000			03955nam a22005775i 4500
001			978-1-84628-487-8
003			DE-He213
005			20161121231126.0
007			cr nn 008mamaa
008			100301s2007 xxk| s |||| 0|eng d
020			_a9781846284878 _9978-1-84628-487-8
024	7		_a10.1007/978-1-84628-487-8 _2doi
050		4	_aQC178
050		4	_aQC173.5-173.65
072		7	_aPHDV _2bicssc
072		7	_aPHR _2bicssc
072		7	_aSCI033000 _2bisacsh
082	0	4	_a530.1 _223
100	1		_aWoodhouse, N. M. J. _eauthor.
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	_aPhysics.
650		0	_aApplied mathematics.
650		0	_aEngineering mathematics.
650		0	_aDifferential geometry.
650		0	_aGravitation.
650		0	_aAstronomy.
650		0	_aAstrophysics.
650		0	_aCosmology.
650	1	4	_aPhysics.
650	2	4	_aClassical and Quantum Gravitation, Relativity Theory.
650	2	4	_aApplications of Mathematics.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
650	2	4	_aDifferential Geometry.
650	2	4	_aAstronomy, Astrophysics and Cosmology.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781846284861
830		0	_aSpringer Undergraduate Mathematics Series, _x1615-2085
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-84628-487-8
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c508981 _d508981