Considering an extended metric tensor which is a function of an internal vector y sup(a) (x), it is possible to determine a spin 1 massless field of gravitational origin. It is shown that this new field vanishes in the linear aproximation for the extended metric. (ERA citation 11:004542...
1.1. Spacetime and the gravitational metric tensor In Einstein's theory of General Relativity, all properties of the gravitational field are determined by the gravitational metric tensor g, a Lorentzian metric that describes a continuous field of symmetric bilinear forms of signature (−1, 1, 1,...
While the notion of a metric tensor was known in some sense to mathematicians such as Carl Gauss from the early 19th century, it was not until the early 20th century that its properties as a tensor were understood by, in particular, Gregorio Ricci-Curbastro and Tullio Levi-Civita, who firs...
Tensor bandage tensor tympani ten-speed ten-spined stickleback tenspot ten-spot ten-strike Tensure tent Tent bed tent caterpillar ▼ Complete English Grammar Rules is now available in paperback and eBook formats. Make it yours today! Advertisement. Bad banner? Pleaselet us knowRemove Ads...
It is characterized by a rational number and an intrinsic metric tensor that defines distances on an ``incompressibility lengthscale''. These properties do not require rotational invariance in the 2D plane. The sign of the guiding-center Hall viscosity distinguishes particle fluids from hole fluids,...
If partial derivatives of chart coordinates with respect to local coordinates on the manifolds are prescribed at every point, which is done implicitly by assigning a metric tensor to every point, then the partial derivative operators of first order (\left\{\frac{d}{dr}, \frac{d}{d\theta}\...
(mathematics) A metric tensor. Metric Abbreviation of metric system Metric To measure or analyse statistical data concerning the quality or effectiveness of a process. We need to metric the status of software documentation. We need to metric the verification of requirements. We need to metric the...
From the mathematical viewpoint, the same special role can be played by the small deformation strain tensor, which describes the geometrical properties of any region deformed because of the effect of some external agent. It can be proved that, from that tensor, all the mathematical structures ...
Calculation of material properties and ray tracing in transformation media The transformed material property tensors may be interpreted as a different set of material properties in a flat, Cartesian space. We describe the ... D Schurig,JB Pendry,DR Smith - 《Optics Express》 被引量: 949发表:...
Einstein's field equations relate $g$, $S$ and the energy momentum tensor and describe the geometry and physical contents of the spacetime. By solving Einstein's field equations for empty spacetime (i.e. $S = 0$) for a non-static spacetime metric, one can obtain the interior black hole...