The General Theory of Relativity
DOI10.1007/978-1-4614-3658-4zbMath1250.83001OpenAlexW4235730219MaRDI QIDQ5891499
Andrew DeBenedictis, Anadijiban Das
Publication date: 12 April 2012
Full work available at URL: https://doi.org/10.1007/978-1-4614-3658-4
curvature tensordifferential formscosmological modelsblack holesEinstein spaceaffine connectionEinstein's field equationpseudo-Riemannian manifoldstationary space-timespecial theory of relativitytensor analysisspherically symmetric solutionalgebraic classificationgeneral theory of relativityexterior derivativecoupled Einstein-Maxwell-Klein-Gordon equationNewman-Penrose equation
Relativistic cosmology (83F05) Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Space-time singularities, cosmic censorship, etc. (83C75) Special relativity (83A05) Kaluza-Klein and other higher-dimensional theories (83E15) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Exact solutions to problems in general relativity and gravitational theory (83C15) Local Riemannian geometry (53B20) Einstein-Maxwell equations (83C22) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to relativity and gravitational theory (83-01)
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