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Mathematics Subject Classification – MSC2020

Relativity and gravitational theory 67607

General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to relativity and gravitational theory 16

83-01

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to relativity and gravitational theory 630

83-02

Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory 1643

83-03

History of relativity and gravitational theory [Consider also classification numbers pertaining to Section 01-XX] 1082

83-04

Software, source code, etc. for problems pertaining to relativity and gravitational theory 157

83-05

Experimental work for problems pertaining to relativity and gravitational theory 99

83-06

Proceedings, conferences, collections, etc. pertaining to relativity and gravitational theory 689

83-08

Computational methods for problems pertaining to relativity and gravitational theory 806

83-10

Mathematical modeling or simulation for problems pertaining to relativity and gravitational theory 4

83-11

Research data for problems pertaining to relativity and gravitational theory 0

83Axx

Special relativity 3098

83A05

Special relativity 3078

83A99

None of the above, but in this section 17

83Bxx

Observational and experimental questions in relativity and gravitational theory 1958

83B05

Observational and experimental questions in relativity and gravitational theory 1955

83B99

None of the above, but in this section 1

83Cxx

General relativity 46022

83C05

Einstein’s equations (general structure, canonical formalism, Cauchy problems) 7678

83C10

Equations of motion in general relativity and gravitational theory 4651

83C15

Exact solutions to problems in general relativity and gravitational theory 6073

83C20

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory 2925

83C22

Einstein-Maxwell equations 2125

83C25

Approximation procedures, weak fields in general relativity and gravitational theory 2400

83C27

Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory 715

83C30

Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory 810

83C35

Gravitational waves 2679

83C40

Gravitational energy and conservation laws; groups of motions 2370

83C45

Quantization of the gravitational field 6305

83C47

Methods of quantum field theory in general relativity and gravitational theory [See also 81T20] 3898

83C50

Electromagnetic fields in general relativity and gravitational theory 1774

83C55

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) 4596

83C56

Dark matter and dark energy 103

83C57

Black holes 12032

83C60

Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism 2068

83C65

Methods of noncommutative geometry in general relativity [See also 58B34] 778

83C75

Space-time singularities, cosmic censorship, etc. 3751

83C80

Analogues of general relativity in lower dimensions 1256

83C99

None of the above, but in this section 1308

83Dxx

Relativistic gravitational theories other than Einstein’s, including asymmetric field theories 9064

83D05

Relativistic gravitational theories other than Einstein’s, including asymmetric field theories 9052

83D99

None of the above, but in this section 11

83Exx

Unified, higher-dimensional and super field theories 17894

83E05

Geometrodynamics and the holographic principle [See also 81T35] 1546

83E15

Kaluza-Klein and other higher-dimensional theories 5052

83E30

String and superstring theories in gravitational theory [See also 81T30] 8755

83E50

Supergravity 4684

83E99

None of the above, but in this section 289

83Fxx

Cosmology 14799

83F05

Cosmology 14783

83F99

None of the above, but in this section 10

Overview

General and overarching topics; collections

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

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Field theory and polynomials

Commutative algebra

Algebraic geometry

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

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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

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Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

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Calculus of variations and optimal control; optimization

Geometry

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General topology

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Probability theory and stochastic processes

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Computer science

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Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, finance, and other social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication theory, circuits

Mathematics education

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ct	classification text

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a \| b	logical or	"ab c"	phrase
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Mathematics Subject Classification – MSC2020

Overview