Lectures on General Relativity, Cosmology and Quantum Black Holes

Lectures on General Relativity, Cosmology and Quantum Black Holes PDF Author: Badis Ydri
Publisher: IOP Publishing Limited
ISBN: 9780750314763
Category : Science
Languages : en
Pages : 351

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Book Description
Whilst general relativity is not complex in its formulation, the physical interpretation of its mathematical descriptions gives rise to a range of exciting consequences in cosmology. A detailed understanding of general relativity is therefore a prerequisite for students wishing to pursue further courses or commence research projects in cosmology and its various captivating subfields including black holes and gravitational waves. This is not a book on general relativity per se and the author's treatment of this fundamental topic is concise, with the required differential geometry summarized in an appendix. Instead, the primary goal of this book is to allow students to understand in a critical way two pillars of modern theoretical physics: inflationary theory, and quantum black holes and the information-loss problem. Accordingly, the book extensively introduces black holes and cosmology before proceeding to the important issues found in inflation and the information-loss problem. Other important topics discussed in detail include the cosmological constant and its relation to dark energy and an introduction to quantum field theory on curved backgrounds. Including numerous exercise problems, the material provides a single rigorous text for advanced students in theoretical physics and mathematics requiring an introduction to the implications and interpretation of general relativity in areas of cosmology. Readers of this text will be well prepared to follow the theoretical developments in the field and undertake research projects as part of an MSc or PhD programme.

Lectures on General Relativity, Cosmology and Quantum Black Holes

Lectures on General Relativity, Cosmology and Quantum Black Holes PDF Author: Badis Ydri
Publisher: IOP Publishing Limited
ISBN: 9780750314763
Category : Science
Languages : en
Pages : 351

Get Book Here

Book Description
Whilst general relativity is not complex in its formulation, the physical interpretation of its mathematical descriptions gives rise to a range of exciting consequences in cosmology. A detailed understanding of general relativity is therefore a prerequisite for students wishing to pursue further courses or commence research projects in cosmology and its various captivating subfields including black holes and gravitational waves. This is not a book on general relativity per se and the author's treatment of this fundamental topic is concise, with the required differential geometry summarized in an appendix. Instead, the primary goal of this book is to allow students to understand in a critical way two pillars of modern theoretical physics: inflationary theory, and quantum black holes and the information-loss problem. Accordingly, the book extensively introduces black holes and cosmology before proceeding to the important issues found in inflation and the information-loss problem. Other important topics discussed in detail include the cosmological constant and its relation to dark energy and an introduction to quantum field theory on curved backgrounds. Including numerous exercise problems, the material provides a single rigorous text for advanced students in theoretical physics and mathematics requiring an introduction to the implications and interpretation of general relativity in areas of cosmology. Readers of this text will be well prepared to follow the theoretical developments in the field and undertake research projects as part of an MSc or PhD programme.

General Relativity

General Relativity PDF Author: Michael J W Hall
Publisher: Morgan & Claypool Publishers
ISBN: 1681748843
Category : Science
Languages : en
Pages : 159

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Book Description
This book is based on a set of 18 class-tested lectures delivered to fourth-year physics undergraduates at Griffith University in Brisbane, and the book presents new discoveries by the Nobel-prize winning LIGO collaboration. The author begins with a review of special relativity and tensors and then develops the basic elements of general relativity (a beautiful theory that unifies special relativity and gravitation via geometry) with applications to the gravitational deflection of light, global positioning systems, black holes, gravitational waves, and cosmology. The book provides readers with a solid understanding of the underlying physical concepts; an ability to appreciate and in many cases derive important applications of the theory; and a solid grounding for those wishing to pursue their studies further. General Relativity: An Introduction to Black Holes, Gravitational Waves, and Cosmology also connects general relativity with broader topics. There is no doubt that general relativity is an active and exciting field of physics, and this book successfully transmits that excitement to readers.

Lectures on General Relativity, Cosmology and Quantum Black Holes

Lectures on General Relativity, Cosmology and Quantum Black Holes PDF Author: B Ydri
Publisher: Myprint
ISBN: 9780750318921
Category :
Languages : en
Pages : 388

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Book Description


Canonical Gravity and Applications

Canonical Gravity and Applications PDF Author: Martin Bojowald
Publisher: Cambridge University Press
ISBN: 1139494139
Category : Science
Languages : en
Pages : 313

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Book Description
Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity. The book discusses the mathematical and geometrical notions underlying canonical tools, highlighting their applications in all aspects of gravitational research from advanced mathematical foundations to modern applications in cosmology and black hole physics. The main canonical formulations, including the Arnowitt-Deser-Misner (ADM) formalism and Ashtekar variables, are derived and discussed. Ideal for both graduate students and researchers, this book provides a link between standard introductions to general relativity and advanced expositions of black hole physics, theoretical cosmology or quantum gravity.

Special Relativity, Electrodynamics, and General Relativity

Special Relativity, Electrodynamics, and General Relativity PDF Author: John B. Kogut
Publisher: Academic Press
ISBN: 0128137215
Category : Science
Languages : en
Pages : 456

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Book Description
Special Relativity, Electrodynamics, and General Relativity: From Newton to Einstein is intended to teach students of physics, astrophysics, astronomy, and cosmology how to think about special and general relativity in a fundamental but accessible way. Designed to render any reader a "master of relativity, all material on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. - Fully revised and expanded second edition with improved figures - Enlarged discussion of dynamics and the relativistic version of Newton's second law - Resolves the twin paradox from the principles of special and general relativity - Includes new chapters which derive magnetism from relativity and electrostatics - Derives Maxwell's equations from Gauss' law and the principles of special relativity - Includes new chapters on differential geometry, space-time curvature, and the field equations of general relativity - Introduces black holes and gravitational waves as illustrations of the principles of general relativity and relates them to the 2015 and 2017 observational discoveries of LIGO

Spacetime and Geometry

Spacetime and Geometry PDF Author: Sean M. Carroll
Publisher: Cambridge University Press
ISBN: 1108488390
Category : Science
Languages : en
Pages : 529

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Book Description
An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.

Lectures on General Relativity and Cosmology

Lectures on General Relativity and Cosmology PDF Author: Jayant Vishnu Narlikar
Publisher: Palgrave
ISBN: 9781349039692
Category :
Languages : en
Pages : 292

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Book Description


Lectures on Quantum Gravity

Lectures on Quantum Gravity PDF Author: Andres Gomberoff
Publisher: Springer Science & Business Media
ISBN: 0387249923
Category : Science
Languages : en
Pages : 357

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Book Description
The 2002 Pan-American Advanced Studies Institute School on Quantum Gravity was held at the Centro de Estudios Cientificos (CECS),Valdivia, Chile, January 4-14, 2002. The school featured lectures by ten speakers, and was attended by nearly 70 students from over 14 countries. A primary goal was to foster interaction and communication between participants from different cultures, both in the layman’s sense of the term and in terms of approaches to quantum gravity. We hope that the links formed by students and the school will persist throughout their professional lives, continuing to promote interaction and the essential exchange of ideas that drives research forward. This volume contains improved and updated versions of the lectures given at the School. It has been prepared both as a reminder for the participants, and so that these pedagogical introductions can be made available to others who were unable to attend. We expect them to serve students of all ages well.

Three Lectures on Complexity and Black Holes

Three Lectures on Complexity and Black Holes PDF Author: Leonard Susskind
Publisher: Springer Nature
ISBN: 3030451097
Category : Science
Languages : en
Pages : 93

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Book Description
These three lectures cover a certain aspect of complexity and black holes, namely the relation to the second law of thermodynamics. The first lecture describes the meaning of quantum complexity, the analogy between entropy and complexity, and the second law of complexity. Lecture two reviews the connection between the second law of complexity and the interior of black holes. Prof. L. Susskind discusses how firewalls are related to periods of non-increasing complexity which typically only occur after an exponentially long time. The final lecture is about the thermodynamics of complexity, and “uncomplexity” as a resource for doing computational work. The author explains the remarkable power of “one clean qubit,” in both computational terms and in space-time terms. This book is intended for graduate students and researchers who want to take the first steps towards the mysteries of black holes and their complexity.

Introduction to General Relativity, Black Holes, and Cosmology

Introduction to General Relativity, Black Holes, and Cosmology PDF Author: Yvonne Choquet-Bruhat
Publisher: Oxford University Press, USA
ISBN: 0199666466
Category : Mathematics
Languages : en
Pages : 301

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Book Description
A precise yet simple introduction to the foundations and main consequences of General Relativity. The first five chapters from Choquet-Bruhat's General Relativity and the Einstein Equations (2008) have been updated with new sections and chapters on black holes, gravitational waves, singularities and more to form this textbook.