and Gravitation [electronic resource] /by Pankaj Sharan.

by Sharan, Pankaj [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Progress in Mathematical Physics: 56Publisher: Basel : Birkhäuser Basel, 2009.Description: xiv, 355 p online resource.ISBN: 9783764399719.Subject(s): Physics | Geometry | Physics | Classical and Quantum Gravitation, Relativity Theory | Geometry | Physics, generalDDC classification: 530.1 Online resources: Click here to access online
Contents:
Spacetime -- What is Curvature? -- General Relativity Basics -- Spherically Symmetric Gravitational Field -- Geometry -- Vectors and Tensors -- Inner Product -- Elementary Differential Geometry -- Connection and Curvature -- Riemannian Geometry -- Additional Topics in Geometry -- Gravitation -- The Einstein Equation -- General Features of Spacetime -- Weak Gravitational Fields -- Schwarzschild and Kerr Solutions -- Cosmology -- Special Topics.
In: Springer eBooksSummary: This introductory textbook on the general theory of relativity presents a solid foundation for those who want to learn about relativity. The subject is presented in a physically intuitive, but mathematically rigorous style. The topic of relativity is covered in a broad and deep manner. Besides, the aim is that after reading the book a student should not feel discouraged when she opens advanced texts on general relativity for further reading. The book consists of three parts: An introduction to the general theory of relativity. Geometrical mathematical background material. Topics that include the action principle, weak gravitational fields and gravitational waves, Schwarzschild and Kerr solution, and the Friedman equation in cosmology. The book is suitable for advanced graduates and graduates, but also for established researchers wishing to be educated about the field.
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Spacetime -- What is Curvature? -- General Relativity Basics -- Spherically Symmetric Gravitational Field -- Geometry -- Vectors and Tensors -- Inner Product -- Elementary Differential Geometry -- Connection and Curvature -- Riemannian Geometry -- Additional Topics in Geometry -- Gravitation -- The Einstein Equation -- General Features of Spacetime -- Weak Gravitational Fields -- Schwarzschild and Kerr Solutions -- Cosmology -- Special Topics.

This introductory textbook on the general theory of relativity presents a solid foundation for those who want to learn about relativity. The subject is presented in a physically intuitive, but mathematically rigorous style. The topic of relativity is covered in a broad and deep manner. Besides, the aim is that after reading the book a student should not feel discouraged when she opens advanced texts on general relativity for further reading. The book consists of three parts: An introduction to the general theory of relativity. Geometrical mathematical background material. Topics that include the action principle, weak gravitational fields and gravitational waves, Schwarzschild and Kerr solution, and the Friedman equation in cosmology. The book is suitable for advanced graduates and graduates, but also for established researchers wishing to be educated about the field.

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