Browse Journals

We want to analyze the energy-momentum tensor obtained for spinors in general relativity in the linear gravity approximation.

For this study, we take as a reference the theory of spinors in general relativity, the formalism of the spin connection, covariant derivatives refer to that theory.

We consider linear gravity with  here we assume  as a first step of perturbation from flat spacetime, recursively we apply the same approximation till to  contributions.

In this process, we examine the energy momentum for a Dirac particle and calculate the tensor connected to each step of perturbation from flat to  

The energy-momentum tensor has recursive behaviour: in particular, at each step towards a little more curved space-time, a new contribution must be added to the energy-momentum tensor calculated in the former step.

In this approximation the tensor   linearly depends on the metric, this may then appear to be a clue that leads to a form of quantization of the energy if we assume the metric is quantized.

The analysis continues in more detail, we see in particular that there are intakes related to the spin connection so that the full energy momentum approximation is

Starting from additional contributions to the energy momentum tensor we try to attribute a new physical meaning to the cosmological constant. In the second part of the paper, we consider the tensor as a source of the wave equation and study different solutions according to distinctive terms of the tensor.

 linear gravity, energy-momentum tensor, wave equation, expansion.