[gr-qc/0304052] Developments In General Relativity: Black Hole Singularity And B An outline of the recent achievements in our understanding of the nature of the singularity inside a rotating black hole. This presentation also addresses the questions Can we see inside a black hole? and Can a falling observer cross the singularity without being crushed? http://arxiv.org/abs/gr-qc/0304052
Extractions: At the 20-th Texas Symposium on Relativistic Astrophysics there was a plenary talk devoted to the recent developments in classical Relativity. In that talk the problems of gravitational collapse, collisions of black holes, and of black holes as celestial bodies were discussed. But probably the problems of the internal structure of black holes are a real great challenge. In my talk I want to outline the recent achievements in our understanding of the nature of the singularity (and beyond!) inside a realistic rotating black hole. This presentation also addresses the following questions: Can we see what happens inside a black hole? Can a falling observer cross the singularity without being crushed? An answer to these questions is probably "yes". References and citations for this submission:
[gr-qc/9804039] Quantum Geometry And Black Holes Nonperturbative quantum general relativity provides a possible framework to analyze issues related to black hole thermodynamics from a fundamental perspective. http://arxiv.org/abs/gr-qc/9804039
Extractions: Non-perturbative quantum general relativity provides a possible framework to analyze issues related to black hole thermodynamics from a fundamental perspective. A pedagogical account of the recent developments in this area is given. The emphasis is on the conceptual and structural issues rather than technical subtleties. The article is addressed to post-graduate students and beginning researchers. References and citations for this submission:
General Relativity And Quantum Cosmology relativity Group alternative forumlations of general relativity, gravitational wave data analysis, analytical and numerical studies of isolated and binary black holes, http://xxx.lanl.gov/archive/gr-qc
Weyl One of the first people to combine general relativity with the laws of electromagnetism http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Weyl.html
Extractions: Version for printing Hermann Weyl Hilbert . He later wrote:- I resolved to study whatever this man had written. At the end of my first year I went home with the "Zahlbericht" under my arm, and during the summer vacation I worked my way through it - without any previous knowledge of elementary number theory or Galois theory. These were the happiest months of my life, whose shine, across years burdened with our common share of doubt and failure, still comforts my soul. Hilbert . After submitting his doctoral dissertation he was awarded the degree in 1908. This thesis investigated singular integral equations, looking in depth at Fourier privatdozent , a post he held until 1913. His habilitation thesis investigated the spectral theory of singular Sturm Liouville Riemann surfaces in session 1911-12 and out of this course came his first book which was published in 1913. It united analysis, geometry and
Relativity - A Myth: Albert Einstein See under keywords Special relativity, general relativity on the website http//www.physicsmyths.org.uk. Physics Myths and physics facts http://westerncanon.com/cgibin/lecture/AlbertEinsteinhall/cas/7.html
Extractions: //Required //var site = '681666'; //var mnum = '139010'; //Not Required var max_words = 3; var max_links_per_word = 4; var link_color = '0107A1'; var boxbg_color = 'FFFAEA'; var boxtitle_color = 'black'; var boxdesc_color = 'black'; var boxurl_color = 'red'; DR. ELLIOT'S NORTH AMERICAN GREAT BOOKS TOURCOMING TO A BOOK STORE NEAR YOU
Riemann Although he died before the development of general relativity, his work in nonEuclidean geometries is very important to studying a curved spacetime. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Riemann.html
Extractions: Version for printing Bernhard Riemann 's father, Friedrich Bernhard Riemann, was a Lutheran minister. Friedrich Riemann married Charlotte Ebell when he was in his middle age. Bernhard was the second of their six children, two boys and four girls. Friedrich Riemann acted as teacher to his children and he taught Bernhard until he was ten years old. At this time a teacher from a local school named Schulz assisted in Bernhard's education. In 1840 Bernhard entered directly into the third class at the Lyceum in Hannover. While at the Lyceum he lived with his grandmother but, in 1842, his grandmother died and Bernhard moved to the Johanneum Gymnasium Legendre 's book on the theory of numbers and Bernhard read the 900 page book in six days. Gauss Gauss did lecture to Riemann but he was only giving elementary courses and there is no evidence that at this time he recognised Riemann's genius. Stern, however, certainly did realise that he had a remarkable student and later described Riemann at this time saying that he:-
Flying Karamazov Brothers the Karamazovs manage to tackle Newtonian physics, special relativity, general relativity, quantum mechanics and unified field theory. BY TAMARA WIEDER http://www.fkb.com/reviews/boher2801.html
Extractions: If you, too, studied all things Swift and Shakespeare, you might not be able to fully wrap your brain around the Flying Karamazov Brothers' latest show, "L'Universe" (pronounced Looneyverse), at the Wilbur Theatre. Of course, juggling is and always has been the core of the Karamazovs' act. And there's plenty of it in "L'Universe." But here, it's all cloaked under the mantle of science: Over the course of five segments, the Karamazovs manage to tackle Newtonian physics, special relativity, general relativity, quantum mechanics and unified field theory. BY TAMARA WIEDER The Flying Karamazov Brothers' "L'Universe" at the Wilbur Theatre, Boston, through Sunday. (Full disclosure: This critic was an English major.) And if you, too, studied all things Swift and Shakespeare, you might not be able to fully wrap your brain around the Flying Karamazov Brothers' latest show, "L'Universe" (pronounced Looneyverse), at the Wilbur Theatre. But that's the beauty of this show: You don't have to get it to enjoy it.
Sitter Mathematician who studied solution to general relativity and developed DeSitter space http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Sitter.html
Extractions: Version for printing Willem De Sitter studied mathematics at Groningen and then joined the Groningen astronomical laboratory. He worked at the Cape Observatory in South Africa (1897-99) then, in 1908, de Sitter was appointed to the chair of astronomy at Leiden. From 1919 he was director of the Leiden Observatory. In 1913 de Sitter produced an argument based on observations of double star systems which proved that the velocity of light was independent of the velocity of the source. It put to rest attempts which had been made up until this time to find emission theories of light which depended on the velocity of the source but were not in conflict with experimental evidence. De Sitter corresponded with Ehrenfest in 1916, and he proposed that a four- dimensional space- time would fit in with cosmological models based on general relativity. He published a series of papers (1916-17) on the astronomical consequences of Einstein 's general theory of relativity. He found solutions to
General Relativity - Cambridge University Press general relativity An Introduction for Physicists provides a clear mathematical Clear introduction to the mathematical background to general relativity http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=0521829518
Rotating Universes And Time Traveling Thesis, Mach's principle, Einstein's general relativity, equation and diagram. http://www.ettnet.se/~egils/essay/essay.html
Extractions: References A title like 'Rotating Universes and Time Traveling' is certainly enough for some people to consider me a mad scientist or an incurable geek. Maybe they are right, I don't know. In any case, my Ph.D. thesis [1] deals with these subjects, particularly the rotation part. I believe there are some people on the Net who may be interested in this stuff. That's why I decided to write this article, largely based on my thesis, and put it online. I should mention that I left the research in 1984, and there may be some development in this area that I'm not aware of. I would be grateful if some reader could notify me in that case. The article begins with explaining what is meant by a rotating universe. Experience has shown that this is a very difficult concept. But as it is, Einstein's General Relativity theory does allow for rotating universes: There are such explicit mathematical solutions. Some of the rotating universes also turn out to have the shocking property that they allow (in theory) for traveling backwards in time, although the connection with rotation is not clear. What's a Rotating Universe?
General Relativity: Einstein: Physics An explanation YOU can understand of Einstein s general Theory of relativity. http://www.ncsu.edu/felder-public/kenny/papers/gr1.html
Extractions: This paper is a brief introduction to the ideas of Einstein's general theory of relativity, one of the cornerstones of modern physics. The development of general relativity brought about a radical change in our concepts of space and time. This paper is not a course in general relativity, but after reading it you should have at least some understanding of what the theory says, and in particular how space and time are viewed in this context. The paper is almost entirely non-mathematical, but I do assume that you are already comfortable with some Newtonian physics and at least the basic ideas of special relativity. For the latter you could start with my brother's paper: " The Day the Universe Went All Funny For readers with a stronger background in physics there is also a sequel paper (still in preparation), which goes into somewhat more detail about how the laws of general relativity are formulated. That paper assumes a working knowledge of calculus and introductory physics such as you would get in the first year or so of a university physics major. General relativity (GR) can be viewed in a number of different ways. I will start by briefly describing two of these viewpoints and how they relate to each other.
Time Travel - Fact Or Fiction? The science fiction paradigm, conservation laws, general relativity, paradoxes, tachyons and graphs. http://math.ucr.edu/home/baez/physics/Relativity/GR/time_travel.html
Extractions: Original by Jon J. Thaler. We define time travel to mean departure from a certain place and time followed (from the traveller's point of view) by arrival at the same place at an earlier (from the sedentary observer's point of view) time. Time travel paradoxes arise from the fact that departure occurs after arrival according to one observer and before arrival according to another. In the terminology of special relativity time travel implies that the timelike ordering of events is not invariant. This violates our intuitive notions of causality. However, intuition is not an infallible guide, so we must be careful. Is time travel really impossible, or is it merely another phenomenon where "impossible" means "nature is weirder than we think?" The answer is more interesting than you might think. The B-movie image of the intrepid chrononaut climbing into his time machine and watching the clock outside spin backwards while those outside the time machine watch the him revert to callow youth is, according to current theory, impossible. In current theory, the arrow of time flows in only one direction at any particular place. If this were not true, then one could not impose a 4-dimensional co-ordinate system on space-time, and many nasty consequences would result. Nevertheless, there is a scenario which is not ruled out by present knowledge. This usually requires an unusual spacetime topology (due to wormholes or strings in general relativity) which has not yet seen, but which may be possible. In this scenario the universe is well behaved in every local region; only by exploring the global properties does one discover time travel.
Hyperspace GR Hypertext The sixth Canadian Conference on general relativity and Relativistic Astrophysics was held here in general relativity and Quantum Cosmology Preprints http://www.math.unb.ca/hyperspace/
Extractions: Graduate Students The sixth Canadian Conference on General Relativity and Relativistic Astrophysics was held here in May 1995. Here we have a nifty forms-based program, GR, that searches a list of e-mail and snail mail addresses important to the GR community. The actual site is at QMW , but the software was originally developed at UBC . Our site is not a mirror site, but merely provides links to the QMW site. You will have to use the `Back' button to return to our site. You have access to the following:
Numerical Relativity Exhibitions WWW exhibits based on the NCSA relativity Group's work and on general relativity. http://jean-luc.aei-potsdam.mpg.de/Exhibits/
SpringerLink - Publication general Theory of relativityIn 1915 Einstein developed the theory of general relativity in which he In general relativity he stated that if the car were speeded up or slowed down http://www.kluweronline.com/issn/0001-7701/current
Extractions: Publication General Relativity and Gravitation Publisher: Springer Science+Business Media B.V., Formerly Kluwer Academic Publishers B.V. ISSN: 0001-7701 (Paper) 1572-9532 (Online) Subject: Mathematics Physics and Astronomy Issues in bold contain content you are entitled to view. Online First Volume 37 Number 8 / August 2005 Number 7 / July 2005 Number 6 / June 2005 Number 5 / May 2005 ... Request a sample Volume 36 Number 12 / December 2004 Number 11 / November 2004 Number 10 / October 2004 Title: HYPER Number 9 / September 2004 Number 8 / August 2004 Number 7 / July 2004 Title: Proceedings UISS-2003 Number 6 / June 2004 Number 5 / May 2004 Number 4 / April 2004 Number 3 / March 2004 Title: Fundamental Physics on the ISS Number 2 / February 2004 Number 1 / January 2004 Volume 35 Number 12 / December 2003 Number 11 / November 2003 Number 10 / October 2003 Number 9 / September 2003 ... Number 1 / January 2003 Volume 34 Number 12 / December 2002 Number 11 / November 2002 Number 10 / October 2002 Number 9 / September 2002 ... Number 1 / January 2002 Jump to volumes: Most Recent 33 to 30 29 to 29 First page
Gerard t Hooft The lecture notes Introduction to general relativity (in English) click here. These notes now also appeared as a book Introduction to general relativity, http://www.fys.ruu.nl/~thooft/
Extractions: Name: t Hooft, Gerard Postal address: Spinoza Instituut Leuvenlaan 4 Postbus 80.195 3508 TD Utrecht. Voorts verbonden aan: Institute for Theoretical Physics Universiteit Utrecht Leuvenlaan 4, 3584 CC Utrecht Tel.: +31 30 253 5928 Tel.: +31 30 253 1863 Fax: +31 30 253 5937 e-mail: g.thooft@phys.uu.nl Warning: due to severe clogging of this email postbox, I can no longer guarantee that received messages will be processed and/or answered. secretary: Wilma van Egmond, w.j.m.vanegmond@phys.uu.nl Professor Theoretical Physics Lectures: "Topics in Advanced Quantum Field Theory", AIO School Theoretical High Energy Physics, January 24 - 27, 2005, Conference Center Jonkerbosch, Nijmegen, the Netherlands. Advised reading material for these lectures: " The Conceptual Basis of Quantum Field Theory ", a chapter in Handbook of the Philosophy of Science , Elsevier, to be published. Undergraduate lecture notes: The lecture notes Introduction to General Relativity (in English) click here. These notes now also appeared as a book:
Relativity - Information Technology Services Can anyone give me a quick overview of relativity, general relativity and special relativity? What does general and special relativity prove? http://www.physicsforums.com/archive/t-45159_Relativity.html
Extractions: Special relativity can be understood as the invariance of the Lorentz interval for all observers. Special relativity suggests that as the only quantity that is invariant for all observers, the Lorentz interval deserves further study. In special relativity, distance/space, is not invariant, differently moving observers measure objects as having different lengths. Time is also not an invariant quantity, clocks moving along different paths will not agree when they meet up. Only the Lorentz interval is invariant.
SFB 382 D4 - General Relativity Front page of Daniel Weiskopf s project page (SFB 382, project D4). This project deals with the visualization of special and general relativity. http://www.tat.physik.uni-tuebingen.de/~weiskopf/gr/
General Relativity Einstein s general theory of relativity is principally concerned with the largescale effects of gravitation, unlike the special theory which is mainly http://www.neutron.anl.gov/hyper-physics/rgeneral.html
Extractions: General Theory of Relativity relativity (rèl´e-tîv¹î-tê), physical theory, introduced by Albert Einstein , that discards the concept of absolute motion and instead treats only relative motion between two systems or frames of reference. Space and time are no longer viewed as separate, independent entities but rather as forming a four-dimensional continuum called space-time Einstein's general theory of relativity is principally concerned with the large-scale effects of gravitation , unlike the special theory which is mainly applicable in small-scale systems and quantum mechanics. The general theory recognizes the equivalence of gravitational and inertial mass , and asserts that material bodies produce the curvature of the space-time continuum and that the path of a body is determined by this curvature. The theory predicts that a ray of light is deflected by a gravitational field; observations of starlight passing near the sun, first made by Arthur Eddington and colleagues during a 1919 eclipse of the sun, confirmed this. The theory also predicts a red shift of spectral lines of substances in a gravitational field, a result confirmed by observation of light from white dwarf stars. Finally, the theory also accounts for the entire observed perihelion motion of the planet Mercury, only part of which could be explained by Newtonian celestial mechanics. Reconciling the theory with quantum mechanics in a unified field theory has proven difficult. Superstring theory may be able to link quantum gravitation (the study of quantum fields in a curved space-time) with the other quantum theories.
