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Aspects of Black Hole Physics
Aspects of Black Hole Physics Andreas Vigand Pedersen The Niels Bohr Institute Academic Advisor: Niels Obers e-mail: [email protected] Abstract: This project examines some of the exact solutions to Einstein’s theory, the theory of linearized gravity, the Komar definition of mass and angular momentum in general relativity and some aspects of (four dimen- sional) black hole physics. The project assumes familiarity with the basics of general relativity and differential geometry, but is otherwise intended to be self contained. The project was written as a ”self-study project” under the supervision of Niels Obers in the summer of 2008. Contents Contents ..................................... 1 Contents ..................................... 1 Preface and acknowledgement ......................... 2 Units, conventions and notation ........................ 3 1 Stationary solutions to Einstein’s equation ............ 4 1.1 Introduction .............................. 4 1.2 The Schwarzschild solution ...................... 6 1.3 The Reissner-Nordstr¨om solution .................. 18 1.4 The Kerr solution ........................... 24 1.5 The Kerr-Newman solution ..................... 28 2 Mass, charge and angular momentum (stationary spacetimes) 30 2.1 Introduction .............................. 30 2.2 Linearized Gravity .......................... 30 2.3 The weak field approximation .................... 35 2.3.1 The effect of a mass distribution on spacetime ....... 37 2.3.2 The effect of a charged mass distribution on spacetime .. 39 2.3.3 The effect of a rotating mass distribution on spacetime .. 40 2.4 Conserved currents in general relativity ............... 43 2.4.1 Komar integrals ........................ 49 2.5 Energy conditions ........................... 53 3 Black holes ................................ 57 3.1 Introduction .............................. 57 3.2 Event horizons ............................ 57 3.2.1 The no-hair theorem and Hawking’s area theorem .... -
Humanists UK Convention Convention Ticket-Holders Are Welcome to Join Us at Any Talk Or Panel Discussion Throughout the Weekend
9–11 June 2017 Cambridge Corn Exchange 2 Wheeler Street, CB2 3QB and Cambridge Guildhall Enter on Guildhall Street YOUR TICKET Register and collect your name badge at the registration desk, outside the Small Hall in the Guildhall. Registration is open from 14:00 on Friday, 08:30 on Saturday, and 09:30 on Sunday. Humanists UK Convention Convention ticket-holders are welcome to join us at any talk or panel discussion throughout the weekend. Join us in the Guildhall for drinks from 17:30 on Friday, and our comedy evening from 19:00. Humanists UK Convention plus lunch In addition, please join us for teas, coffees, and a buffet lunch in the Guildhall, across the road from the Corn Exchange, on Saturday and Sunday. Lunch is served at midday in the Guildhall Small Hall both days. Coffee is served at 09:50 and 14:50 on Saturday, and 09:30 and 14:50 on Sunday. Humanists UK Convention plus lunch and gala dinner As well as the teas, coffees, and lunches detailed above, please join us for drinks in the Guildhall Small Hall from 19:30 on Saturday evening, for the Gala Dinner at 20:00. There is no designated dress code for the dinner; come as you feel most comfortable! FRIDAY Corn Exchange Guildhall Auditorium 14:00 Registration opens (Foyer outside small Hall) 17:30 Cash bar (Small Hall) 18:30 Doors open 19:00 Comedy show begins 19:50 Break 20:15 Comedy show resumes Cash bar (Small Hall) 21:00 featuring Shappi Khorsandi Sophie Kate Scott Devlin Kate Mister Smurthwaite Meredith SATURDAY Corn Exchange Guildhall Auditorium Large Hall 09:00 Welcome 09:10 -
Philósophos N. 2 V. 9
DOSSIÊS MODELS AND THE DYNAMICS OF THEORIES Paulo Abrantes Universidade de Brasília [email protected] Abstract: This paper gives a historical overview of the ways various trends in the philosophy of science dealt with models and their relationship with the topics of heuristics and theoretical dynamics. First of all, N. Campbell’s account of analogies as components of scientific theories is presented. Next, the notion of ‘model’ in the reconstruction of the structure of scientific theories proposed by logical empiricists is examined. This overview finishes with M. Hesse’s attempts to develop Campbell’s early ideas in terms of an analogical inference. The final part of the paper points to contemporary developments on these issues which adopt a cognitivist perspective. It is indicated how discussions in the cognitive sciences might help to flesh out some of the insights philosophers of science had concerning the role models and analogies play in actual scientific theorizing. Key words: models, analogical reasoning, metaphors in science, the structure of scientific theories, theoretical dynamics, heuristics, scientific discovery. Hesse (1976) suggests that different philosophical explications of the roles models play in science correspond to different models of science. As a matter of fact, the explication of scientific modeling became a central issue in the criticism and revision of logical empiricism in the 50’s and the 60’s. The critics of the logical empiricist explication of models pointed out that it doesn’t capture one of the roles models play in science: that of providing guidelines for the development of theories.1 PHILÓSOPHOS 9 (2) : 225-269, jul./dez. -
Legal "Black Hole"? Extraterritorial State Action and International Treaty Law on Civil and Political Rights
Michigan Journal of International Law Volume 26 Issue 3 2005 Legal "Black Hole"? Extraterritorial State Action and International Treaty Law on Civil and Political Rights Ralph Wilde University of London Follow this and additional works at: https://repository.law.umich.edu/mjil Part of the Human Rights Law Commons, Military, War, and Peace Commons, and the National Security Law Commons Recommended Citation Ralph Wilde, Legal "Black Hole"? Extraterritorial State Action and International Treaty Law on Civil and Political Rights, 26 MICH. J. INT'L L. 739 (2005). Available at: https://repository.law.umich.edu/mjil/vol26/iss3/1 This Article is brought to you for free and open access by the Michigan Journal of International Law at University of Michigan Law School Scholarship Repository. It has been accepted for inclusion in Michigan Journal of International Law by an authorized editor of University of Michigan Law School Scholarship Repository. For more information, please contact [email protected]. LEGAL "BLACK HOLE"? EXTRATERRITORIAL STATE ACTION AND INTERNATIONAL TREATY LAW ON CIVIL AND POLITICAL RIGHTSt Ralph Wilde* I. INTRODUCTION ......................................................................... 740 II. EXTRATERRITORIAL STATE ACTIVITIES ................................... 741 III. THE NEED FOR GREATER SCRUTINY ........................................ 752 A. Ignoring ExtraterritorialActivity ...................................... 753 B. GreaterRisks of Rights Violations in the ExtraterritorialContext .................................................... -
A Brief Tour Into the History of Gravity: from Emocritus to Einstein
American Journal of Space Science 1 (1): 33-45, 2013 ISSN: 1948-9927 © 2013 Science Publications doi:10.3844/ajssp.2013.33.45 Published Online 1 (1) 2013 (http://www.thescipub.com/ajss.toc) A Brief Tour into the History of Gravity: From Emocritus to Einstein Panagiotis Papaspirou and Xenophon Moussas Department of Physics, Section of Astrophysics, Astronomy and Mechanics, University of Athens, Athens, Greece ABSTRACT The History of Gravity encompasses many different versions of the idea of the Gravitational interaction, which starts already from the Presocratic Atomists, continues to the doctrines of the Platonic and Neoplatonic School and of the Aristotelian School, passes through the works of John Philoponus and John Bouridan and reaches the visions of Johannes Kepler and Galileo Galilei. Then, the major breakthrough in the Theory of Motion and the Theory of Gravity takes place within the realm of Isaac Newton’s most famous Principia and of the work of Gottfried Leibniz, continues with the contributions of the Post- newtonians, such as Leonhard Euler, reaches the epoch of its modern formulation by Ernst Mach and other Giants of Physics and Philosophy of this epoch, enriches its structure within the work of Henry Poincare and finally culminates within the work of Albert Einstein, with the formulation of the Theory of Special Relativity and of General Relativity at the begin of the 20th century. The evolution of the Theory of General Relativity still continues up to our times, is rich in forms it takes and full of ideas of theoretical strength. Many fundamental concepts of the Epistemology and the History of Physics appear in the study of the Theory of Gravity, such as the notions of Space, of Time, of Motion, of Mass, in its Inertial, Active Gravitational and Passive Gravitational form, of the Inertial system of reference, of the Force, of the Field, of the Riemannian Geometry and of the Field Equations. -
Women in Engineering Fixing the Talent Pipeline
REPORT WOMEN IN ENGINEERING FIXING THE TALENT PIPELINE Amna Silim and Cait Crosse September 2014 © IPPR 2014 Institute for Public Policy Research ABOUT IPPR IPPR, the Institute for Public Policy Research, is the UK’s leading progressive thinktank. We are an independent charitable organisation with more than 40 staff members, paid interns and visiting fellows. Our main office is in London, with IPPR North, IPPR’s dedicated thinktank for the North of England, operating out of offices in Newcastle and Manchester. The purpose of our work is to conduct and publish the results of research into and promote public education in the economic, social and political sciences, and in science and technology, including the effect of moral, social, political and scientific factors on public policy and on the living standards of all sections of the community. IPPR 4th Floor 14 Buckingham Street London WC2N 6DF T: +44 (0)20 7470 6100 E: [email protected] www.ippr.org Registered charity no. 800065 This paper was first published in September 2014. © 2014 The contents and opinions in this paper are the authors’ only. NEW IDEAS for CHANGE CONTENTS Summary ............................................................................................................1 Introduction: Why should we care about the lack of women in engineering? .....2 1. The scale of the challenge in the UK .............................................................3 2. The choices girls make in education ..............................................................5 2.1 Choices at school ............................................................................................ 5 2.2 Choices in higher education ............................................................................. 6 2.3 Choices in employment.................................................................................... 7 3. Why do girls reject the idea of a career in engineering?..............................10 3.1 Perception of STEM subjects and engineering careers .................................. -
SNSD and the Art of Bridging The
Situations Vol. 3 (Winter 2009) © 2009 by Yonsei University Mariah Junglan Min1 [email protected] The Art of Crossing the Line Although the intensive coverage provided to the new all-boy and all-girl bands through the Internet and in more traditional media such as television may make it seem as though such they have long dominated popular music, the current explosion in popularity of idol groups begun only two years ago. What is more, this is not the first time that such groups have stormed the K-pop charts. The first wave of massively popular idol groups was in the late 90s, when a veritable army of teens made their debut as singers. Korean multi-entertainment companies recognized the business potential in well-trained young and attractive stars, and the feverish reception from the public confirmed this. The result was that H.O.T., Sechs Kies, Shinhwa, Fin.K.L., S.E.S., and G.O.D. enjoyed chart success and outstanding album sales. Around 2002, this first golden age of idol groups came to an end. Most of the first wave of idols split up, while some individual members went on to pursue solo careers. Although some groups did continue, with Shinhwa performing as recently as 2008, the moment of the idol group seemed to have passed. For a short time, the K-pop scene was now host to a series of successful solo artists, such as Rain and Yi Hyo-ri, the latter a former member of the all-girl band Fin.K.L. In 2004, the first forerunners of the second wave began to appear, with TVXQ, for example, releasing their first single that year. -
The Globalization of K-Pop: the Interplay of External and Internal Forces
THE GLOBALIZATION OF K-POP: THE INTERPLAY OF EXTERNAL AND INTERNAL FORCES Master Thesis presented by Hiu Yan Kong Furtwangen University MBA WS14/16 Matriculation Number 249536 May, 2016 Sworn Statement I hereby solemnly declare on my oath that the work presented has been carried out by me alone without any form of illicit assistance. All sources used have been fully quoted. (Signature, Date) Abstract This thesis aims to provide a comprehensive and systematic analysis about the growing popularity of Korean pop music (K-pop) worldwide in recent years. On one hand, the international expansion of K-pop can be understood as a result of the strategic planning and business execution that are created and carried out by the entertainment agencies. On the other hand, external circumstances such as the rise of social media also create a wide array of opportunities for K-pop to broaden its global appeal. The research explores the ways how the interplay between external circumstances and organizational strategies has jointly contributed to the global circulation of K-pop. The research starts with providing a general descriptive overview of K-pop. Following that, quantitative methods are applied to measure and assess the international recognition and global spread of K-pop. Next, a systematic approach is used to identify and analyze factors and forces that have important influences and implications on K-pop’s globalization. The analysis is carried out based on three levels of business environment which are macro, operating, and internal level. PEST analysis is applied to identify critical macro-environmental factors including political, economic, socio-cultural, and technological. -
Newton.Indd | Sander Pinkse Boekproductie | 16-11-12 / 14:45 | Pag
omslag Newton.indd | Sander Pinkse Boekproductie | 16-11-12 / 14:45 | Pag. 1 e Dutch Republic proved ‘A new light on several to be extremely receptive to major gures involved in the groundbreaking ideas of Newton Isaac Newton (–). the reception of Newton’s Dutch scholars such as Willem work.’ and the Netherlands Jacob ’s Gravesande and Petrus Prof. Bert Theunissen, Newton the Netherlands and van Musschenbroek played a Utrecht University crucial role in the adaption and How Isaac Newton was Fashioned dissemination of Newton’s work, ‘is book provides an in the Dutch Republic not only in the Netherlands important contribution to but also in the rest of Europe. EDITED BY ERIC JORINK In the course of the eighteenth the study of the European AND AD MAAS century, Newton’s ideas (in Enlightenment with new dierent guises and interpre- insights in the circulation tations) became a veritable hype in Dutch society. In Newton of knowledge.’ and the Netherlands Newton’s Prof. Frans van Lunteren, sudden success is analyzed in Leiden University great depth and put into a new perspective. Ad Maas is curator at the Museum Boerhaave, Leiden, the Netherlands. Eric Jorink is researcher at the Huygens Institute for Netherlands History (Royal Dutch Academy of Arts and Sciences). / www.lup.nl LUP Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag. 1 Newton and the Netherlands Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag. 2 Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag. -
For Mechanics of Materials Subject (Mms)
Emirates Journal for Engineering Research, 13 (2), 73-78 (2008) (Regular Paper) ANALOGY BASED LEARNING (ABL) FOR MECHANICS OF MATERIALS SUBJECT (MMS) M. Isreb School of Applied Sciences and Engineering, Monash University Gippsland Campus Northways Road, Churchill, Victoria 3842, Australia Email: [email protected] (Received May 2008 and accepted August 2008) ﻻ يوجد دليل في المراجع واﻷبحاث المنشورة على استخدام التعليم بواسطة النمذجة للعنصر الرياضي في مادة الھندسة الميكانيكية للمواد المتشكلة (والمعروفة أيضاً في أوساط معملي الھندسة باسم ميكانيكا المواد (MMS)). ويھدف تطبيق التعليم بواسطة النمذجة المقدم في ھذه الورقة إلى محاولة تسھيل استيعاب الطﻻب لتلك المادة الصعبة. وقد تم استخدام الطريقة القياسية لنمذجة العزوم باسلوب مبتكر. وقد اختبر الباحث ھذه الطريقة لمدة عشرين عاماً في جامعة موناش باستراليا. وأثبتت الطريقة نجاحھا بغض النظر عن طريقة الطﻻب وقدرتھم على التحصيل طبقاً ﻻمكانياتھم العقلية. وتميزت الطريقة بقابلية التطوير والمرونة. There is no evidence in the literature of using Analogy based-learning (ABL) education for the mathematics components of Engineering Mechanics of Deformable Bodies subject (also known widely amongst engineering educators by the name Mechanics of Materials subject, abbreviated as MMS). The motive of using the ABL for MMS in the present paper is to attempt to make, such already difficult subject, easy one to get across to students. The method used in the paper is based on standard ABL methodology of coupling, in an innovative way, each ABL source with an ABL target of the MMS. The author has tested the new approach for two decades at Monash University, Australia. The approach has proved to bring the students potentials to its fullest regardless of their style of learning, within the eight brain sectors. -
Analogies in Physics Analysis of an Unplanned Epistemic Strategy
. Analogies in Physics Analysis of an Unplanned Epistemic Strategy Von der Philosophischen Fakultät der Gottfried Wilhelm Leibniz Universität Hannover zur Erlangung des Grades Doktors der Philosophie Dr. phil. Genehmigte Dissertation von Ing. grad. MA Gunnar Kreisel Erscheinungs- bzw. Druckjahr 2021 Referent: Prof. Dr. Mathias Frisch Korreferent: Prof. Dr. Torsten Wilholt Tag der Promotion: 26.10.2020 2 To my early died sister Uta 3 Acknowledgements I could quote only very few by name who have contributed to my work on this thesis, for discussing some of the developed ideas with me or comments on parts of my manuscript. These are in the first place my advisor Mathias Frisch and further Torsten Wilholt, who read critically individual chapters. Much more have contributed by some remarks or ideas mentioned in passing which I cannot assign to someone explicitly and therefore must be left unnamed. Also, other people not named here have supported my work in the one or other way. I think they know who were meant if they read this. A lot of thanks are due to Zoe Vercelli from the International Writing centre at Leibniz University Hannover improving my English at nearly the whole manuscript (some parts are leaved to me because of organisational changes at the writing centre). So, where the English is less correct Zoe could not have had a look on it. Of course, all errors and imprecisions remain in solely my responsibility. 4 Abstract This thesis investigates what tools are appropriate for answering the question how it is possible to develop such a complex theory in physics as the standard model of particle physics with only an access via electromagnetic interaction of otherwise unobservable objects and their interactions it was investigated what the tools are to do this. -
Inside Science
SPRING 2009 NEWS FROM THE ROYAL SOCIETY INSIDE SCIENCE YOUNG EXPLORERS TOUCHDOWN IN NEW ZEALAND International Expedition Prize is a ‘once in a lifetime experience’ SCIENCE TAKES TO THE STAGE The Royal Shakespeare Company premiers a new play on the emergence of modern science UPDATE FROM THE ROYAL SOCIETY This third issue of Inside Science contains early information DID YOU KNOW? about exciting plans for the Royal Society’s 350th Anniversary in 2010. The Anniversary is a marvellous STEADY FOOTING, opportunity to increase the profile of science, explore its SHAKY BRIDGE benefits and address the challenges it presents for society On its opening day, crowds of but perhaps most important of all to inspire young minds pedestrians experienced unexpected with the excitement of scientific discovery. swaying as they walked across London’s Our policy work continues to address major scientific issues Millennium Bridge. Whilst pedestrians affecting the UK. In December we cautioned the Government on fondly nicknamed it the ‘wobbly bridge’, the levels of separated plutonium stockpiled in the UK – currently physicists were busy exploring the the highest in the world. With support from our Plutonium Working Group, the Society has reasons for the phenomenon. submitted detailed comment to the Nuclear Decommissioning Authority (NDA) for a report to The view was widely held that the Government on management options for the stockpile. ‘wobble’ was due to crowd loading and Late last year we ran an extremely successful MP-Scientist pairing scheme, helping to build pedestrians synchronising their footsteps bridges between parliamentarians and some of the best young scientists in the UK.