Matches in SemOpenAlex for { <https://semopenalex.org/work/W3044931610> ?p ?o ?g. }
- W3044931610 endingPage "045601" @default.
- W3044931610 startingPage "045601" @default.
- W3044931610 abstract "This note provides a short guide to dimensional analysis in Lorentzian and general relativity and in differential geometry. It tries to revive Dorgelo and Schouten's notion of 'intrinsic' or 'absolute' dimension of a tensorial quantity. The intrinsic dimension is independent of the dimensions of the coordinates and expresses the physical and operational meaning of a tensor. The dimensional analysis of several important tensors and tensor operations is summarized. In particular it is shown that the components of a tensor need not have all the same dimension, and that the Riemann (once contravariant and thrice covariant), Ricci (twice covariant), and Einstein (twice covariant) curvature tensors are dimensionless. The relation between dimension and operational meaning for the metric and stress-energy-momentum tensors is discussed; and the possible conventions for the dimensions of these two tensors and of Einstein's constant $kappa$, including the curious possibility $kappa = 8pi G$ without $c$ factors, are reviewed." @default.
- W3044931610 created "2020-07-29" @default.
- W3044931610 creator A5018856585 @default.
- W3044931610 date "2021-04-20" @default.
- W3044931610 modified "2023-09-25" @default.
- W3044931610 title "Dimensional analysis in relativity and in differential geometry" @default.
- W3044931610 cites W103655672 @default.
- W3044931610 cites W1965352509 @default.
- W3044931610 cites W1969981108 @default.
- W3044931610 cites W1978708063 @default.
- W3044931610 cites W1981642479 @default.
- W3044931610 cites W1982309386 @default.
- W3044931610 cites W1990273600 @default.
- W3044931610 cites W2000211485 @default.
- W3044931610 cites W2013001782 @default.
- W3044931610 cites W2047910962 @default.
- W3044931610 cites W2060541429 @default.
- W3044931610 cites W2067600895 @default.
- W3044931610 cites W2075373517 @default.
- W3044931610 cites W2078168960 @default.
- W3044931610 cites W2094512723 @default.
- W3044931610 cites W2144255585 @default.
- W3044931610 cites W2243423914 @default.
- W3044931610 cites W2424924313 @default.
- W3044931610 cites W2489724854 @default.
- W3044931610 cites W2755383563 @default.
- W3044931610 cites W2942059686 @default.
- W3044931610 cites W3045492007 @default.
- W3044931610 cites W3098565491 @default.
- W3044931610 cites W3103755689 @default.
- W3044931610 cites W4205424143 @default.
- W3044931610 cites W4232974850 @default.
- W3044931610 cites W4251961599 @default.
- W3044931610 cites W4301006046 @default.
- W3044931610 doi "https://doi.org/10.1088/1361-6404/aba90b" @default.
- W3044931610 hasPublicationYear "2021" @default.
- W3044931610 type Work @default.
- W3044931610 sameAs 3044931610 @default.
- W3044931610 citedByCount "0" @default.
- W3044931610 crossrefType "journal-article" @default.
- W3044931610 hasAuthorship W3044931610A5018856585 @default.
- W3044931610 hasBestOaLocation W30449316102 @default.
- W3044931610 hasConcept C121332964 @default.
- W3044931610 hasConcept C134306372 @default.
- W3044931610 hasConcept C14440778 @default.
- W3044931610 hasConcept C146846114 @default.
- W3044931610 hasConcept C147452769 @default.
- W3044931610 hasConcept C149324446 @default.
- W3044931610 hasConcept C155281189 @default.
- W3044931610 hasConcept C165748483 @default.
- W3044931610 hasConcept C165818556 @default.
- W3044931610 hasConcept C183517385 @default.
- W3044931610 hasConcept C195065555 @default.
- W3044931610 hasConcept C202444582 @default.
- W3044931610 hasConcept C206236147 @default.
- W3044931610 hasConcept C21511379 @default.
- W3044931610 hasConcept C2524010 @default.
- W3044931610 hasConcept C33332235 @default.
- W3044931610 hasConcept C33676613 @default.
- W3044931610 hasConcept C33923547 @default.
- W3044931610 hasConcept C37914503 @default.
- W3044931610 hasConcept C44715290 @default.
- W3044931610 hasConcept C8466233 @default.
- W3044931610 hasConcept C9136319 @default.
- W3044931610 hasConceptScore W3044931610C121332964 @default.
- W3044931610 hasConceptScore W3044931610C134306372 @default.
- W3044931610 hasConceptScore W3044931610C14440778 @default.
- W3044931610 hasConceptScore W3044931610C146846114 @default.
- W3044931610 hasConceptScore W3044931610C147452769 @default.
- W3044931610 hasConceptScore W3044931610C149324446 @default.
- W3044931610 hasConceptScore W3044931610C155281189 @default.
- W3044931610 hasConceptScore W3044931610C165748483 @default.
- W3044931610 hasConceptScore W3044931610C165818556 @default.
- W3044931610 hasConceptScore W3044931610C183517385 @default.
- W3044931610 hasConceptScore W3044931610C195065555 @default.
- W3044931610 hasConceptScore W3044931610C202444582 @default.
- W3044931610 hasConceptScore W3044931610C206236147 @default.
- W3044931610 hasConceptScore W3044931610C21511379 @default.
- W3044931610 hasConceptScore W3044931610C2524010 @default.
- W3044931610 hasConceptScore W3044931610C33332235 @default.
- W3044931610 hasConceptScore W3044931610C33676613 @default.
- W3044931610 hasConceptScore W3044931610C33923547 @default.
- W3044931610 hasConceptScore W3044931610C37914503 @default.
- W3044931610 hasConceptScore W3044931610C44715290 @default.
- W3044931610 hasConceptScore W3044931610C8466233 @default.
- W3044931610 hasConceptScore W3044931610C9136319 @default.
- W3044931610 hasFunder F4320306399 @default.
- W3044931610 hasIssue "4" @default.
- W3044931610 hasLocation W30449316101 @default.
- W3044931610 hasLocation W304493161010 @default.
- W3044931610 hasLocation W304493161011 @default.
- W3044931610 hasLocation W30449316102 @default.
- W3044931610 hasLocation W30449316103 @default.
- W3044931610 hasLocation W30449316104 @default.
- W3044931610 hasLocation W30449316105 @default.
- W3044931610 hasLocation W30449316106 @default.
- W3044931610 hasLocation W30449316107 @default.
- W3044931610 hasLocation W30449316108 @default.