zbMATH — the first resource for mathematics

Mathematics Subject Classification – MSC2020

83-XX

Relativity and gravitational theory 67658

83Cxx

General relativity 46063

83C05

Einstein’s equations (general structure, canonical formalism, Cauchy problems) 7686

83C10

Equations of motion in general relativity and gravitational theory 4659

83C15

Exact solutions to problems in general relativity and gravitational theory 6078

83C20

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory 2930

83C22

Einstein-Maxwell equations 2128

83C25

Approximation procedures, weak fields in general relativity and gravitational theory 2404

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 811

83C35

Gravitational waves 2682

83C40

Gravitational energy and conservation laws; groups of motions 2372

83C45

Quantization of the gravitational field 6307

83C47

Methods of quantum field theory in general relativity and gravitational theory [See also 81T20] 3904

83C50

Electromagnetic fields in general relativity and gravitational theory 1775

83C55

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) 4602

83C56

Dark matter and dark energy 107

83C57

Black holes 12044

83C60

Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism 2070

83C65

Methods of noncommutative geometry in general relativity [See also 58B34] 779

83C75

Space-time singularities, cosmic censorship, etc. 3754

83C80

Analogues of general relativity in lower dimensions 1258

83C99

None of the above, but in this section 1308

Overview

General and overarching topics; collections

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

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

Approximations and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

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

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

zbMATH — the first resource for mathematics

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Mathematics Subject Classification – MSC2020

Overview