Search results

...[[trace-free Ricci tensor]]. It was first defined by [[Jerzy Plebański]] in 1964.<ref>{{citation|first1=J.|last1=Plebański|title=The Algebraic structur ...Lun|title=The classification of the Ricci and Plebanski tensors in general relativity using Newman-Penrose formalism|journal=J. Math. Phys.|volume=22|page=2620|y ...

In [[mathematical physics]], the '''Peres [[metric tensor|metric]]''' is defin ...c is named for [[Israel]]i physicist [[Asher Peres]], who first defined it in 1959. ...

{{general relativity}} ...ties]], especially integrands and variables of integration, may be allowed in manifestly covariant equations if they are clearly weighted by the appropri ...

...differential geometry]], the '''Bel–Robinson tensor''' is a tensor defined in the [[abstract index notation]] by: ...Robinson (physicist)|Robinson]] tensor is constructed from the Weyl tensor in a manner analogous to the way the [[electromagnetic stress–energy tensor]] ...

...es for much of this material. I can find no source that shows this term is in use, so you must provide them.|u=Scarlata Ginestà|ns=118|decliner=StarryGra ...paces. The term "tensotory" is a neologism coined to describe this process in a manner analogous to "summatory" (for sums) and "productory" (for products ...

In [[general relativity]] and [[tensor calculus]], the '''contracted Bianchi identities''' are:<ref ...//zenodo.org/record/2440927|doi=10.1007/bf01446384|s2cid=122828265}}</ref> In the [[Einstein field equations]], the contracted [[Bianchi identity]] ensur ...

...ential''',<ref>{{cite journal|title=Covariant Conservation Laws in General Relativity|author=Arthur Komar|journal=Phys. Rev.|issue=3|volume= 113|year=1959|page=9 Komar superpotential is affected by the anomalous factor problem: In fact, when computed, for example, on the [[Kerr–Newman metric|Kerr–Newman s ...

{{general relativity|expanded=solutions}} ...approximate solution of the vacuum [[Einstein field equations]] of general relativity<ref name="revistas">{{Cite journal |last1=Frutos Alfaro |first1=Francisco | ...

{{Short description|Derivative in differential geometry and vector calculus}} In the math branches of [[differential geometry]] and [[vector calculus]], the ...

{{general relativity|solutions}} ...general relativity]], the '''Weyl–Lewis–Papapetrou coordinates''' are used in solutions to the [[vacuum]] region surrounding an [[axisymmetric]] distribu ...

...he [[Newman–Penrose formalism|Newman–Penrose (NP) formalism]] of [[general relativity]], independent components of the [[Ricci tensor]]s of a four-dimensional ...ransom Griffiths, Jiri Podolsky. ''Exact Space-Times in Einstein's General Relativity''. Cambridge: Cambridge University Press, 2009. Chapter 2.</ref><ref name=r ...

In [[general relativity]] and [[tensor calculus]], the '''[[Attilio Palatini|Palatini]] identity''' ...s for the [[Lie derivative]] <math>\mathcal{L}_{\xi} R_{\sigma\nu}</math>. In fact, one has ...

...an manifold|pseudo-Riemannian metric]] and a [[connection (vector bundle)|general linear connection]] on a [[world manifold]] <math>X</math>. Metric-affine ...math> provided with bundle coordinates <math> (x^\mu,\dot x^\mu)</math>. A general linear connection on <math>TX</math> is represented by a [[connection (fibr ...

In mathematics, a '''relative scalar''' (of weight&nbsp;''w'') is a [[scalar-v ...ock |first1=David |last2=Rund |first2=Hanno |authorlink2=Hanno Rund |title=Tensors, Differential Forms, and Variational Principles |date=1 April 1989 | publis ...

...mission|d|reason|We have articles about topics that are already well-known in their field. The only references here are by the originator of this very re ...Ogonowski |last2=Skindzier |page=015018 |publisher=IOP |title=Alena Tensor in unification applications |url=https://iopscience.iop.org/article/10.1088/14 ...

...rally admits gauge symmetries, though it may happen that they are trivial. In [[theoretical physics]], the notion of [[gauge symmetry|gauge symmetries]] ...or on some [[fiber bundle|vector bundle]] <math>E</math> taking its values in the linear space of (variational or exact) symmetries of <math>L</math>. Th ...

{{Special relativity sidebar}} ...s. While some are [[Mathematics|mathematically]] equivalent to [[Theory of relativity|Einstein's theory]], others aim to revise or extend it. ...

...| pages=2116–2120| pmid=9958915 | bibcode=1988PhRvD..37.2116G }}</ref> and in terms of tetrads by Henneaux et al.<ref>{{cite journal | last1=Henneaux | f {{main|Einstein–Hilbert action|Frame fields in general relativity|spin connection|Tetradic Palatini action}} ...

...of Physics (New York), 22, 421</ref> to study the [[geometrical optics]] in [[Curved space time|curved space-time]] filled with moving dielectric mater An important fact about '''Gordon's optical metric''' is that in curved space-time filled with dielectric material, electromagnetic waves (u ...

{{General relativity sidebar |solutions}} ...in the region surrounding an electrically charged, rotating mass embedded in an expanding universe. It generalizes the [[Kerr–Newman metric]] by taking ...