001463454 000__ 03534cam\a2200649\i\4500 001463454 001__ 1463454 001463454 003__ OCoLC 001463454 005__ 20230601003321.0 001463454 006__ m\\\\\o\\d\\\\\\\\ 001463454 007__ cr\cn\nnnunnun 001463454 008__ 230425s2023\\\\sz\a\\\\ob\\\\001\0\eng\d 001463454 019__ $$a1377277002 001463454 020__ $$a9783031161391$$qelectronic book 001463454 020__ $$a3031161394$$qelectronic book 001463454 020__ $$z9783031161384 001463454 020__ $$z3031161386 001463454 0247_ $$a10.1007/978-3-031-16139-1$$2doi 001463454 035__ $$aSP(OCoLC)1377309738 001463454 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX 001463454 0411_ $$aeng$$hger 001463454 049__ $$aISEA 001463454 050_4 $$aQC173.6$$b.O4613 2023 001463454 08204 $$a530.1101/51$$223/eng/20230425 001463454 1001_ $$aOloff, Rainer,$$eauthor. 001463454 24010 $$aGeometrie der Raumzeit.$$lEnglish 001463454 24514 $$aThe geometry of spacetime :$$ba mathematical introduction to relativity theory /$$cRainer Oloff. 001463454 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2023] 001463454 300__ $$a1 online resource (xix, 274 pages) :$$billustrations. 001463454 336__ $$atext$$btxt$$2rdacontent 001463454 337__ $$acomputer$$bc$$2rdamedia 001463454 338__ $$aonline resource$$bcr$$2rdacarrier 001463454 4901_ $$aGraduate texts in physics 001463454 500__ $$aTranslated from the German. 001463454 504__ $$aIncludes bibliographical references and index. 001463454 5050_ $$aDifferentiable manifolds -- Tangent vectors -- Tensors -- Semi-Riemann manifolds -- Special relativity -- Differential forms -- Covariant derivation of vector fields -- Curvature -- Matter -- Geodesy -- Covariant differentiation of tensor fields -- Lie derivation -- Integration on manifolds -- Non-rotating black holes -- Cosmology -- Rotating black holes -- An overview of string theory. 001463454 506__ $$aAccess limited to authorized users. 001463454 520__ $$aThis book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail. The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra. 001463454 588__ $$aDescription based on online resource; title from digital title page (viewed on May 25, 2023). 001463454 650_0 $$aRelativity (Physics)$$xMathematics. 001463454 650_0 $$aGeometry, Differential. 001463454 655_0 $$aElectronic books. 001463454 77608 $$iPrint version:$$aOloff, Rainer.$$tGeometry of spacetime.$$dCham : Springer, 2022$$z9783031161384$$w(OCoLC)1348993889 001463454 830_0 $$aGraduate texts in physics. 001463454 852__ $$bebk 001463454 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-16139-1$$zOnline Access$$91397441.1 001463454 909CO $$ooai:library.usi.edu:1463454$$pGLOBAL_SET 001463454 980__ $$aBIB 001463454 980__ $$aEBOOK 001463454 982__ $$aEbook 001463454 983__ $$aOnline 001463454 994__ $$a92$$bISE