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001 978-1-84628-487-8
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008 100301s2007 xxk| s |||| 0|eng d
020 _a9781846284878
_9978-1-84628-487-8
024 7 _a10.1007/978-1-84628-487-8
_2doi
040 _aISI Library, Kolkata
050 4 _aQC178
050 4 _aQC173.5-173.65
072 7 _aPHDV
_2bicssc
072 7 _aSCI033000
_2bisacsh
072 7 _aPHDV
_2thema
072 7 _aPHR
_2thema
082 0 4 _a530.1
_223
100 1 _aWoodhouse, N. M. J.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aGeneral Relativity
_h[electronic resource] /
_cby N. M. J. Woodhouse.
264 1 _aLondon :
_bSpringer London,
_c2007.
300 _aX, 220 p. 33 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Undergraduate Mathematics Series,
_x1615-2085
505 0 _aNewtonian Gravity -- Inertial Coordinates and Tensors -- Energy-Momentum Tensors -- Curved Space—Time -- Tensor Calculus -- Einstein’s Equation -- Spherical Symmetry -- Orbits in the Schwarzschild Space—Time -- Black Holes -- Rotating Bodies -- Gravitational Waves -- Redshift and Horizons.
520 _aBased on a course given at Oxford over many years, this book is a short and concise exposition of the central ideas of general relativity. Although the original audience was made up of mathematics students, the focus is on the chain of reasoning that leads to the relativistic theory from the analysis of distance and time measurements in the presence of gravity, rather than on the underlying mathematical structure. The geometric ideas - which are central to the understanding of the nature of gravity - are introduced in parallel with the development of the theory, the emphasis being on laying bare how one is led to pseudo-Riemannian geometry through a natural process of reconciliation of special relativity with the equivalence principle. At centre stage are the "local inertial coordinates" set up by an observer in free fall, in which special relativity is valid over short times and distances. In more practical terms, the book is a sequel to the author's Special Relativity in the same series, with some overlap in the treatment of tensors. The basic theory is presented using techniques, such as phase-plane analysis, that will already be familiar to mathematics undergraduates, and numerous problems, of varying levels of difficulty, are provided to test understanding. The latter chapters include the theoretical background to contemporary observational tests - in particular the detection of gravitational waves and the verification of the Lens-Thirring precession - and some introductory cosmology, to tempt the reader to further study. While primarily designed as an introduction for final-year undergraduates and first-year postgraduates in mathematics, the book is also accessible to physicists who would like to see a more mathematical approach to the ideas.
650 0 _aMathematics.
650 0 _aGlobal differential geometry.
650 0 _aAstronomy.
650 1 4 _aClassical and Quantum Gravitation, Relativity Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19070
650 2 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19005
650 2 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aAstronomy, Astrophysics and Cosmology.
_0http://scigraph.springernature.com/things/product-market-codes/P22006
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781848005440
776 0 8 _iPrinted edition:
_z9781846284861
830 0 _aSpringer Undergraduate Mathematics Series,
_x1615-2085
856 4 0 _uhttps://doi.org/10.1007/978-1-84628-487-8
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425462
_d425462