Piotr T. Chrusciel's Books

Geometry of Black Holes

By: Piotr T. Chruściel

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Black holes present one of the most fascinating predictions of Einstein's general theory of relativity. There is strong evidence of their existence through observation of active galactic nuclei, including the centre of our galaxy, observations of gravitational waves, and others. There exists a large scientific literature on black holes, including many excellent textbooks at various levels. However, most of these steer clear from the mathematical niceties needed to make the theory of black holes a mathematical theory. Those which maintain a high mathematical standard are either focused on specific topics, or skip many details. The objective of this book is to fill this gap and present a detailed, mathematically oriented, extended introduction to the subject. The book provides a wide background to the current research on all mathematical aspects of the geometry of black hole spacetimes.

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Page Count

400

Publisher

Oxford University Press

Published Date

ISBN 10

019259754X

ISBN 13

9780192597540

The Einstein Equations and the Large Scale Behavior of Gravitational Fields

50 Years Of The Cauchy Problem In General Relativity

By: Piotr T. Chruściel,Helmut Felix Friedrich

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The Einstein Equations and the Large Scale Behavior of Gravitational Fields

50 Years Of The Cauchy Problem In General Relativity

By: Piotr T. Chruściel,Helmut Felix Friedrich

Accompanying DVD-ROM contains the electronic proceedings of the summer school on mathematical general relativity and global properties of solutions of Einstein's equations held at Cargèse, Corsica, France, July 20-Aug. 10, 2002.

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Page Count

500

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764371307

ISBN 13

9783764371302

Elements of General Relativity

By: Piotr T. Chruściel

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Elements of General Relativity

By: Piotr T. Chruściel

This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.

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Page Count

285

Publisher

Springer Nature

Published Date

ISBN 10

3030284166

ISBN 13

9783030284169

Hamiltonian Field Theory in the Radiating Regime

By: Piotr T. Chrusciel,Jacek Jezierski,Jerzy Kijowski

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Hamiltonian Field Theory in the Radiating Regime

By: Piotr T. Chrusciel,Jacek Jezierski,Jerzy Kijowski

The purpose of this monograph is to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew. They start by reviewing some elementary facts concerning Hamiltonian dynamical systems and then describe the geometric Hamiltonian framework, adequate for both the usual asymptotically-flat-at-spatial-infinity regime and for the radiation regime. The text then gives a detailed description of the application of the new formalism to the case of the massless scalar field. Finally, the formalism is applied to the case of Einstein gravity. The Hamiltonian role of the Trautman--Bondi mass is exhibited. A Hamiltonian definition of angular momentum at null infinity is derived and analysed.

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Page Count

174

Publisher

Springer Science & Business Media

Published Date

ISBN 10

354045604X

ISBN 13

9783540456049

Geometry of Black Holes

By: Piotr T. Chruściel

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Geometry of Black Holes

By: Piotr T. Chruściel

Black holes present one of the most fascinating predictions of Einstein's general relativity, with strong evidence of their existence through observations of many means. The book provides a wide background to the current research on all mathematical aspects of the geometry of black hole spacetimes.

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Page Count

404

Publisher

Oxford University Press, USA

Published Date

ISBN 10

0198855419

ISBN 13

9780198855415

Elements of General Relativity

By: Piotr T. Chruściel

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Elements of General Relativity

By: Piotr T. Chruściel

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Page Count

283

Publisher

Birkhäuser

Published Date

ISBN 10

3030284158

ISBN 13

9783030284152

Book's by Piotr T. Chrusciel

Geometry of Black Holes

Geometry of Black Holes

The Einstein Equations and the Large Scale Behavior of Gravitational Fields

The Einstein Equations and the Large Scale Behavior of Gravitational Fields

Elements of General Relativity

Elements of General Relativity

Hamiltonian Field Theory in the Radiating Regime

Hamiltonian Field Theory in the Radiating Regime

Geometry of Black Holes

Geometry of Black Holes

Elements of General Relativity

Elements of General Relativity

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