Segre classification

Segre classification

The Segre classification is an algebraic classification of rank two symmetric tensors. The resulting types are then known as Segre types. It is most commonly applied to the energy-momentum tensor (or the Ricci tensor) and primarily finds application in the classification of exact solutions in general relativity.

ee also

*Corrado Segre
*Exact solutions in general relativity
*Jordan normal form
*Petrov classification

References

*cite book | author=Stephani, Hans; Kramer, Dietrich; MacCallum, Malcolm; Hoenselaers, Cornelius; and Herlt, Eduard | title=Exact Solutions of Einstein's Field Equations | location=Cambridge | publisher=Cambridge University Press | year=2003 | id=ISBN 0-521-46136-7 See "section 5.1" for the Segre classification.

*cite journal | author=Segre, C. | title=Sulla teoria e sulla classificazione delle omogradfie in uno spazio lineare ad uno numero qualcunque di dimensioni| journal=Memorie della R. Accademia dei Lincei | year=1884 | volume=3a | pages=127


Wikimedia Foundation. 2010.

Игры ⚽ Нужно сделать НИР?

Look at other dictionaries:

  • Segre — may be Beniamino Segre (1903 – 1977), Italian geometer Corrado Segre (1863 1924) , Italian geometer distantly related to Beniamino Emilio Segrè (1905 1989), Italian American physicist Segre River, a river in Catalonia See also Segre… …   Wikipedia

  • Corrado Segre — Born 20 August 1863(1863 08 20) Saluzzo, Italy …   Wikipedia

  • Petrov classification — In differential geometry and theoretical physics, the Petrov classification describes the possible algebraic symmetries of the Weyl tensor at each event in a Lorentzian manifold.It is most often applied in studying exact solutions of Einstein s… …   Wikipedia

  • Exact solutions in general relativity — In general relativity, an exact solution is a Lorentzian manifold equipped with certain tensor fields which are taken to model states of ordinary matter, such as a fluid, or classical nongravitational fields such as the electromagnetic field.… …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

  • Contributors to the mathematical background for general relativity — This is a list of contributors to the mathematical background for general relativity. For ease of readability, the contributions (in brackets) are unlinked but can be found in the contributors article. Contents: Top · 0–9 · A B C D E F… …   Wikipedia

  • Mathematics of general relativity — For a generally accessible and less technical introduction to the topic, see Introduction to mathematics of general relativity. General relativity Introduction Mathematical formulation Resources …   Wikipedia

  • Spacetime symmetries — refers to aspects of spacetime that can be described as exhibiting some form of symmetry. The role of symmetry in physics is important, for example, in simplifying solutions to many problems. Spacetime symmetries are used to simplify problems and …   Wikipedia

  • Stress-energy tensor — The stress energy tensor (sometimes stress energy momentum tensor) is a tensor quantity in physics that describes the density and flux of energy and momentum in spacetime, generalizing the stress tensor of Newtonian physics. It is an attribute of …   Wikipedia

  • Oval (projective plane) — In mathematics, an oval in a projective plane is a set of points, no three collinear, such that there is a unique tangent line at each point (a tangent line is defined as a line meeting the point set at only one point, also known as a 1 secant).… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”