The Resource Gravity, a Geometrical Course : Volume 1: Development of the Theory and Basic Physical Applications, by Pietro Giuseppe Frè, (electronic resource)
Gravity, a Geometrical Course : Volume 1: Development of the Theory and Basic Physical Applications, by Pietro Giuseppe Frè, (electronic resource)
 Summary
 {u2018}Gravity, a Geometrical Course{u2019} presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications,  updated to the issues of contemporary research and observations, with glimpses on supergravity and superstring theory, iii) the historical development of scientific ideas underlying both the birth of general relativity and its subsequent evolution. The book is divided in two volumes.   Volume One is dedicated to the development of the theory and basic physical applications. It guides the reader from the foundation of special relativity to Einstein field equations, illustrating some basic applications in astrophysics. A detailed  account  of the historical and conceptual development of the theory is combined with the presentation of its mathematical foundations.  Differentiable manifolds, fibrebundles, differential forms, and the theory of connections are covered, with a sketchy introduction to homology and cohomology. (Pseudo)Riemannian geometry is presented both in the metric and in the vielbein approach. Physical applications include the motions in a Schwarzschild field leading to the classical tests of GR (lightray bending and periastron advance) discussion of relativistic stellar equilibrium, white dwarfs, Chandrasekhar mass limit and polytropes. An entire chapter is devoted to tests of GR and to the indirect evidence of gravitational wave emission. The formal structure of gravitational theory is at all stages compared with that of non gravitational gauge theories, as a preparation to its modern extension, namely supergravity, discussed in the second volume.  Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy. He has taught General Relativity for 15 years
 Language
 eng
 Extent
 XVIII, 338 p.
 Contents

 Acknowledgement
 Preface
 Special Relativity: setting the stage. Manifolds and fibre bundles
 Connections and Metrics
 Motion in the Schwarzschild Field
 Einstein versus Yang Mills Field Equations
 Stellar Equilibrium
 Gravitational Waves and the Binary Pulsars
 Conclusion of volume 1
 Appendix A: Spinors and Gamma Matrix Algebra
 Appendix B: Mathematica Packages
 Index
 Isbn
 9789400753617
 Label
 Gravity, a Geometrical Course : Volume 1: Development of the Theory and Basic Physical Applications
 Title
 Gravity, a Geometrical Course
 Title remainder
 Volume 1: Development of the Theory and Basic Physical Applications
 Statement of responsibility
 by Pietro Giuseppe Frè
 Language
 eng
 Summary
 {u2018}Gravity, a Geometrical Course{u2019} presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications,  updated to the issues of contemporary research and observations, with glimpses on supergravity and superstring theory, iii) the historical development of scientific ideas underlying both the birth of general relativity and its subsequent evolution. The book is divided in two volumes.   Volume One is dedicated to the development of the theory and basic physical applications. It guides the reader from the foundation of special relativity to Einstein field equations, illustrating some basic applications in astrophysics. A detailed  account  of the historical and conceptual development of the theory is combined with the presentation of its mathematical foundations.  Differentiable manifolds, fibrebundles, differential forms, and the theory of connections are covered, with a sketchy introduction to homology and cohomology. (Pseudo)Riemannian geometry is presented both in the metric and in the vielbein approach. Physical applications include the motions in a Schwarzschild field leading to the classical tests of GR (lightray bending and periastron advance) discussion of relativistic stellar equilibrium, white dwarfs, Chandrasekhar mass limit and polytropes. An entire chapter is devoted to tests of GR and to the indirect evidence of gravitational wave emission. The formal structure of gravitational theory is at all stages compared with that of non gravitational gauge theories, as a preparation to its modern extension, namely supergravity, discussed in the second volume.  Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy. He has taught General Relativity for 15 years
 Image bit depth
 0
 Literary form
 non fiction
 Label
 Gravity, a Geometrical Course : Volume 1: Development of the Theory and Basic Physical Applications, by Pietro Giuseppe Frè, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Acknowledgement  Preface  Special Relativity: setting the stage. Manifolds and fibre bundles  Connections and Metrics  Motion in the Schwarzschild Field  Einstein versus Yang Mills Field Equations  Stellar Equilibrium  Gravitational Waves and the Binary Pulsars  Conclusion of volume 1  Appendix A: Spinors and Gamma Matrix Algebra  Appendix B: Mathematica Packages  Index
 http://library.link/vocab/cover_art
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 unknown
 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b3388117'}
 Extent
 XVIII, 338 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9789400753617
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 online resource.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/GravityaGeometricalCourseVolume1/WRjptRjtUE/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/GravityaGeometricalCourseVolume1/WRjptRjtUE/">Gravity, a Geometrical Course : Volume 1: Development of the Theory and Basic Physical Applications, by Pietro Giuseppe Frè, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>