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Suitable for a one-semester course in general relativity for senior undergraduates or beginning graduate students, this text clarifies the mathematical aspects of Einstein's theory of relativity without sacrificing physical understanding. The text begins with an exposition of those aspects of tensor calculus and differential geometry needed for a proper treatment of the subject. The discussion then turns to the spacetime of general relativity and to geodesic motion. A brief consideration of the field equations is followed by a discussion of physics in the vicinity of massive objects, including an elementary treatment of black holes and rotating objects. The main text concludes with introductory chapters on gravitational radiation and cosmology. This new third edition has been updated to take account of fresh observational evidence and experiments. It includes new sections on the Kerr solution (in Chapter 4) and cosmological speeds of recession (in Chapter 6). A more mathematical treatment of tensors and manifolds, included in the 1st edition, but omitted in the 2nd edition, has been restored in an appendix. Also included are two additional appendixes – "Special Relativity Review" and "The Chinese Connection" - and outline solutions to all exercises and problems, making it especially suitable for private study.

Theory of relativity. Unified field theory --- Differential geometry. Global analysis --- Physics. --- Classical and Quantum Gravitation, Relativity Theory. --- Physique --- General relativity (Physics). --- General relativity (Physics) -- Problems, exercises, etc. --- General relativity (Physics) --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation. --- Gravitation --- Relativity (Physics) --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Properties

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"The bubbles were swirling all around me massaging my body ... As I luxuriated in this fantastic bubble bath, my eyes grew heavy and I drifted into a supremely blissful slumber." So begins Alfie's encounter with a remarkable and revelatory bathtub purchased from a mysterious neighbour named Al. Einstein's Enigma or Black Holes in My Bubble Bath tells the story of gravitation theory from the early historic origins to the latest developments in astrophysics, focusing on Albert Einstein's theory of general relativity and black-hole physics. Through engaging conversations and napkin-scribbled diagrams come tumbling the rudiments of relativity, spacetime and much of modern physics, narrated with high didactic and literary talent, and each embedded in casual lessons given by a worldly astrophysicist to his friend Alfie, a freelance organiser of proposals. Join the intellectual fun and exalt in the frothy ideas while vicariously taking relaxing baths in this magical bathtub. Prof. C.V. Vishveshwara is a renowned theoretical physicist, who participated in the golden age of black-hole physics, making pioneering contributions. Also an enthusiastic teacher and planetarium director, he has written several popular-level articles, scripts for planetarium shows and produced documentary movies on science. From Pre-Publication Reviews "Beautifully written and thoroughly entertaining, Vishveshwara's "Einstein's Enigma" provides an authoritative but distinctly original approach to an explanation of basics and subtleties of Einstein's general relativity and of the astrophysics of black holes. I warmly recommend it to beginner and expert alike." Prof. Roger Penrose, author of Shadows of the Mind and The Road to Reality "The main dish in this feast is a clear and sound presentation of the science underlying black holes from a distinguished scientist who has been contributing to their study since before they were named. Furthermore this science is presented in a sauce of philosophy, history, literature, gastronomy and imagination from an entertaining personality who needs several alter egos to show all the different ways he can think about his subject. Among the cartoons and drawings are the few lines of optional mathematics which are included for those who like that approach." Prof. Charles W. Misner, co-author of Gravitation by Misner, Thorne and Wheeler "The unusual format and whimsical style of "Einstein's Enigma" should not obscure the fact that this is a serious book, which aims to get across the essentials of the theory of general relativity and some related topics to a readership which is not assumed to be fluent in advanced mathematics. I believe the author, who has a long experience in presenting this kind of material to non-specialist audiences, has succeeded in the task he has set himself; the book will amply repay sustained and diligent reading by even a totally unmathematical reader." Prof. Anthony J. Leggett, Nobel Laureate in Physics, 2003.

Black holes (Astronomy) --- General relativity (Physics) --- Gravitation --- Field theory (Physics) --- Matter --- Physics --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Relativistic theory of gravitation --- Relativity theory, General --- Frozen stars --- Compact objects (Astronomy) --- Gravitational collapse --- Stars --- Properties --- Astronomy. --- Science (General). --- History. --- Popular Science in Astronomy. --- Classical and Quantum Gravitation, Relativity Theory. --- Popular Science, general. --- Astronomy, Astrophysics and Cosmology. --- History and Philosophical Foundations of Physics. --- History of Science. --- Annals --- Auxiliary sciences of history --- Gravitation. --- Popular works. --- Astrophysics. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Astronomical physics --- Astronomy --- Cosmic physics

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"Le bolle stavano turbinando tutto intorno a me e massaggiavano il mio corpo ... Mentre me la godevo in questo fantastico bagno di bolle, i miei occhi si fecero pesanti e mi lasciaii trasportare in un dormiveglia sublimamente estatico". Così inizia l’incontro di Alfie con una vasca da bagno eccezionale e rivelatrice, acquistata da un vicino misterioso di nome Al. L’Enigma di Einstein, ovvero buchi neri nel mio bagno di schiuma, racconta la storia della teoria della gravitazione, dai suoi primordi fino agli ultimi sviluppi in astrofisica, focalizzandosi sulla teoria della relatività generale di Albert Einstein e sulla fisica dei buchi neri. Tramite conversazioni avvincenti e diagrammi scarabocchiati su tovaglioli di carta, si susseguono a ruota i rudimenti della relatività, dello spazio-tempo e di molti aspetti della fisica moderna. In scenette narrate con abilità pedagogica e notevole talento letterario, il lettore s’imbatterà nelle lezioni informali che un astrofisico cosmopolita tiene al suo amico Alfie, organizzatore free lance di progetti di ricerca. Unitevi al divertimento intellettuale ed emozionatevi con le idee spumeggianti, mentre con la fantasia vi godete un rilassante bagno in questa vasca magica! Alcuni commenti sull'edizione inglese del libro: "Molto ben scritto e assolutamente divertente. L’Enigma di Einstein di Vishveshwara costituisce un approccio autorevole, e per di più spiccatamente originale, alla spiegazione delle basi e delle sottigliezze della teoria della relatività generale di Einstein e all’astrofisica dei buchi neri. Lo raccomando caldamente e in ugual modo sia a principianti che ad esperti". Prof. Roger Penrose Autore di Ombre della Mente e La Strada che Porta alla Realtà "Il piatto principale di questo banchetto è una presentazione chiara e accurata della scienza che sta alla base dei buchi neri, fatta da un eminente scienziato che ha contribuito al loro studio fin da prima che venissero chiamati così. Inoltre, la scienza è presentata con un condimento di filosofia, storia, letteratura, gastronomia ed immaginazione da parte di una personalità divertente che ha bisogno di svariati alter ego per mostrare tutte le diverse angolazioni in cui riesce a trattare questo argomento. Tra le vignette ed i disegni, ci sono alcune righe facoltative di matematica, incluse per coloro cui piace questo approccio". Prof. Charles W. Misner Co-autore di Gravitation, di Misner, Thorne, Wheeler "La struttura insolita e lo stile stravagante de L’Enigma di Einstein, non devono nascondere il fatto che si tratta di un libro serio, il cui scopo è di affrontare gli aspetti essenziali della teoria della relatività generale e di alcuni argomenti collegati, per un lettore non necessariamente competente in matematica avanzata. Ritengo che l’autore, che ha una lunga esperienza nel presentare questo tipo di materiale ad un pubblico non specialistico, sia riuscito nello scopo che si era proposto; il libro ripagherà ampiamente una lettura assidua e diligente anche da parte di un lettore poco portato per la matematica". Prof. Anthony J. Leggett Premio Nobel per la Fisica, 2003.

Black holes (Astronomy) --- General relativity (Physics) --- Gravitation --- Field theory (Physics) --- Matter --- Physics --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Relativistic theory of gravitation --- Relativity theory, General --- Frozen stars --- Compact objects (Astronomy) --- Gravitational collapse --- Stars --- Properties --- Astronomy. --- Science (General). --- History. --- Popular Science in Astronomy. --- Classical and Quantum Gravitation, Relativity Theory. --- Popular Science, general. --- Astronomy, Astrophysics and Cosmology. --- History and Philosophical Foundations of Physics. --- History of Science. --- Annals --- Auxiliary sciences of history --- Gravitation. --- Popular works. --- Astrophysics. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Astronomical physics --- Astronomy --- Cosmic physics

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In March 1905, at approximately eight week intervals, the Editor of the noted German physics journal, Annalen der Physik, received three hand-written manuscripts from a relatively unknown patent examiner in Bern, Switzerland. This patent examiner was the twenty-six year old Albert Einstein and the three papers would set the agenda for twentieth century physics. A fourth short paper was received in September 1905 and contained Einstein's derivation of the formula E=mc^2. These papers changed our lives in the twentieth century and beyond. While to a professional physicist the mathematics in these papers are quite straight forward, the ideas behind them are not. In fact, none of Einstein's contemporaries fully understood what he had done. In SECRETS OF THE OLD ONE: Einstein, 1905, renowned science writer Jeremy Bernstein makes these ideas accessible to a general reader with a limited background in mathematics. After reading this book, you will understand why 1905 is often designated as Einstein's miracle year.

Einstein, Albert. --- General relativity (Physics). --- History. --- Physicists. --- General relativity (Physics) --- Physics - General --- Atomic Physics --- Physics --- Physical Sciences & Mathematics --- History --- Physicists --- Einstein, Albert, --- Relativistic theory of gravitation --- Relativity theory, General --- Physics. --- Gravitation. --- Observations, Astronomical. --- Astronomy --- Popular works. --- History and Philosophical Foundations of Physics. --- Physics, general. --- Astronomy, Observations and Techniques. --- Classical and Quantum Gravitation, Relativity Theory. --- Popular Science, general. --- Observations. --- Physical scientists --- Gravitation --- Relativity (Physics) --- Science (General). --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Astronomy—Observations. --- Astronomical observations --- Observations, Astronomical --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Properties --- Einstein, Albert --- Aiyinsitan, Abote, --- Aĭnshtaĭn, Albert, --- Ainshutain, A, --- Ain̲sṭain̲, Ālparṭ, --- Ainsṭāina, Albarṭa, --- Ajnštajn, Albert, --- Āynishtayn, --- Aynshtayn, Albert, --- Eĭnshteĭn, Alʹbert, --- אינשטין, אלברט, --- איינשטיין --- איינשטיין, אלבערט, --- איינשטיין, אלברט --- איינשטיין, אלברט, --- Aynştayn, Elbêrt, --- Īnshtīn, --- Aynîştayn, --- Aiyinsitan, --- 愛因斯坦, --- 爱因斯坦,