In physics and mathematics, a **pseudotensor** is usually a quantity that transforms like a tensor under an orientation preserving coordinate transformation (*e.g.*, a proper rotation), but additionally changes sign under an orientation reversing coordinate transformation (*e.g.*, an improper rotation, which is a transformation that can be expressed as a proper rotation followed by reflection).

There is a second meaning for **pseudotensor**, restricted to general relativity; tensors obey strict transformation laws, whilst pseudotensors are not so constrained. Consequently the form of a pseudotensor will, in general, change as the frame of reference is altered. An equation which holds in a frame containing pseudotensors will not necessarily hold in a different frame; this makes pseudotensors of limited relevance because equations in which they appear are not invariant in form.

Read more about Pseudotensor: Definition, Examples

### Other articles related to "pseudotensor, pseudotensors":

**Pseudotensor**- Einstein

**Pseudotensor**

... This

**pseudotensor**was originally developed by Albert Einstein ... Paul Dirac showed that the mixed Einstein

**pseudotensor**satisfies a conservation law Clearly this

**pseudotensor**for gravitational stress–energy is constructed ... of the metric vanish because each term in the

**pseudotensor**is quadratic in the first derivatives of the metric ...

**Pseudotensor**- Landau–Lifshitz

**Pseudotensor**

... The use of the Landau–Lifshitz combined matter+gravitational stress–energy–momentum

**pseudotensor**allows the energy–momentum conservation laws to be extended into general relativity ... matter stress–energy–momentum tensor from the combined

**pseudotensor**results in the gravitational stress–energy–momentum

**pseudotensor**...

... It is sometimes modeled via the Landau-Lifshitz

**pseudotensor**which allows the energy-momentum conservation laws of classical mechanics to be retained ... Addition of the matter stress-energy-momentum tensor to the Landau-Lifshitz

**pseudotensor**results in a combined matter plus gravitational energy

**pseudotensor**which has a vanishing 4-divergenc ... Some people object to this derivation on the grounds that

**pseudotensors**are inappropriate in general relativity, but the divergence of the combined matter plus gravitational energy

**pseudotensor**is ...

**Pseudotensor**- Landau–Lifshitz

**Pseudotensor**- Verification

... The Landau–Lifshitz

**pseudotensor**is constructed so that when added to the stress–energy tensor of matter, its total 4-divergence vanishes ... The Landau–Lifshitz

**pseudotensor**appears to include second derivative terms in the metric, but in fact the explicit second derivative terms in the ... This is more evident when the

**pseudotensor**is directly expressed in terms of the metric tensor or the Levi-Civita connection only the first derivative terms in the metric survive and ...

**Pseudotensor**- Examples

... as such, an integrand is an example of a

**pseudotensor**density according to the first definition ...