Results 301 to 310 of about 4,186,119 (356)

Tensor Formalism for General Relativity

2015
Abstract This chapter introduces the basic tensor formalism needed for a proper formulation of general relativity. In a curved space, one must work with the covariant derivative, which is a combination of the ordinary derivative and the first derivatives of the metric (Christoffel symbols).
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Scalar-Tensor Theory and General Relativity

Physical Review D, 1972
The various versions of the scalar-tensor theory (e.g., the theories of Jordan, Hoyle, and Brans-Dicke) are derived from a general variational principle. It is shown that scalar-conformal transformations not only interconvert the various current versions of the scalar-tensor theory (i.e., Brans-Dicke theory \ensuremath{\rightleftarrows} Hoyle steady ...
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PrePCT: Traffic congestion prediction in smart cities with relative position congestion tensor

Neurocomputing, 2020
Mengting Bai, Yangxin Lin, Meng Ma, Ping Wang, Lihua Duan   +4 more
semanticscholar   +1 more source

Killing-Yano tensors in general relativity

International Journal of Theoretical Physics, 1987
Verf. zeigt, daß Raum-Zeiten, die mehrere Killing-Yano-Tensoren (d.h. Bivektoren \(F_{ab}\), die \(F_{ab;c}+F_{ac;b}=0\) erfüllen) zulassen, von sehr speziellem Charakter sind.
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Vector Tensor Analysis in Relativity Theory

1982
It was emphasized earlier that the laws of electromagnetism have the same form when compared in coordinate systems that are in relative motion only if the translation of ‘words’ — the space and time parameters — are such that they transform together as a unified set.
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Module-relative-Hochschild (co)homology of tensor products

Frontiers of Mathematics in China, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Tensor in Relativity

2022
Bipin Singh Koranga, Sanjay Kumar Padaliya   +1 more
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Vectors, Tensors, Manifolds and Special Relativity

2015
Assuming that the reader is familiar with the notion of vectors, within a few pages, with a few examples, the reader will get to be familiar with the generic picture of tensors. With the specific notions given in this chapter, the reader will be able to understand more advanced tensor courses with no further effort.
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Results of Relativity without the Theory of Tensors

The Mathematical Gazette, 1934
The Special Theory of Relativity leads to the following conclusions : (i) The three dimensions of space and one of time constitute an isotropic fourfold, in which there is no unique time-direction, just as there is no unique space direction.
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Space tensors in general relativity I: Spatial tensor algebra and analysis

General Relativity and Gravitation, 1974
A pair (M, Γ) is defined as a Riemannian manifold M of normal hyperbolic type carrying a distinguished time-like congruence Γ. The spatial tensor algebraD associated with the pair (M, Γ) is discussed. A general definition of the concept of spatial tensor analysis over (M, Γ) is then proposed. Basically, this includes a spatial covariant differentiation\
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