Palatini variation


Palatini variation

In general relativity and gravitation the Palatini variation is nowadays thought of as variation of a Lagrangian with respect to the connection.For general relativity Palatini variation gives that the connection is theChristoffel connection. The reason that Palatini variation is consider important is that it means that the use of the Christoffel connection in general relativity does not have to be added as a separate assumption, the information is already in the Lagrangian. For theories of gravitation which have more complexlagrangians than the Einstein-Hilbert Lagrangian of general relativity Palatini variation sometimes gives more complex connections and sometimes tensorial equations. The history of the subject is not straightfoward, see the references.

References

A.Palatini (1919) Deduzione invariantiva delle equazioni gravitazionali dal principio di Hamilton, Rend.Circ.Mat.Palermo43,203 [English translation by R.Hojman and C.Mukku in P.G.Bergmann and V.De Sabbata (eds.)Cosmology and Gravitation, Plenum Press, New York (1980)]

M.Ferraris, M.Francaviglia, C.Reina, Variational Formulation of General Relativity from 1915 to 1925 'Palatini's Method' Discovered by Einstein in 1925,Gen.Rel.Grav.14(1982)243-254.


Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Einstein–Cartan theory — in theoretical physics extends general relativity to correctly handle spin angular momentum. As the master theory of classical physics general relativity has one known flaw: it cannot describe spin orbit coupling , i.e., exchange of intrinsic… …   Wikipedia

  • Einstein–Hilbert action — General relativity Introduction Mathematical formulation Resources Fundamental concepts …   Wikipedia

  • Order of the Dragon — Oswald von Wolkenstein Portrait from the Innsbrucker Handschrift, 1432 wearing the Order of the Dragon chain The Order of the Dragon (Latin Societas Draconistrarum) was a monarchical chivalric order for selected nobility,[1] …   Wikipedia

  • Ordre du Dragon — L Ordre du Dragon (allemand: der Drachenorden; latin: Societas Draconistrarum) est un ordre de nobles élus, d après le modèle de l Ordre de Saint Georges de Bourgogne. L Ordre a été réactivé à l origine par le saint empereur romain germanique… …   Wikipédia en Français

  • nervous system, human — ▪ anatomy Introduction       system that conducts stimuli from sensory receptors to the brain and spinal cord and that conducts impulses back to other parts of the body. As with other higher vertebrates, the human nervous system has two main… …   Universalium


Share the article and excerpts

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

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.