# Super-energy tensors

@article{Senovilla1999SuperenergyT, title={Super-energy tensors}, author={Jos{\'e} M. M. Senovilla}, journal={Classical and Quantum Gravity}, year={1999}, volume={17}, pages={2799-2841} }

A simple and purely algebraic construction of super-energy (s-e) tensors for arbitrary fields is presented in any dimensions. These tensors have good mathematical and physical properties, and they can be used in any theory having as basic arena an n-dimensional manifold with a metric of Lorentzian signature. In general, the completely timelike component of these s-e tensors has the mathematical features of an energy density: they are positive definite and satisfy the dominant property, which…

## 188 Citations

### Positivity and conservation of superenergy tensors

- Mathematics
- 2002

Two essential properties of energy–momentum tensors Tμν are their positivity and conservation. This is mathematically formalized by, respectively, an energy condition, as the dominant energy…

### Positivity and conservation of superenergy tensors

- Mathematics
- 2002

Two essential properties of energy–momentum tensors Tμν are their positivity and conservation. This is mathematically formalized by, respectively, an energy condition, as the dominant energy…

### Fe b 20 02 Positivity and conservation of superenergy tensors

- Mathematics
- 2002

Two essential properties of energy–momentum tensors Tμν are their positivity and conservation. This is mathematically formalized by, respectively, an energy condition, as the dominant energy…

### Causal tensors and simple forms

- Mathematics
- 2002

A rank-r tensor on a Lorentzian manifold of dimension N is causal if the contraction with r arbitrary causal future-directed vectors is non-negative. General superenergy tensors1, such as the Bel and…

### Superenergy tensors and their applications

- Mathematics
- 2002

In Lorentzian manifolds of any dimension the concept of causal tensors is introduced. Causal tensors have positivity properties analogous to the so-called ``dominant energy condition''. Further, it…

### New conservation laws for electromagnetic fields in gravity

- Physics
- 2003

AbstractA recently found [5] 2-index, symmetric, trace-free, divergence-free tensor isintroduced for arbitrary source-free electromagnetic ﬁelds. The tensor can be con-structed for any test Maxwell…

### Energy and electromagnetism of a differential form

- Mathematics
- 2012

Let X be a smooth manifold of dimension 1+n endowed with a lorentzian metric g, and let T be the electromagnetic energy tensor associated to a 2-form F. In this paper we characterize this tensor T as…

### Minimal tensors and purely electric or magnetic spacetimes of arbitrary dimension

- Mathematics
- 2012

We consider time reversal transformations to obtain twofold orthogonal splittings of any tensor on a Lorentzian space of arbitrary dimension n. Applied to the Weyl tensor of a spacetime, this leads…

### CYK tensors, Maxwell field and conserved quantities for the spin-2 field

- Physics
- 2002

Starting from an important application of conformal Yano–Killing tensors for the existence of global charges in gravity (which has been performed in [17] and [18]), some new observations at + are…

### Dynamical laws of superenergy in general relativity

- Physics
- 2007

The Bel and Bel–Robinson tensors were introduced nearly 50 years ago in an attempt to generalize to gravitation the energy–momentum tensor of electromagnetism. This generalization was successful from…

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