zbMATH — the first resource for mathematics

Mathematics Subject Classification – MSC2010

83-XX

Relativity and gravitational theory 64845

83-00

General reference works (handbooks, dictionaries, bibliographies, etc.) 15

83-01

Instructional exposition (textbooks, tutorial papers, etc.) 600

83-02

Research exposition (monographs, survey articles) 1600

83-03

Historical (must also be assigned at least one classification number from Section 01) 1036

83-04

Explicit machine computation and programs (not the theory of computation or programming) 156

83-05

Experimental work 99

83-06

Proceedings, conferences, collections, etc. 675

83-08

Computational methods 800

83Axx

Special relativity 3003

83A05

Special relativity 2982

83A99

None of the above, but in this section 15

83Bxx

Observational and experimental questions 1888

83B05

Observational and experimental questions 1885

83B99

None of the above, but in this section 0

83Cxx

General relativity 44107

83C05

Einstein’s equations (general structure, canonical formalism, Cauchy problems) 7384

83C10

Equations of motion 4513

83C15

Exact solutions 5853

83C20

Classes of solutions; algebraically special solutions, metrics with symmetries 2766

83C22

Einstein-Maxwell equations 2038

83C25

Approximation procedures, weak fields 2333

83C27

Lattice gravity, Regge calculus and other discrete methods 696

83C30

Asymptotic procedures (radiation, news functions, \(\mathcal H\)-spaces, etc.) 794

83C35

Gravitational waves 2577

83C40

Gravitational energy and conservation laws; groups of motions 2258

83C45

Quantization of the gravitational field 6011

83C47

Methods of quantum field theory [See also 81T20] 3686

83C50

Electromagnetic fields 1721

83C55

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) 4476

83C57

Black holes 11316

83C60

Spinor and twistor methods; Newman-Penrose formalism 1907

83C65

Methods of noncommutative geometry [See also 58B34] 731

83C75

Space-time singularities, cosmic censorship, etc. 3574

83C80

Analogues in lower dimensions 1137

83C99

None of the above, but in this section 1286

83Dxx

Relativistic gravitational theories other than Einstein’s, including asymmetric field theories 8470

83D05

Relativistic gravitational theories other than Einstein’s, including asymmetric field theories 8456

83D99

None of the above, but in this section 11

83Exx

Unified, higher-dimensional and super field theories 17005

83E05

Geometrodynamics 1261

83E15

Kaluza-Klein and other higher-dimensional theories 4907

83E30

String and superstring theories [See also 81T30] 8355

83E50

Supergravity 4479

83E99

None of the above, but in this section 286

83Fxx

Cosmology 14290

83F05

Cosmology 14275

83F99

None of the above, but in this section 10

Overview

General mathematics

History and biography

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Combinatorics

Order, lattices, ordered algebraic structures

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Linear and multilinear algebra; matrix theory

Associative rings and algebras

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Category theory, homological algebra

\(K\)-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximation and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

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Calculus of variations and optimal control; optimization

Geometry

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Computer science

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Classical thermodynamics, heat transfer

Quantum Theory

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Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication, circuits

Mathematics education

any	anywhere
cc	classification code
ct	classification text

a & b	logical and	abc*	right wildcard
a \| b	logical or	"ab c"	phrase
!ab	logical not	(ab c)	parentheses

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Mathematics Subject Classification – MSC2010

Overview