Some remarks on the Bel-Robinson Tensor
arXiv:gr-qc/0003006 · doi:10.1002/1521-3889(200111)10:11/12<911::AID-ANDP911>3.0.CO;2-M
Abstract
In this paper we present our point of view on correct physical interpretation of the Bel-Robinson tensor within the framework of the standard General Relativity ({\bf GR}), i.e., within the framework of the {\bf GR} without supplementary elements like arbitrary vector field, distinguished tetrads field or second metric. We show that this tensor arises as a consequence of the Bianchi identities and, in a natural manner, it is linked to the differences of the canonical gravitational energy-momentum calculated in normal coordinates {\bf NC(P)}.
12 pages, no figures, uses Revtex 3.0
References in corpus (9)
- The Confrontation between General Relativity and Experiment
- Super-energy tensors
- General Electric-Magnetic decomposition of fields, positivity and Rainich-like conditions
- Graviton-Graviton Scattering, Bel-Robinson and Energy (Pseudo)-Tensors
- Experimental Tests of Relativistic Gravity
- Super-energy tensor for space-times with vanishing scalar curvature
- Clifford Algebra Approach to Superenergy Tensors
- Applications of Super-Energy Tensors
- Tests of strong-field gravity and gravitational radiation damping in binary-pulsar systems
Cited by in corpus (16)
- A Primer on Energy Conditions
- Energy and Momentum Distributions of a (2+1)-dimensional black hole background
- Energy-momentum complexes in f(R) theories of gravity
- On Geometric Objects, the Non-Existence of a Gravitational Stress-Energy Tensor, and the Uniqueness of the Einstein Field Equation
- Moeller's Energy-Momentum Complex for a Spacetime Geometry on a Noncommutative Curved D3-Brane
- On the superstrings-induced four-dimensional gravity, and its applications to cosmology
- Energy-momentum density in small regions: the classical pseudotensors
- Plebański-Demiański solution of general relativity and its expressions quadratic and cubic in curvature: analogies to electromagnetism
- Quasi-Local Energy of a Charged Rotating Object Described by the Kerr-Newman Metric
- A gravitational energy-momentum and the thermodynamic description of gravity
- New positive small vacuum region gravitational energy expressions
- Gravitational energy in a small region for the modified Einstein and Landau-Lifshitz pseudotensors
- An ASSF and the Teleparallelisim
- Brane-World Black Holes and Energy-Momentum Vector
- The Momentum Four-Vector in Brans-Dicke Wormholes
- Is torsion needed in a theory of gravity? A reappraisal