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

zbMATH Keywords

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

Mathematics Subject Classification ID

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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