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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 .... -
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 .................................................... -
Card Games for Individuals
Card Games for individuals Patience The game is played using a tableau of seven columns. Running from left to right, the first column contains one card, the second contains two, the third three, etc. In each column, the top card should be face up and the rest face down. Deal by placing one card, face up, on the table in front of you then, to this card’s right, six more face down. Repeat this row by row, dealing one less card each time. As well as the face-up cards in the tableau, you’ll work with every third card in the remaining pack, one at a time. Move through the pack by taking three cards from the top and turning them over, creating a new face-up pile. When you’ve passed through the deck, turn it over and start again. In the tableau, a card from the pack may be placed on another card that is one rank higher and of an alternate colour. An eight of hearts, for example, may be placed on either a nine of spades or a nine of clubs - both black suits. Sequences of grouped cards can be moved around according to the same rules as individual cards. Whenever you free up a face-down card on a tableau column, turn it over. If a column is emptied, you can shift any card or sequence into it. If an ace comes into play, position it face up above the tableau, thus beginning a foundation. Foundations are suited and built from ace to king. -
A Brief History of the Great Clock at Westminster Palace
A Brief History of the Great Clock at Westminster Palace Its Concept, Construction, the Great Accident and Recent Refurbishment Mark R. Frank © 2008 A Brief History of the Great Clock at Westminster Palace Its Concept, Construction, the Great Accident and Recent Refurbishment Paper Outline Introduction …………………………………………………………………… 2 History of Westminster Palace………………………………………………... 2 The clock’s beginnings – competition, intrigues, and arrogance …………... 4 Conflicts, construction and completion …………………………………….. 10 Development of the gravity escapement ……………………………………. 12 Seeds of destruction ………………………………………………………….. 15 The accident, its analysis and aftermath …………………………………… 19 Recent major overhaul in 2007 ……………………………………………... 33 Appendix A …………………………………………………………………... 40 Footnotes …………………………………………………………………….. 41 1 Introduction: Big Ben is a character, a personality, the very heart of London, and the clock tower at the Houses of Parliament has become the symbol of Britain. It is the nation’s clock, instantly recognizable, and brought into Britain’s homes everyday by the BBC. It is part of the nation’s heritage and has long been established as the nation’s timepiece heralding almost every broadcast of national importance. On the morning of August 5th 1976 at 3:45 AM a catastrophe occurred to the movement of the great clock in Westminster Palace. The damage was so great that for a brief time it was considered to be beyond repair and a new way to move the hands on the four huge exterior dials was considered. How did this happen and more importantly why did this happen and how could such a disaster to one of the world’s great horological treasures be prevented from happening again? Let us first go through a brief history leading up to the creation of the clock. -
Master List of Games This Is a List of Every Game on a Fully Loaded SKG Retro Box, and Which System(S) They Appear On
Master List of Games This is a list of every game on a fully loaded SKG Retro Box, and which system(s) they appear on. Keep in mind that the same game on different systems may be vastly different in graphics and game play. In rare cases, such as Aladdin for the Sega Genesis and Super Nintendo, it may be a completely different game. System Abbreviations: • GB = Game Boy • GBC = Game Boy Color • GBA = Game Boy Advance • GG = Sega Game Gear • N64 = Nintendo 64 • NES = Nintendo Entertainment System • SMS = Sega Master System • SNES = Super Nintendo • TG16 = TurboGrafx16 1. '88 Games ( Arcade) 2. 007: Everything or Nothing (GBA) 3. 007: NightFire (GBA) 4. 007: The World Is Not Enough (N64, GBC) 5. 10 Pin Bowling (GBC) 6. 10-Yard Fight (NES) 7. 102 Dalmatians - Puppies to the Rescue (GBC) 8. 1080° Snowboarding (N64) 9. 1941: Counter Attack ( Arcade, TG16) 10. 1942 (NES, Arcade, GBC) 11. 1943: Kai (TG16) 12. 1943: The Battle of Midway (NES, Arcade) 13. 1944: The Loop Master ( Arcade) 14. 1999: Hore, Mitakotoka! Seikimatsu (NES) 15. 19XX: The War Against Destiny ( Arcade) 16. 2 on 2 Open Ice Challenge ( Arcade) 17. 2010: The Graphic Action Game (Colecovision) 18. 2020 Super Baseball ( Arcade, SNES) 19. 21-Emon (TG16) 20. 3 Choume no Tama: Tama and Friends: 3 Choume Obake Panic!! (GB) 21. 3 Count Bout ( Arcade) 22. 3 Ninjas Kick Back (SNES, Genesis, Sega CD) 23. 3-D Tic-Tac-Toe (Atari 2600) 24. 3-D Ultra Pinball: Thrillride (GBC) 25. 3-D WorldRunner (NES) 26. 3D Asteroids (Atari 7800) 27. -
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[Japan] SALA GIOCHI ARCADE 1000 Miglia
SCHEDA NEW PLATINUM PI4 EDITION La seguente lista elenca la maggior parte dei titoli emulati dalla scheda NEW PLATINUM Pi4 (20.000). - I giochi per computer (Amiga, Commodore, Pc, etc) richiedono una tastiera per computer e talvolta un mouse USB da collegare alla console (in quanto tali sistemi funzionavano con mouse e tastiera). - I giochi che richiedono spinner (es. Arkanoid), volanti (giochi di corse), pistole (es. Duck Hunt) potrebbero non essere controllabili con joystick, ma richiedono periferiche ad hoc, al momento non configurabili. - I giochi che richiedono controller analogici (Playstation, Nintendo 64, etc etc) potrebbero non essere controllabili con plance a levetta singola, ma richiedono, appunto, un joypad con analogici (venduto separatamente). - Questo elenco è relativo alla scheda NEW PLATINUM EDITION basata su Raspberry Pi4. - Gli emulatori di sistemi 3D (Playstation, Nintendo64, Dreamcast) e PC (Amiga, Commodore) sono presenti SOLO nella NEW PLATINUM Pi4 e non sulle versioni Pi3 Plus e Gold. - Gli emulatori Atomiswave, Sega Naomi (Virtua Tennis, Virtua Striker, etc.) sono presenti SOLO nelle schede Pi4. - La versione PLUS Pi3B+ emula solo 550 titoli ARCADE, generati casualmente al momento dell'acquisto e non modificabile. Ultimo aggiornamento 2 Settembre 2020 NOME GIOCO EMULATORE 005 SALA GIOCHI ARCADE 1 On 1 Government [Japan] SALA GIOCHI ARCADE 1000 Miglia: Great 1000 Miles Rally SALA GIOCHI ARCADE 10-Yard Fight SALA GIOCHI ARCADE 18 Holes Pro Golf SALA GIOCHI ARCADE 1941: Counter Attack SALA GIOCHI ARCADE 1942 SALA GIOCHI ARCADE 1943 Kai: Midway Kaisen SALA GIOCHI ARCADE 1943: The Battle of Midway [Europe] SALA GIOCHI ARCADE 1944 : The Loop Master [USA] SALA GIOCHI ARCADE 1945k III SALA GIOCHI ARCADE 19XX : The War Against Destiny [USA] SALA GIOCHI ARCADE 2 On 2 Open Ice Challenge SALA GIOCHI ARCADE 4-D Warriors SALA GIOCHI ARCADE 64th. -
Bullseye Glass Catalog
CATALOG BULLSEYE GLASS For Art and Architecture IMPOSSIBLE THINGS The best distinction between art and craft • A quilt of color onto which children have that I’ve ever heard came from artist John “stitched” their stories of plants and Torreano at a panel discussion I attended a animals (page 5) few years ago: • A 500-year-old street in Spain that “Craft is what we know; art is what we don’t suddenly disappears and then reappears know. Craft is knowledge; art is mystery.” in a gallery in Portland, Oregon (page 10) (Or something like that—John was talking • The infinite stories of seamstresses faster than I could write). preserved in cast-glass ghosts (page 25) The craft of glass involves a lifetime of • A tapestry of crystalline glass particles learning, but the stories that arise from that floating in space, as ethereal as the craft are what propel us into the unknown. shadows it casts (page 28) At Bullseye, the unknown and oftentimes • A magic carpet of millions of particles of alchemical aspects of glass continually push crushed glass with the artists footprints us into new territory: to powders, to strikers, fired into eternity (page 31) to reactive glasses, to developing methods • A gravity-defying vortex of glass finding like the vitrigraph and flow techniques. its way across the Pacific Ocean to Similarly, we're drawn to artists who captivate Emerge jurors (and land on the tell their stories in glass based on their cover of this catalog) exceptional skills, but even more on their We hope this catalog does more than point boundless imaginations. -
DOCUMENT RESUME ED 345 924 RC 018 702 TITLE Color
DOCUMENT RESUME ED 345 924 RC 018 702 TITLE Color Your Classroom VI. UniqueIdeas: A Guide to Innovative Teaching. INSTITUT:ON Mississippi Materials S ResourceCenter, Gulfport. SPONS AGENCY Department of Education, Washington,DC.; Mississippi State Dept. of Education, Jackson. PUB DATE 88 NOTE 139p.; Product of MississippiMigrant Education. For related documents, see Er 241223 and RC 018 699-703. PUB TYPE Guides - Classroom Use- Instructional Materials (For Learner) (051)-- Guides - Classroom Use - Teaching Guides (For Teacher) (052) EDRS PRICE MF01/PC06 Plus Postage. DESCRIPTORS Art Activities; *BulletinBoards; Class Activities; Curriculum .r.uides; ElementarySecondary Education; *Learning Activities; *MathematicsSkills; *Migrant Education; Oral Language;*Reading Skills ABSTRACT This curriculum guidepresents ideas for classroom use with migrant studeni. Instructional bulletin board ideas are provided for reading, oral language, and math. Ideas fordecorating window shades are illustratedfor each of the nine monthsof the school year. Examples of shades that reinforce specificskills are also presented. A section on calendars offers suggestionsfor using monthly calendars as decorations as well as learning tools. "TheBook Section" contains instructions and patterns for artactivities which motivate students in reading and creative writing. Activitiesinclude bookmaking, for example: zip-lockbag books, "shape" books, and bookmarks. The final sectionof special projectsprovides directions for screen printing, filmmaking, color-lifttransparency, -
Local Nature Reserve Management Plan 2020 – 2024
Bisley Road Cemetery, Stroud Local Nature Reserve Management Plan 2020 – 2024 Prepared for Stroud Town Council CONTENTS 1 VISION STATEMENT 2 POLICY STATEMENTS 3 GENERAL DESCRIPTION 3.1 General background information 3.1.1 Location and site boundaries Map 1 Site Location 3.1.2 Tenure Map 2 Schedule Plan 3.1.3 Management/organisational infrastructure 3.1.4 Site infrastructure 3.1.5 Map coverage 3.2 Environmental information 3.2.1 Physical 3.2.2 Biological 3.2.2.1 Habitats Map 3 Compartment Map – Old Cemetery Map 4 Compartment Map – New Cemetery 3.2.2.2 Flora 3.2.2.3 Fauna 3.3 Cultural 3.3.1 Past land use 3.3.2 Present land use 3.3.3 Past management for nature conservation 3.3.4 Present legal status 4 NATURE CONSERVATION FEATURES OF INTEREST 4.1 Identification and confirmation of conservation features 4.2 Objectives 4.2.1 Unimproved grassland 4.2.1.1 Summary description 4.2.1.2 Management objectives 4.2.1.3 Performance indicators 4.2.1.4 Conservation status 4.2.1.5 Rationale 4.2.1.6 Management projects 4.2.2 Trees and Woodland 4.2.2.1 Summary description 4.2.2.2 Management objectives 4.2.2.3 Performance indicators 4.2.2.4 Conservation status 4.2.2.5 Rationale 4.2.2.6 Management projects 4.2.3 Lichens 4.2.3.1 Summary description 4.2.3.2 Management objectives 4.2.3.3 Performance indicators 4.2.3.4 Conservation status 4.2.3.5 Rationale 4.2.3.6 Management projects 4.3 Rationale & Proposals per compartment Bisley Rd Cemetery Mgmt Plan 2020-2024 2 5 HISTORIC INTEREST 5.1 Confirmation of conservation features 5.2 Objectives 5.3 Rationale 6 STAKEHOLDERS 6.1 Evaluation 6.2 Management projects 7 ACCESS / TOURISM 7.1 Evaluation 7.2 Management objectives 8 INTERPRETATION 8.1 Evaluation 8.2 Management Projects 9 OPERATIONAL OBJECTIVES 9.1 Operational objectives 9.2 Management projects 10 WORK PLAN Appendix 1 Species List Bisley Rd Cemetery Mgmt Plan 2020-2024 3 1 VISION STATEMENT Stroud Town Council are committed to conserving Stroud Cemetery to: • Enable the people of Stroud to always have a place of peace and quiet reflection and recreation. -
SAVED by the BELL ! the RESURRECTION of the WHITECHAPEL BELL FOUNDRY a Proposal by Factum Foundation & the United Kingdom Historic Building Preservation Trust
SAVED BY THE BELL ! THE RESURRECTION OF THE WHITECHAPEL BELL FOUNDRY a proposal by Factum Foundation & The United Kingdom Historic Building Preservation Trust Prepared by Skene Catling de la Peña June 2018 Robeson House, 10a Newton Road, London W2 5LS Plaques on the wall above the old blacksmith’s shop, honouring the lives of foundry workers over the centuries. Their bells still ring out through London. A final board now reads, “Whitechapel Bell Foundry, 1570-2017”. Memorial plaques in the Bell Foundry workshop honouring former workers. Cover: Whitechapel Bell Foundry Courtyard, 2016. Photograph by John Claridge. Back Cover: Chains in the Whitechapel Bell Foundry, 2016. Photograph by John Claridge. CONTENTS Overview – Executive Summary 5 Introduction 7 1 A Brief History of the Bell Foundry in Whitechapel 9 2 The Whitechapel Bell Foundry – Summary of the Situation 11 3 The Partners: UKHBPT and Factum Foundation 12 3 . 1 The United Kingdom Historic Building Preservation Trust (UKHBPT) 12 3 . 2 Factum Foundation 13 4 A 21st Century Bell Foundry 15 4 .1 Scanning and Input Methods 19 4 . 2 Output Methods 19 4 . 3 Statements by Participating Foundrymen 21 4 . 3 . 1 Nigel Taylor of WBF – The Future of the Whitechapel Bell Foundry 21 4 . 3 . 2 . Andrew Lacey – Centre for the Study of Historical Casting Techniques 23 4 . 4 Digital Restoration 25 4 . 5 Archive for Campanology 25 4 . 6 Projects for the Whitechapel Bell Foundry 27 5 Architectural Approach 28 5 .1 Architectural Approach to the Resurrection of the Bell Foundry in Whitechapel – Introduction 28 5 . 2 Architects – Practice Profiles: 29 Skene Catling de la Peña 29 Purcell Architects 30 5 . -
Hard Patience by MELINDA CREECH
Copyright © 2016 Institute for Faith and Learning at Baylor University 67 Hard Patience BY MELINDA CREECH In one of his so-called “terrible sonnets” or “sonnets of desolation,” Gerard Manley Hopkins confronts how very hard it is to ask for patience and to see the world from God’s perspective. Yet patience draws us ever closer to God and to his “delicious kindness.” uring his Long Retreat of November-December 1881-1882, Gerard Manley Hopkins copied into his spiritual writings notebook this Deighth “Rule for the Discernment of Spirits” from the Spiritual Exercises of St. Ignatius of Loyola: “Let him who is in desolation strive to remain in patience, which is the virtue contrary to the troubles which harass him; and let him think that he will shortly be consoled, making diligent effort against the desolation.”1 Patience was to become a focus for Hopkins during the last eight years of his life, strained slowly out of the experiences of life and distilled from his attentive study of creation, other people, and spiritual writings. As Ignatius counseled, it was to be patience in the midst of desola- tion, and Hopkins knew a fair bit of desolation in his short forty-four years. Growing up in a well-to-do religiously pious Anglican family, Hopkins excelled at Highgate School, London, and attended Balliol College, Oxford, receiving highest honors in both his final exams, Greats and Moderns. He converted to Catholicism during his last year at Balliol and later he entered the Jesuit order. During these early years he struggled with conflicts he per- ceived between his identities as priest, professor, and poet. -
“Whiskey in the Jar”: History and Transformation of a Classic Irish Song Masters Thesis Presented in Partial Fulfillment Of
“Whiskey in the Jar”: History and Transformation of a Classic Irish Song Masters Thesis Presented in partial fulfillment of the requirements for the degree of Master of Arts in the Graduate School of The Ohio State University By Dana DeVlieger, B.A., M.A. Graduate Program in Music The Ohio State University 2016 Thesis Committee: Graeme M. Boone, Advisor Johanna Devaney Anna Gawboy Copyright by Dana Lauren DeVlieger 2016 Abstract “Whiskey in the Jar” is a traditional Irish song that is performed by musicians from many different musical genres. However, because there are influential recordings of the song performed in different styles, from folk to punk to metal, one begins to wonder what the role of the song’s Irish heritage is and whether or not it retains a sense of Irish identity in different iterations. The current project examines a corpus of 398 recordings of “Whiskey in the Jar” by artists from all over the world. By analyzing acoustic markers of Irishness, for example an Irish accent, as well as markers of other musical traditions, this study aims explores the different ways that the song has been performed and discusses the possible presence of an “Irish feel” on recordings that do not sound overtly Irish. ii Dedication Dedicated to my grandfather, Edward Blake, for instilling in our family a love of Irish music and a pride in our heritage iii Acknowledgments I would like to thank my advisor, Graeme Boone, for showing great and enthusiasm for this project and for offering advice and support throughout the process. I would also like to thank Johanna Devaney and Anna Gawboy for their valuable insight and ideas for future directions and ways to improve.