Topogravitic tensor
Encyclopedia
In general relativity
, the topogravitic tensor is one of the three pieces of the Bel decomposition
of the Riemann tensor.
The topogravitic tensor can be interpreted as representing the sectional curvatures for the spatial part of a frame field
.
General relativity
General relativity or the general theory of relativity is the geometric theory of gravitation published by Albert Einstein in 1916. It is the current description of gravitation in modern physics...
, the topogravitic tensor is one of the three pieces of the Bel decomposition
Bel decomposition
In semi-Riemannian geometry, the Bel decomposition, taken with respect to a specific timelike congruence, is a way of breaking up the Riemann tensor of a pseudo-Riemannian manifold into four pieces. It was introduced in 1959 by the physicist Lluis Bel....
of the Riemann tensor.
The topogravitic tensor can be interpreted as representing the sectional curvatures for the spatial part of a frame field
Frame fields in general relativity
In general relativity, a frame field is a set of four orthonormal vector fields, one timelike and three spacelike, defined on a Lorentzian manifold that is physically interpreted as a model of spacetime...
.