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Author: Shintaro Sawayama
Publisher: Shintaro Sawayama
ISBN: 4907170033
Category : Science
Languages : en
Pages : 58
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Book Description
We consider how the mass of the black hole decreases by the Hawking radiation in the Vaidya spacetime, using the concept of dynamical horizon equation, proposed by Ashtekar and Krishnan. Using the formula for the change of the dynamical horizon, we derive an equation for the mass incorporating the Hawking radiation. It is shown that the final state is the Minkowski spacetime in our particular model. We finally solved the equation which describes how black hole mass decreases. The back-reaction problem of the Hawking radiation has not been solved by the conventional method by solving the Einstein equation. While we can solve this problem using the following three ideas. First idea is to use the dynamical horizon equation which only needs information of the horizon surface. Then we calculate usual field equation as the integration equation. Second we taken negative energy into account near the black hole horizon. Using the negative energy we can enlarge the dynamical horizon to the timelike case. Third, we use the Vaidya metric. Usually the Einstein equation and the dynamical horizon equation are not compatible. However, using the Vaidya metric as a background we can use the dynamical horizon equation in place of the Einstein equation.
Author: Shintaro Sawayama
Publisher: Shintaro Sawayama
ISBN: 4907170033
Category : Science
Languages : en
Pages : 58
Get Book Here
Book Description
We consider how the mass of the black hole decreases by the Hawking radiation in the Vaidya spacetime, using the concept of dynamical horizon equation, proposed by Ashtekar and Krishnan. Using the formula for the change of the dynamical horizon, we derive an equation for the mass incorporating the Hawking radiation. It is shown that the final state is the Minkowski spacetime in our particular model. We finally solved the equation which describes how black hole mass decreases. The back-reaction problem of the Hawking radiation has not been solved by the conventional method by solving the Einstein equation. While we can solve this problem using the following three ideas. First idea is to use the dynamical horizon equation which only needs information of the horizon surface. Then we calculate usual field equation as the integration equation. Second we taken negative energy into account near the black hole horizon. Using the negative energy we can enlarge the dynamical horizon to the timelike case. Third, we use the Vaidya metric. Usually the Einstein equation and the dynamical horizon equation are not compatible. However, using the Vaidya metric as a background we can use the dynamical horizon equation in place of the Einstein equation.
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.
Author: Hawking, Stephen W. Hawking
Publisher:
ISBN: 9780521138017
Category : Black holes (Astronomy)
Languages : ja
Pages : 1064
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Book Description
Author: Xavier Calmet
Publisher: Springer
ISBN: 3319108522
Category : Science
Languages : en
Pages : 322
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Book Description
Beginning with an overview of the theory of black holes by the editor, this book presents a collection of ten chapters by leading physicists dealing with the variety of quantum mechanical and quantum gravitational effects pertinent to black holes. The contributions address topics such as Hawking radiation, the thermodynamics of black holes, the information paradox and firewalls, Monsters, primordial black holes, self-gravitating Bose-Einstein condensates, the formation of small black holes in high energetic collisions of particles, minimal length effects in black holes and small black holes at the Large Hadron Collider. Viewed as a whole the collection provides stimulating reading for researchers and graduate students seeking a summary of the quantum features of black holes.
Author: Alessandro Fabbri
Publisher: World Scientific
ISBN: 1860945279
Category : Science
Languages : en
Pages : 350
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Book Description
The scope of this book is two-fold: the first part gives a fully detailed and pedagogical presentation of the Hawking effect and its physical implications, and the second discusses the backreaction problem, especially in connection with exactly solvable semiclassical models that describe analytically the black hole evaporation process.The book aims to establish a link between the general relativistic viewpoint on black hole evaporation and the new CFT-type approaches to the subject. The detailed discussion on backreaction effects is also extremely valuable.
Author: Mario Novello
Publisher: World Scientific
ISBN: 9814489603
Category : Science
Languages : en
Pages : 415
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Book Description
Physicists are pondering on the possibility of simulating black holes in the laboratory by means of various “analog models”. These analog models, typically based on condensed matter physics, can be used to help us understand general relativity (Einstein's gravity); conversely, abstract techniques developed in general relativity can sometimes be used to help us understand certain aspects of condensed matter physics. This book contains 13 chapters — written by experts in general relativity, particle physics, and condensed matter physics — that explore various aspects of this two-way traffic.
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.
Author: Lars Brink
Publisher: World Scientific
ISBN: 9811203970
Category : Science
Languages : en
Pages : 393
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Book Description
Jacob Bekenstein, an Israeli physicist of the Hebrew University, Jerusalem, planted the seeds of a revolution of our understanding of space-time. Using conservative intuitive methods including time-old gedanken experiments, he discovered that black holes have thermodynamical properties such as entropy.Moreover, he found that their entropy was not extensive, unlike that of any other thermodynamical system considered before, but rather is proportional to the surface of their horizon. Furthermore, Bekenstein pioneered the study of black holes by focusing on their information content aspects. This led him to obtain bounds of a holographic nature on the amount of information that can be stored in a given region of space-time.This book contains a series of scientific and personal contributions by his contemporaries who recall the struggle against his ideas and then with them: the fate accompanying many revolutionary ideas. This is followed by original scientific contributions by many of the leaders of current research on black hole physics and holography. They have trodden his path and expanded it. The impact of Jacob Bekenstein's visionary ideas is just starting to be understood.
Author: V. Frolov
Publisher: Springer Science & Business Media
ISBN: 9401151393
Category : Science
Languages : en
Pages : 786
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Book Description
It is not an exaggeration to say that one of the most exciting predictions of Einstein's theory of gravitation is that there may exist "black holes": putative objects whose gravitational fields are so strong that no physical bodies or signals can break free of their pull and escape. The proof that black holes do exist, and an analysis of their properties, would have a significance going far beyond astrophysics. Indeed, what is involved is not just the discovery of yet another even if extremely remarkable, astro physical object, but a test of the correctness of our understanding of the properties of space and time in extremely strong gravitational fields. Theoretical research into the properties of black holes, and into the possible corol laries of the hypothesis that they exist, has been carried out with special vigor since the beginning of the 1970's. In addition to those specific features of black holes that are important for the interpretation of their possible astrophysical manifestations, the theory has revealed a number of unexpected characteristics of physical interactions involving black holes. By the middle of the 1980's a fairly detailed understanding had been achieved of the properties of the black holes, their possible astrophysical manifestations, and the specifics of the various physical processes involved. Even though a completely reliable detection of a black hole had not yet been made at that time, several objects among those scrutinized by astrophysicists were considered as strong candidates to be confirmed as being black holes.
Author: Jose Navarro-salas
Publisher: World Scientific
ISBN: 1783260386
Category : Science
Languages : en
Pages : 350
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Book Description
The scope of this book is two-fold: the first part gives a fully detailed and pedagogical presentation of the Hawking effect and its physical implications, and the second discusses the backreaction problem, especially in connection with exactly solvable semiclassical models that describe analytically the black hole evaporation process.The book aims to establish a link between the general relativistic viewpoint on black hole evaporation and the new CFT-type approaches to the subject. The detailed discussion on backreaction effects is also extremely valuable./a
