Space, Time, and Gravity

The Theory of the Big Bang and Black Holes
Author: Robert M. Wald
Publisher: University of Chicago Press
ISBN: 9780226870281
Category: Science
Page: 153
View: 7421
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Writing for the general reader or student, Wald has completely revised and updated this highly regarded work to include recent developments in black hole physics and cosmology. Nature called the first edition "a very readable and accurate account of modern relativity physics for the layman within the unavoidable constraint of almost no mathematics. . . . A well written, entertaining and authoritative book."

Principios matemáticos de la filosofía natural


Author: Isaac Newton, Sir
Publisher: Alianza Editorial Sa
ISBN: 9788420651927
Category: Mathematics
Page: 786
View: 2463
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Isaac Newton (1642-1727), recogiendo las aportaciones de Kepler y Galileo, consigue por vez primera construir un modelo matemático general que permite explicar tanto el movimiento de los cuerpos celestes como el de los terrestres. Esta edición del libro que sentó las bases de la física moderna ha sido traducida, prologada y anotada por Eloy Rada.

Quantum Field Theory in Curved Spacetime

Quantized Fields and Gravity
Author: Leonard Parker,David Toms
Publisher: Cambridge University Press
ISBN: 0521877873
Category: Science
Page: 455
View: 7999
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Suitable for graduate students, this book develops quantum field theory in curved spacetime in a pedagogical style.

Gravitational Collapse and Spacetime Singularities


Author: Pankaj S. Joshi
Publisher: Cambridge University Press
ISBN: 1139468146
Category: Science
Page: N.A
View: 831
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Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics. General relativity predicts that continual gravitational collapse gives rise to a space-time singularity. Quantum gravity may take over in such regimes to resolve the classical space-time singularity. This book, first published in 2007, investigates these issues, and shows how the visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology. It includes a detailed review of research into gravitational collapse, and several examples of collapse models are investigated in detail.

Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics


Author: Robert M. Wald
Publisher: University of Chicago Press
ISBN: 9780226870274
Category: Science
Page: 205
View: 6191
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In this book, Robert Wald provides a coherent, pedagogical introduction to the formulation of quantum field theory in curved spacetime. He begins with a treatment of the ordinary one-dimensional quantum harmonic oscillator, progresses through the construction of quantum field theory in flat spacetime to possible constructions of quantum field theory in curved spacetime, and, ultimately, to an algebraic formulation of the theory. In his presentation, Wald disentangles essential features of the theory from inessential ones (such as a particle interpretation) and clarifies relationships between various approaches to the formulation of the theory. He also provides a comprehensive, up-to-date account of the Unruh effect, the Hawking effect, and some of its ramifications. In particular, the subject of black hole thermodynamics, which remains an active area of research, is treated in depth. This book will be accessible to students and researchers who have had introductory courses in general relativity and quantum field theory, and will be of interest to scientists in general relativity and related fields.

The Curvature of Spacetime

Newton, Einstein, and Gravitation
Author: Harald Fritzsch
Publisher: N.A
ISBN: 9780231118217
Category: Science
Page: 341
View: 4632
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The internationally renowned physicist Harald Fritzsch deftly explains the meaning and far-flung implications of the general theory of relativity and other mysteries of modern physics by presenting an imaginary conversation among Newton, Einstein, and a fictitious contemporary particle physicist named Adrian Haller--the same device Fritzsch employed to great acclaim in his earlier book An Equation That Changed the World, which focused on the special theory of relativity. Einstein's theory of gravitation, his general theory of relativity, touches on basic questions of our existence. Matter, according to Einstein, has no existence independent of space and time. It is even capable of bending the structure of space and changing the course of time--it introduces a "curvature." Gravity emerges not as an actual physical force but as a consequence of space-time geometry. Even the apple that drops from the tree follows the curvature of time and space. In this entertaining and involving account of relativity, Newton serves as the skeptic and asks the questions a modern reader might ask. Einstein himself does the explaining, while Haller explains the new developments that have occurred since the general theory was proposed. The result is an intellectual roller-coaster ride in which concepts that have entered the vernacular become clear for the first time: the Big Bang, "black holes," elementary particles, and much more.

El orden del tiempo


Author: Carlo Rovelli
Publisher: Anagrama
ISBN: 8433939378
Category: Literary Collections
Page: 184
View: 5837
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¿Qué es el tiempo? ¿Hasta qué punto lo entendemos? ¿Existimos en el tiempo o el tiempo existe en nosotros? ¿Por qué recordamos el pasado y no el futuro? ¿Qué quiere decir que el tiempo «corre»? ¿El pasado está cerrado y el futuro abierto? ¿El tiempo es lineal? ¿Existe de verdad?... Carlo Rovelli, físico cuyo anterior libro –Siete breves lecciones de física, publicado en esta colección– se tradujo a cuarenta idiomas y se convirtió en un sorprendente bestseller internacional, responde a estas y otras preguntas. El tiempo es un misterio no solo para los profanos, sino también para los físicos, que a lo largo de la historia han ido modificando su percepción de él: de Newton a Einstein y a la gravedad cuántica de bucles, en la que el autor es experto. Rovelli aborda el tiempo y sus enigmas con una combinación única de rigor, capacidad divulgativa y bagaje humanístico que le permite incorporar al texto la mitología hindú, el Mahābhārata y a Guillermo de Ockham, Proust, Rilke... El libro se divide en tres partes: la primera aborda lo que a día de hoy sabe la física moderna sobre el tiempo y los cambios radicales que se han producido en torno a algunos temas que se daban por cerrados; la segunda se centra en la gravedad cuántica y aborda la idea de un mundo sin tiempo, mientras que la tercera explora el nacimiento del tiempo y el modo en que lo experimentamos. El resultado es un ensayo esclarecedor y apasionante, que nos da claves –científicas, pero también filosóficas– para entender el misterio del tiempo, un tema central de la física y de nuestra relación con la vida y el universo.

General Relativity


Author: Robert M. Wald
Publisher: University of Chicago Press
ISBN: 9780226870373
Category: Science
Page: 506
View: 2702
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"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

The Nature of Space and Time


Author: Stephen Hawking,Roger Penrose
Publisher: Princeton University Press
ISBN: 9781400834747
Category: Science
Page: 160
View: 7851
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Einstein said that the most incomprehensible thing about the universe is that it is comprehensible. But was he right? Can the quantum theory of fields and Einstein's general theory of relativity, the two most accurate and successful theories in all of physics, be united into a single quantum theory of gravity? Can quantum and cosmos ever be combined? In The Nature of Space and Time, two of the world’s most famous physicists—Stephen Hawking (A Brief History of Time) and Roger Penrose (The Road to Reality)—debate these questions. The authors outline how their positions have further diverged on a number of key issues, including the spatial geometry of the universe, inflationary versus cyclic theories of the cosmos, and the black-hole information-loss paradox. Though much progress has been made, Hawking and Penrose stress that physicists still have further to go in their quest for a quantum theory of gravity.

Approaches to Quantum Gravity

Toward a New Understanding of Space, Time and Matter
Author: Daniele Oriti
Publisher: Cambridge University Press
ISBN: 0521860458
Category: Science
Page: 583
View: 1746
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Containing contributions from leading researchers in this field, this book provides a complete overview of this field from the frontiers of theoretical physics research for graduate students and researchers. It introduces the most current approaches to this problem, and reviews their main achievements.

On Gravity

A Brief Tour of a Weighty Subject
Author: A. Zee
Publisher: Princeton University Press
ISBN: 0691174385
Category: Science
Page: 192
View: 4543
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A brief introduction to gravity through Einstein’s general theory of relativity Of the four fundamental forces of nature, gravity might be the least understood and yet the one with which we are most intimate. From the months each of us spent suspended in the womb anticipating birth to the moments when we wait for sleep to transport us to other realities, we are always aware of gravity. In On Gravity, physicist A. Zee combines profound depth with incisive accessibility to take us on an original and compelling tour of Einstein's general theory of relativity. Inspired by Einstein's audacious suggestion that spacetime could ripple, Zee begins with the stunning discovery of gravity waves. He goes on to explain how gravity can be understood in comparison to other classical field theories, presents the idea of curved spacetime and the action principle, and explores cutting-edge topics, including black holes and Hawking radiation. Zee travels as far as the theory reaches, leaving us with tantalizing hints of the utterly unknown, from the intransigence of quantum gravity to the mysteries of dark matter and energy. Concise and precise, and infused with Zee's signature warmth and freshness of style, On Gravity opens a unique pathway to comprehending relativity and gaining deep insight into gravity, spacetime, and the workings of the universe.

Advances in the Interplay Between Quantum and Gravity Physics


Author: Peter G. Bergmann,V. de Sabbata
Publisher: Springer Science & Business Media
ISBN: 9781402005930
Category: Science
Page: 554
View: 5440
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In this XVII Course of the International School of Cosmology and Gravitation devoted to "ADVANCES IN THE INTERPLAY BETWEEN QUANTUM AND GRAVITY PHYSICS" we have considered different aspects of the influence of gravity on quantum systems. In order to achieve this aim, in many lectures, seminars and discussions we have strengthened the interplay between gravity and quantum systems starting from the situation in the early universe based on astrophysical observations, up to the earthly based experiments with atom interferometry for probing the structure of space-time. Thus we have had timely lectures on the quantum field and horizon of a black hole including reviews of the problem of black holes thermodynamics and entropy, quantum information, quantum black holes, quantum evaporation and Hawking radiation, recent advances in stockastic gravity. We have also discussed quantum fluctuations in inflationary universe, quantum effects and reheating after inflation, and superplanckian energies in Hawking radiation. In this regard the subject of spinors in purely affine space-time and Dirac matter according to Weyl in the generalized theory of gravitation were developed . The dualism between space-time and matter has been deeply analyzed in order to see why, for general relativity, this is an obstacle for quantization of the theory. Also canonical Gravity and Mach's principle, torsion and curvature as commutator for Quantum Gravity and Dirac Geometry of real space-time were analysed, together with the problem of 5-Dimensional Projective Unified Field theory and Multidimensional Gravity and Cosmology.

General Relativity

A Geometric Approach
Author: Malcolm Ludvigsen
Publisher: Cambridge University Press
ISBN: 9780521639767
Category: Mathematics
Page: 217
View: 6728
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Solutions and hints to selected exercises

The Geometry of Spacetime

An Introduction to Special and General Relativity
Author: James J. Callahan
Publisher: Springer Science & Business Media
ISBN: 9780387986418
Category: Computers
Page: 451
View: 4752
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Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.

Ripples in Spacetime

Einstein, Gravitational Waves, and the Future of Astronomy
Author: Govert Schilling
Publisher: Harvard University Press
ISBN: 0674971663
Category: BIOGRAPHY & AUTOBIOGRAPHY
Page: 340
View: 6215
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The detection of gravitational waves—ripples in spacetime—has already been called the scientific coup of this century. Govert Schilling recounts the struggles that threatened to derail the quest and describes the detector’s astounding precision, weaving far-reaching discoveries about the universe into a gripping story of ambition and perseverance.

Gravitation and Spacetime


Author: Hans C. Ohanian,Remo Ruffini
Publisher: Cambridge University Press
ISBN: 1107012945
Category: Science
Page: 528
View: 1770
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This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students.

La naturaleza del espacio y del tiempo


Author: Stephen Hawking,Roger Penrose
Publisher: DEBATE
ISBN: 8499921566
Category: Literary Criticism
Page: 192
View: 3445
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Un interesante y fascinante debate entre dos gigantes de la ciencia, Stephen Hawking y Roger Penrose, sobre el origen y el futuro del universo. Einstein afirmaba que lo más incomprensible acerca del universo es que es comprensible. ¿Estaba en lo cierto? ¿Pueden la teoría cuántica de campos y la teoría de la relatividad general de Einstein, las dos teorías, más precisas y exitosas de toda la física, unirse en una única teoría cuántica de la gravedad? Aunque se ha avanzado mucho en esta búsqueda, Hawking y Penrose insisten en que es necesario llegar mucho más lejos. En La naturaleza del espacio y el tiempo, estos dos gigantes de la física entablan un debate fundamental sobre el origen del universo. Un libro escrito a cuatro manos, con un epílogo actualizado, en el que los autores resumen cómo los recientes acontecimientos han provocado que sus posturas difieran en cuestiones tan importantes como la geometría espacial del universo o la paradoja de la desaparición de información en los agujeros negros. La prensa especializada opina... «Una obra reveladora sobre dos aproximaciones distintas a algunos de los mayores problemas sin resolver de la gravitación y la cosmología.» New Scientist «Un debate entre Hawking y Penrose alimenta las expectativas del lector por asistir a un intercambio extraordinario de ideas. En este texto, animado con el sentido del humor de Hawking, las expectativas se cumplen con creces.» The Higher Education «Un magnífico y estimulante intercambio intelectual entre dos mentes de primera categoría.» Library Journal «Una lectura interesantísima para el presente que promete ser aún más interesante para las futuras generaciones de físicos.» Science «Un documento de gran rigor científico.» Physics World

100 Years of Gravity and Accelerated Frames

The Deepest Insights of Einstein and Yang-Mills
Author: Jong-Ping Hsu,Dana Fine
Publisher: World Scientific
ISBN: 9812703403
Category: Einstein field equations
Page: 623
View: 5566
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This collection of papers presents ideas and problems arising over the past 100 years regarding classical and quantum gravity, gauge theories of gravity, and spacetime transformations of accelerated frames. Both Einstein''s theory of gravity and the YangOCoMills theory are gauge invariant. The invariance principles in physics have transcended both kinetic and dynamic properties and are at the very heart of our understanding of the physical world. In this spirit, this book attempts to survey the development of various formulations for gravitational and YangOCoMills fields and spacetime transformations of accelerated frames, and to reveal their associated problems and limitations. The aim is to present some of the leading ideas and problems discussed by physicists and mathematicians. We highlight three aspects: formulations of gravity as a YangOCoMills field, first discussed by Utiyama; problems of gravitational theory, discussed by Feynman, Dyson and others; spacetime properties and the physics of fields and particles in accelerated frames of reference. These unfulfilled aspects of Einstein and YangOCoMills'' profound thoughts present a great challenge to physicists and mathematicians in the 21st century."

Einstein's Space-Time

An Introduction to Special and General Relativity
Author: Rafael Ferraro
Publisher: Springer Science & Business Media
ISBN: 0387699465
Category: Science
Page: 310
View: 9006
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This excellent textbook offers a unique take on relativity theory, setting it in its historical context. Ideal for those interested in relativity and the history of physics, the book contains a complete account of special relativity that begins with the historical analysis of the reasons that led to a change in our view of space and time. Its aim is to foster a deep understanding of relativistic spacetime and its consequences for Dynamics.